Answers
Step-by-step explanation:
the perimeter is the sum of the lengths of all outside sides.
at the top is a triangle.
at the bottom is a rectangle.
the triangle looks like an isoceles triangle (both legs are equal), but the given measurement tells us otherwise.
if it were isoceles, the height would split the baseline into 2 equal halves (20/2 = 10ft).
per Pythagoras the 12 ft Hypotenuse would be
Hypotenuse² = 10² + 10² = 100 + 100 = 200
Hypotenuse = sqrt(200) = 14.14213562... and NOT 12 ft.
so, we need to calculate the actual part of the 20ft baseline (again Pythagoras) :
12² = 10² + part²
144 = 100 + part²
44 = part²
part = sqrt(44) = 6.633249581... ft
that means the 2nd part of the baseline is
20 - 6.633249581... = 13.36675042... ft
and we get the second leg of the large triangle again via Pythagoras :
leg² = 10² + 13.36675042...² = 100 + 178.6700168...
leg² = 278.6700168...
leg = sqrt(278.6700168...) = 16.69341238... ft
we need to sum up both legs of the triangle, 2 widths and one length of the rectangle, as the triangle base line and the second length of the rectangle cover each other up, and are not visible to the outside of the combined object.
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
Related Questions
You want to create a simulation of the following scenario:
In country x 50% of people have blood type O, 25% have blood type A, 12.5% have blood type B, and 12.5% have blood type AB.
In country y, 60% have blood type O, 20% have type A, 10% have type B and 10% have type AB.
What is the best way to assign values for a simulation using random digits table?
Choose answer from photo below! A, B, C, or D : this is the answer I want, not just an explanation please, thank you so much! 100 points!
Thank you :)
Answers
Answer: click thanks if you like my answer. have a good day <:
The best way to assign values for a simulation using a random digits table is to first identify the possible outcomes and assign a number or range of numbers to each outcome. Then, using the random digits table, randomly select digits and match them to the assigned outcomes.
For example, in the given scenarios for blood types in different countries, each blood type is assigned a specific number or range of numbers. Using the random digits table, the assigned numbers can be matched to the digits in the table to simulate the occurrence of each blood type in the population.
To answer the questions:
1.What is the purpose of assigning values for a simulation using a random digits table?
The purpose of assigning values for a simulation using a random digits table is to create a simulated scenario that reflects the likelihood of different outcomes based on assigned probabilities. This can help in making predictions and decisions in various fields such as medicine, finance, and social sciences.
2.In which scenario are blood types represented with the fewest number of digits?
Blood types are represented with the fewest number of digits in the third scenario for both Country X and Country Y. Blood type O is represented with 0, blood type A with 1, blood type B with 3, and blood type AB with 4, while all other digits are ignored.
3.In which scenario are blood types represented with the most number of digits?
Blood types are represented with the most number of digits in the first scenario for Country X, where blood type O is represented with 0, 1, 2, 3, 4, and 5, blood type A with 6 and 7, blood type B with 8, and blood type AB with 9. The same applies to Country Y in the first scenario.
Step-by-step explanation:
hope its help <:
during last nights basketball game the number of points scored by the hornets was triple the number of points scored by the raiders the raiders scored 6 points how many points did the hornets score?
2
9
12
18?
Answers
Answer:
18
Step-by-step explanation:
siz times three is eighteen
i’m begging someone help please i’ll give brainlist
Answers
Answer:
a-no for the first triangle, because the total of the inner angles must be 180, the last angle must be 90.
b-yes- a triangle with angles 90, 50, and 40 is possible
c-yes. 65+45+70=180.
Step-by-step explanation:
Zoe is saving money to go on a trip to Mexico. She earns 16.75 for mowing the lawn . If Zoe mows the lawn 28 times how much money will she earn
Answers
469
do 16.75 x 28 which will equal to 469
Write a real-world problem that could be represented by 5x+ 30 ≥ 90.
Answers
Answer: If Jamie is selling bags of carrots for $5 each and already has $30 what would he use to calculate how much money he made.
Find the midpoint of AB if A located at (1, 4) and B is located at (3, -6).
