The perimeter of the quadrilateral is b + 2c - 2 inches
How to determine the perimeterTo determine the value of the perimeter, we need to know the properties of a quadrilateral.
These properties includes;
They are known to have four verticesThey are known to have four sides.The sum of all interior angles of a quadrilateral is 360°.They have two diagonals.A quadrilateral can be seen as a regular or irregular shapeThe perimeter of a quadrilateral is expressed as;
Perimeter = A + B + C + D
add the values of the sides
Substitute the values, we have;
Perimeter = b + c + b - 2 + c - b
collect the like terms
Perimeter = b + 2c - 2
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The area of a triangular block is 25 square inches. If the base of the triangle is twice the height, how long are the base and the height of the triangle? The base of the triangle is inches. The height of the triangle is inches.
Answer:height = 5 inches and the base = 10 inches.
Step-by-step explanation:
Jared's class took a survey to see how many students owned a trampoline. Of the 24 students in the class, 14 students said they owned a trampoline. If you chose a student at random from Jared's class, what is the probability that the student does not own a trampoline?
The probability that the student does not own a trampoline is given by the relation P ( A' ) = 5/12
Given data ,
Let the probability that the student does not own a trampoline be P ( A ' )
Given that there are 14 students who own a trampoline out of 24 students in total, the probability of owning a trampoline is 14/24. Therefore, the probability of not owning a trampoline is:
1 - 14/24 = 10/24 = 5/12
So, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12
Hence , the probability is 5/12
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please help!!!!!!!!!!!
The value of x in the given diagram is 12.
option C.
What is the value of x?The value of x in the given diagram is calculated by apply the principle of intersecting chord theorem as shown below;
The intersecting chord theorem states that angle formed at the circumference is twice the angle at the tangent.
the angle at circumference = 360 - (6 + 20x)
tangent angle = 4x + 9
360 - (6 + 20x) = 2 (4x + 9)
360 - 6 - 20x = 8x + 18
-28x = -336
x = 336/28
x = 12
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ERROR ANALYSIS Describe and correct the error in finding the area of sector XZY when the area of OZ is 255 square feet. X W Z X 115 Let n be the area of sector XZY. 115 255 n≈ 162.35 ft² n 360 =
Answer: The correct answer would be n/255 = 115/360 (N= 81.46)
Step-by-step explanation:
n/255 = 115/360
155/360 = (255)
n = 81.46 ft squared
Help !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Upper problem:
The transformation is a translation of 3 units down.
Lower problem:
The transformation is a translation of 2 units left and 5 units down.
Solve for x. Round to the nearest tenth, if necessary.
Step-by-step explanation:
For a RIGHT triangle tan Φ = opposite leg / adjacent leg
for this triangle
tan 71 = x / 5.7
5.7 * tan 71 = x = 16.6 units
Given that the perimeter of an equilateral triangle is 63 inches, find the height/altitude of the triangle.
The height of the triangle is h = 18.18 inches
Given data ,
In an equilateral triangle, all three sides are equal in length.
Let the length of each side be s
Now , the perimeter of the equilateral triangle is given as 63 inches, so we have:
Perimeter of the triangle = 3s = 63 inches
Dividing both sides by 3, we get:
s = 63/3 = 21 inches
Let's now plot an altitude from one of the equilateral triangle's vertex to the side's midway. As a result, two right-angled triangles will be formed, each with the hypotenuse "s" and sides "s/2" and "h"
From the Pythagoras theorem , we get
(h²) + ((s/2)^2) = s²
Substituting the values we found earlier for "s", we get:
(h²) + ((21/2)²) = 21²
Simplifying further, we have:
(h²) + (10.5²) = 21²
(h²) + 110.25 = 441
Subtracting 110.25 from both sides, we get:
h² = 330.75
On taking square roots on both sides , we get
h = √(330.75)
h ≈ 18.18 inches
Hence , the height of the equilateral triangle is 18.18 inches
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A study is testing the effectiveness of a new allergy medication. Sixty people who reported they have allergies volunteered to be part of the study and were randomly assigned to one of two groups, as shown in the design web.
Which of the following accurately describes the benefit of comparison in the experiment shown in the design web?
A. The level of allergic symptoms in both groups can be compared to see if the new medication had a significant effect.
B. The overall level of allergic symptoms can be used to determine if the new allergy medication had a significant effect.
C. The level of allergic symptoms in the group who received the medication can be used to determine if the medication had a significant effect.