Answers
Answer:
The midpoint of a line segment AB with endpoints A(x1, y1) and B(x2, y2) is given by the coordinates:
[(x1 + x2) / 2, (y1 + y2) / 2]
In this case, A is located at (1, 4) and B is located at (3, -6). So the midpoint M of AB is:
[(1 + 3) / 2, (4 + (-6)) / 2]
= [2, -1]
Therefore, the midpoint of AB is at the point (2, -1).
The coordinates of the midpoint of the line AB is [2, -1]
What is section formula?Section formula is used to find the ratio in which a line segment is divided by a point internally or externally.
It is used to find out the centroid, incenter and excenters of a triangle. In physics, it is used to find the center of mass of systems, equilibrium points, etc.
Given that, we need to find the midpoint of AB if A located at (1, 4) and B is located at (3, -6).
The midpoint of a line segment AB with endpoints A(x1, y1) and B(x2, y2) is given by the coordinates:
[(x1 + x2) / 2, (y1 + y2) / 2]
In this case, A is located at (1, 4) and B is located at (3, -6).
So the midpoint M of AB is:
= [(1 + 3) / 2, (4 + (-6)) / 2]
= [2, -1]
Hence, the midpoint of AB is at the point (2, -1).
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20 points!! please help!!
Answers
To find the area of the total figure, we need to first find the areas of the rectangle and triangle, and then add them together.Therefore, the area of the total figure is 200 square feet.
What is area?Area is the measurement of the size of a two-dimensional surface enclosed by a closed figure
Area of rectangle = length x width
= 20 ft x 8 ft
= 160 sq. ft
Area of triangle = 1/2 xbase xheight
= 1/2 x 8 ft x 10 ft
= 40 sq. ft
To find the base of the triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse (slope) of a right triangle is equal to the sum of the squares of its two sides. In this case, the hypotenuse is 12 ft, one of the other sides is the height of the triangle (10 ft), and the other side is the base of the triangle (b).
Using the Pythagorean theorem, we have:
12² = 10² + b²
144 = 100 + b²
44 = b²
b = √44
b ≈ 6.63 ft
Now that we know the base of the triangle, we can find the area of the total figure by adding the area of the rectangle and the area of the triangle:
Area of total figure = area of rectangle + area of triangle
= 160 sq. ft + 40 sq. ft
= 200 sq. ft
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Maria and Ming start at the same point and rive in opposite directions. Maria drives 36 mph and Ming drives 32 mph. How far apart will they be in 2 hours
Answers
Maria and Ming will be 136 miles apart after 2 hours.
What is Distance?
Distance is the total length of a path an item or person takes to get from one place to another, ignoring the direction of motion. Given that it is a scalar number, it has only a magnitude and no direction. The most common units used to determine distance are meters, kilometers, miles, and feet. (ft).
The distance between Maria and Ming will grow at a rate that is equal to the sum of their speeds because they are traveling in opposite directions:
distance between them = (Maria's speed + Ming's speed) x time
= (36 mph + 32 mph) x 2 hours
= 68 mph x 2 hours
= 136 miles
Therefore, Maria and Ming will be 136 miles apart after 2 hours.
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f(x) = 2x - 1 g(x) = 7x + 8 find (gof) (x)
Answers
Answer:
(gof)(x) = 14x + 1
Step-by-step explanation:
We can think of (gof)(x) as g(f(x)). Writing it in this form shows that we must start with the inner function and work our way to the outer function.
Essentially, the input of the inner function yields an output and the output becomes the input of the outer function.
f(x) means that the input is x and since we're given no value for x (e.g. x = so and so), the output is the original function or 2x - 1
Now, this output becomes the input for g(x):
g(2x-1) = 7(2x - 1) + 8
14x -7 + 8
(gof)(x) = 14x + 1
Write a quadratic function in standard form to represent the data in the table.
Answers
Therefore, the quadratic function in standard form that represents the data in the table is: y = 1/2 x² - 5/2 x + 5.
What is function?A function is a mathematical concept that describes the relationship between two sets of numbers. It is a rule that assigns to each input (or element in the domain) exactly one output (or element in the range). In simpler terms, a function is like a machine that takes in a number and produces another number as output, according to some specific rules. The input is usually denoted by x, and the output by f(x), which is read as "f of x". Functions can take many forms, such as linear, quadratic, trigonometric, exponential, logarithmic, and more. They are widely used in mathematics, science, engineering, and many other fields to model and analyze various phenomena.
Here,
To write a quadratic function in standard form, we need to use the general form of the quadratic equation:
y = ax²+ bx + c
where a, b, and c are constants. We can use the values in the table to find these constants.
When x = 2, y = 3
When x = 4, y = 1
When x = 6, y = 3
When x = 8, y = 9
When x = 10, y = 19
Substituting these values into the quadratic equation, we get:
3 = 4a + 2b + c
1 = 16a + 4b + c
3 = 36a + 6b + c
9 = 64a + 8b + c
19 = 100a + 10b + c
We can now use these equations to solve for a, b, and c. One way to do this is to use a matrix equation:
|16 4 1| |a| |1|
|36 6 1| |b| = |3|
|64 8 1| |c| |9|
Using a calculator or matrix software, we can solve for a, b, and c:
a = 1/2
b = -5/2
c = 5
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You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is 1 ft:1.68 cm.
If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be?
The model will be
toothpicks tall.
Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.6 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.
The model will be approximately
cotton swabs tall.
Answers
Answer:
8 toothpicks
7 cotton swabs
Step-by-step explanation:
Since the school is 30 feet tall and the scale is 1 ft : 1.68 cm, 30 feet will require a scale model of 1.68 x 30 = 50.4 cm
Since each toothpick is 6.3 cm tall, the total number of toothpicks required for 50.4 cm = 50.4/6.3 = 8 toothpicks
If using cotton swabs each 7.6 cm tall, the number of cotton swabs would be 50.4/7.6 = 6.63
Rounding this to the nearest number means you will need 7 cotton swabs
Use the trapezoid shown to mark each statement below as true or false. If false, rewrite the statement correctly in the space below the statement.
1. The length of line AB can be found using 3^2 + b^2 = 4^2.
2. The perimeter of the trapezoid shown is 22 units.
Answers
True. The length of AB can be gotten by 3^2 + b^2 = 4^2.
True. The perimeter of the trapezoid shown is not 22 units.
How to solve for the perimeterThe length of AB can be gotten by 3^2 + b^2 = 4^2.
9 + b^2 = 16
b^2 = 16 + 9
b = 5
Then we have to count the boxes to get the length of the other sides
CD = 4
AD = 8
BC = 5
AB = 5
Then the perimeter would be be 5 + 5 + 8 + 4
= 22
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58 points please urgent super urgent
4x=16
what is x
Answers
Answer:4? Think
Step-by-step explanation:
1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
Answers
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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It Quiz: Graphs and Measurement
Diana is making enough soup to feed 9 people. She plans to serve all of the soup to her guests in 6-ounce bowls.
In order to make enough soup, she needs to add a total of 4.75 cups of water. There are 8 ounces in a cup.
How many total ounces of water did Diana add to her soup? What is the total number of ounces of the other
ingredients in her soup? Explain how you found your answers.
Type your answer in the box below.
mentum
Copyright© 2022 Edmentum, Inc. All Rights Reserved
Privacy Policy California Priv
Mar 10
11:
Answers
Answer:
1. 57/16 or 3.5625 ounces of water
8 : 4.75
1 : 19/32 -----> divide both by 8
19/32x6=57/16 = 3.56 ounces
2. 2.4375 ounces of other ingredients
6-3.5625=2.4375
Whats the the sum of x and 2
Answers
The sum of x and 2 is equal to x + 2.
What is value?Value in math is the numerical representation of a quantity or expression. It can also be defined as an amount or a numerical representation of a quantity that is assigned to a variable or a constant in a mathematical expression. Value can be expressed in various forms, such as decimal, fraction, and scientific notation. Value is also used to calculate the result of an equation or a problem. Value is a fundamental concept in mathematics, and it is used to measure and compare different quantities.
This equation can be used to calculate the sum of any two numbers, x and 2. For example, if x is equal to 5, then the sum of x and 2 is equal to 5 + 2, which is equal to 7. Similarly, if x is equal to 10, then the sum of x and 2 is equal to 10 + 2, which is equal to 12. Therefore, the sum of x and 2 depends on the value of x.
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examine each equation and determine if it represents a
linear or nonlinear function. Explain your reasoning please.
7 y = ²³/x+7
8 y = x³ + 2
Answers
Using function concepts, we have that:1. Non-linear2.B)x y0 11 22 53 103. Linear4.: Linear: Linear: Non-Linear: Linear5. LinearIn a linear function, the rate of change is constant.A linear function is also of the first degree.Item 1:From -3 to -1, the rate of change is of From -1 to 1, the rate of change is of .Different rates of change, so non-linear.Item 2:At function b, from 0 to 1, the rate of change is of 1, from 1 to 2 of 3, different rates of change, so non-linear.Item 3:Highest degree of x is 1, so first degree, and thus linear.Item 4:The only non-linear is , which is of the second degree. is a constant function, with a rate of change of 0, so linear.The last function is written as:Highest degree of x is 1, so also linear.Item 5:In all cases, the rate of change is constant, so linear.
Jaylen estimates the side of the square to be 8.5 inches long. The actual length of the side of the square is 8.3 inches long. What is the percent error of the area of the two squares?
Answers
Answer:
4.88%
Step-by-step explanation:
All sides of a square are equal
let x = length of a side
Area = x·x = x²
Estimated area = (8.5)² = 72.25 in²
Actual area = (8.3)² = 68.89 in²
percent error = (actual area - estimated area) / (estimated area) x 100
% error = (68.89 - 72.25) / (68.89) x 100 = -4.88% the negative sign means the estimate was higher than the actual.
Darlena has started taking photos at amateur dog racing events, later offering the photos for sale to the dog owners by email. The prices she has charged per photo at each of her first three events, and the corresponding number of photos sold and total revenue raised, appear in the table below.
Treating revenue as a function of the number of photos sold, a graph of the three data points is also shown. If she uses quadratic regression to fit a curve to the data, what number of photos sold and what price per photo will maximize her revenue?
Answers
The maximum revenue is achieved when she sells 33 photos at a price of 25 per photo.
Using quadratic regression, [tex]y = ax^2 + bx + c[/tex]
where a, b and c are constants and x is the independent variable we can determine the equation of the curve that best fits the data. The equation will be in the form of[tex]y = ax^2 + bx + c[/tex], where y is the revenue, x is the number of photos sold, and a, b, and c are constants. The constants can be determined by solving the system of equations formed by the three data points.
After solving for the constants, we can determine the maximum revenue by finding the vertex of the curve. The vertex is located at x = -b/2a, and the corresponding revenue is[tex]y = ax^2 + bx + c[/tex]. Plugging in the values for a, b, and c, we can calculate that the maximum revenue is achieved when she sells 33 photos at a price of 25 per photo.
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Complete question
Darlena has started taking photos at amateur dog racing events, later offering the photos for sale to the dog owners by email. The prices she has charged per photo at each of her first three events, and the corresponding number of photos sold and total revenue raised, appear in the table below. Treating revenue as a function of the number of photos sold, a graph of the three data points is also shown. If she uses quadratic regression to fit a curve to the data, what number of photos sold and what price per photo will maximize her revenue?
HELPPPPPP PLEASE PLEASEEEEEE
Determine a function type that
could represent the values in the
table.
x f(x)
0 −18
1 −15
2 −12
3 −9
4 −6
◻ linear
◻ quadratic
◻ exponential
Answers
Answer: Linear
Step-by-step explanation:
Since the difference between consecutive values of f(x) is constant, this suggests that the function could be linear. To confirm this, we can calculate the differences between consecutive values:f(1) - f(0) = -15 - (-18) = 3
f(2) - f(1) = -12 - (-15) = 3
f(3) - f(2) = -9 - (-12) = 3
f(4) - f(3) = -6 - (-9) = 3
Since the differences are constant and equal to 3, this confirms that the function is linear.
To find the equation of the linear function, we can use the slope-intercept form of a linear equation:
y = mx + bwhere m is the slope and b is the y-intercept.
We can use the first two points (0, -18) and (1, -15) to find the slope:
m = (change in y) / (change in x) = (-15 - (-18)) / (1 - 0) = 3
Now we can use the slope and one of the points to find the y-intercept:
y = mx + b
-18 = 3(0) + b
b = -18
Therefore, the equation of the linear function is:
f(x) = 3x - 18
So the function type that could represent the values in the table is linear.
A cone has a radius of 6 centimeters and a height of 10 centimeters. What is the volume of the cone in cubic centimeters?
centimeters?
A 480π cm³
B 120π cm³
C 360π cm³
D 60π cm³
Answers
The volume of the cone in cubic centimeters in terms of π = 120π cm³. That is option B.
How to calculate the volume of a cone?To calculate the volume of a cone, the formula that is to be used;
Volume = 1/3 πr²h
Where;
Height = 10 centimetres
Radius = 6 centimetres
Volume = 1/3 × π × 6²× 10
= 360π/3
= 120π cm³
Therefore the volume of the cone whose dimensions are given = 120π cm³.
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HELP
7th Grade Math Solving Equations
4. a-9=15
5. n-9=13
6. b-8=9
7. X-5=16
8. n-6=17
Answers
Answer:
4.
a-9=15
or. a=15+9
or. a=24
5.
n-9=13
or. n=13+9
or. n=22
6.
b-8=9
or. b=9+8
or. b=17
7
x-5=16
or. X=16+5
or X=21
8
n-6=17
or. n= 17+6
or. n=23
Step-by-step explanation:
minus sign changes into plus sign when changing sides
Please helpppppppp!!!!
Answers
The 3rd graph is the correct one representing the open sentence.
What is an Inequality?Inequalities is defined as the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values or data. The equal sign in between can be replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
-5≤n-2≤2
First you need to get n by itself, so add 2 to all 3 terms:
-5 +2 ≤ n-2+2 ≤ 2+2
Simplify:
-3 ≤ n ≤ 4
The less than or equal to signs (≤) mean the dots on the line graph are solid.
And n is between -3 and positive 4, the 3rd graph is the correct one.
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Answer the questions about the graph shown below.
Answers
Therefore, all values of x that are less than or equal to -3 make up the inequality's solution set.
what is inequality ?An inequality in mathematics is a claim that two values or expressions are not equivalent to one another. A relationship between two values, where one value is larger than, less than, or not equal to the other, is expressed by an inequality. The inequality marks "" (less than), ">" (greater than), "=" (less than or equal to), ">=" (greater than or equal to), and "" can be used to denote an inequality (not equal to).
given
The disparity is as follows:
-3x + 2 ≥ 11
By subtracting 2 from both sides of the inequality and then dividing the result by -3, we can separate x on one side of the inequality .
-3x + 2 - 2 ≥ 11 - 2
-3x ≥ 9
x ≤ -3
Therefore, all values of x that are less than or equal to -3 make up the inequality's solution set.
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In statistics how do you find the range in a data set from a box and whisker plot
Answers
To find the range of a data set from a box and whisker plot, you can use the whiskers of the plot. The whiskers represent the minimum and maximum values of the data set, so the range can be calculated by subtracting the minimum value from the maximum value.
What's is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of the distribution of a set of data. It displays a summary of the minimum, maximum, median, and quartiles of the data set.
A typical whisker plot consists of a rectangular box with a vertical line inside, which represents the median of the data set. The lower and upper edges of the box represent the first and third quartiles, respectively. The length of the box thus represents the interquartile range (IQR), which is a measure of the spread of the middle 50% of the data.
In statistics, the range of a data set can be found from a box and whisker plot by looking at the endpoints of the whiskers.
The whiskers in a box and whisker plot extend from the box to the smallest and largest data points within a certain range of the median. The range of the data set is simply the difference between the smallest and largest data points.
To find the range of the data set from a box and whisker plot, simply identify the endpoints of the whiskers and find the difference between them. Note that the whiskers may be labeled with the actual values of the data points or labeled with a multiple of the interquartile range (IQR), which is the distance between the first and third quartiles of the data set.
It's worth noting that the range is a very basic measure of the spread or dispersion of a data set and is sensitive to outliers. Other measures of spread, such as the interquartile range, variance, or standard deviation, may provide more robust and informative summaries of the data.
Hence, the method to plot whiskers in a data range is provided.
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An image of a rhombus is shown.
A rhombus with a base of 17 inches and a height of 14 inches.
What is the area of the rhombus?
62 in2
119 in2
124 in2
238 in2
Answers
Answer: The area of a rhombus can be calculated using the formula:
A = (base x height) / 2
Substituting the given values, we get:
A = (17 in x 14 in) / 2
A = 119 sq in
Therefore, the area of the rhombus is 119 square inches.
Hence, the answer is option B, 119 in2.
Step-by-step explanation:
The area of the rhombus is 238 square inches.
Explanation:To find the area of a rhombus, you can use the formula: Area = base * height.
In this case, the base of the rhombus is 17 inches and the height is 14 inches. Plugging these values into the formula, we get Area = 17 * 14 = 238 square inches.
Therefore, the area of the rhombus is 238 square inches.
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I will mark you brainiest!
What is the value of x in the figure below
A) 4.5
B) 10
C) 5
D) None of the choices are correct
Answers
Answer:
I will not show you the process it is easy the answer is 4.5 or 6 ≈
1 The table below shows the cost of an attorney as a function of the number o
hours worked.
A C=355h
3 C= _—_h+355°
Number of
Hours, h
1
255
4
7
8
Based on the table, which function models this situation?
Total Cost, C
с
$355
$1120
$1885
$2140
D
C=255h+100
C=765h-410
Answers
All three data points are compatible with this set of equations, leading us to the conclusion that C = -195h + 550 is the function that best describes the scenario.
What does a function look like in math?A function connects an input with an output. It works like a machine that has an input and an output. The traditional manner of writing a function is "f(x) = 5".
The following function represents this circumstance:
C = -195h + 550
The first two data points can be used to create two equations:
355 = -195(1) + C
1120 = -195(3) + C
When we solve for C in each equation, we obtain:
C = 550
C = 550 + 585 = 1135
We can try utilising the first and third data points as the second equation doesn't quite match the third data point:
355 = -195(1) + C
1885 = -195(4) + C
Solving for C in each equation, we get:
C = 550
C = 550 + 975
= 1525
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Determine the order of the following matrix:
[9 6 -4 8]
Answers
The order of the matrix is 2 x 2.
What is a matrix and what is meant by its order?
In the field of mathematics, matrices are rectangular arrangements of numerical values, symbols, or algebraic expressions, organized in rows and columns. Matrices are used in many areas of mathematics and science, as well as in engineering, physics, and computer graphics.
The term 'order' in the context of matrices refers to the dimensions of the matrix, which are determined by the number of rows and columns it contains. It is denoted by m x n, where m is the number of rows and n is the number of columns. To find the order of a matrix, we simply count the number of rows and columns. The order is usually written as a pair of numbers in the form m x n.
Determine the order of the given matrix:
In the given problem, we are asked to find the order of the matrix:
[tex]\begin{pmatrix}9 &6 \\-4 & 8\end{pmatrix}[/tex]
we count the number of rows and columns.
This matrix has 2 rows and 2 columns, so its order is 2 x 2.
Therefore, the order of the matrix is 2 x 2.
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OFFERING 70 POINTS AND BRAINLEST
Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
Answers
The correct number line is: A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
What is inequality?The mathematical expression of a connection between two values, stating that one value is larger than, less than, or not equal to another value, is called an inequality. Common symbols for inequality include (less than), > (greater than), (less than or equal to), and (greater than or equal to). For instance, the inequality 2x + 3 > 7 denotes that the value of 2x + 3 is larger than 7. Depending on the circumstance, inequalities can be resolved algebraically or visually. A collection of values that meet the connection implied by the inequality is the answer to an inequality.
Here, the inequality is y - 2 < -5, which can be rewritten as y < -3.
Hence, the correct option is: A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
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