D. The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect because one group only received a placebo.
The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect since, one group only received a placebo accurately describes the benefit of comparison in the experiment shown in the design web. Thus option A is correct.
A scientific experiment inside that carry out a sequence of tasks and closely monitor their results to discover new information. An investigation is a method that used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that hasn't been tried before.
Although one sample only obtained a placebo inside the investigation depicted in the design web, which is difficult to compare the severity of allergic rhinitis in both groups to establish whether the drug had a substantial impact.
Hence, option A is the correct option.
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The number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p.
The equation of proportionality is n =
270
p
Work out the power of the kettle if it takes 90 seconds to boil.
If your answer is a decimal, give it to 1 d.p.
The power of the kettle if it takes 90 seconds to boil given the inverse proportionality is 3 kilowatts.
What is the power of the kettle?Let
number of seconds that it takes for a kettle to boil = n
power of the kettle = p
n = 270/p
If n = 90 seconds
n = 270/p
90 = 270/p
90 × p = 270
90p = 270
divide both sides by 90
p = 270/90
p = 3 kilowatts
Ultimately, the power of the kettle is 3 kilowatts.
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Find the standard deviation
of the given data.
First, find the mean, X, of the data.
5, 6, 8, 13
Answer:
Step-by-step explanation:
The mean of data is 5.5
Given that
The number of data is = n = 4
The given Numbers are 5, 6, 8, 13
We know
Mean x bar = (sum of data)/(number of data)
= (5 + 6 + 8 + 3)/4
= 22/4
= 5.5
Thus, x bar = 5.5
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If $x$ is a real number, find $49x^2+14x(19-7x)+(19-7x)^2$
The value of the expression is $-56x² + 266x + 261
What are algebraic expressions?Algebraic expressions are simply described as mathematical expressions that consists of coefficients, certain variables, terms, constants and factors.
Algebraic expressions are also identified with arithmetic operations, such as;
SubtractionMultiplicationDivisionAdditionBracketParenthesesFrom the information given, we have;
$49x^2+14x(19-7x)+(19-7x)^2
expand the bracket, we get;
49x² + 266x - 98x² + 361 - 7x²
Now, collect the like terms, we get;
49x² - 98x² - 7x² + 266x + 361
Add or subtract the values
$-56x² + 266x + 261
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Determine whether the given ordered list of numbers is a solution of the the system of equations
It should be noted that to evaluate whether an organized array of numbers serves as a resolution for a combination of equations, one can apply this method.
How to explain the methodWrite down the arrangement of equations that you wish to evaluate the solution for. For illustration, let us say that we have this system:
2x + 3y = 7
x - y = 2
Inject the data from the orderly list into the equations. For example, if the ordered list is (x=1, y=3), then we have:
2(1) + 3(3) = 7
1 - 3 = -2
Verify whether the outcome of the equations are equivalent to the values in the ordered list. If they are, then the orderly list is a resolution of the arrangement of equations. On the other hand, if not, then it is not a solution.
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Find the maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm.
The maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm is 337.5 cm³
Let's denote the radius of the cylindrical can as r, and its height as h.
The circumference of the base of the can is 2πr, so the sum of the height and the circumference can be written as:
h + 2πr = 45..(1)
We want to find the maximum volume of the can, which is given by:
V = πr²h..(2)
From (1), h = 45 - 2πr
Substitute h value in equation above
V = πr²(45-2r)
V = 45πr² - 2π²r³
To find the maximum volume, we have to find the differentiation of V
dV/dr = 90πr - 6π²r² = 0
Solving for r, we get:
r = 15/π cm
Now plug in r value in h
V = π(15/π)²(15)
= 337.5 cm³
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Is the function g(x)=8 linear or nonlinear?
Answer:
It's linear
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
What is the value of x?
cos 63° = sin x
Enter your answer in the box
X=
Answer:
x = 27°
Step-by-step explanation:
using the co-function identity
cos x = sin(90 - x) , then
cos63° = sin(90 - 63)° = sin27° with x = 27°
I have to factor, solve, and sketch a parabola for the following, but I do not know how.
2x(x-7)
(x+4)(x-4)
The parabola for the expression are given in attachment.
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix
y=2x(x-7)
Let us take few values of x and y and draw the parabola
Similarly we draw the graph for (x+4)(x-4)
Hence, the parabola for the expression are given in attachment.
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Devon bought a tie. The tie cost $22.50 before tax. After tax, Devon spent $24.30. What was the percent of sales tax
8% will be the value of sales tax that has been charged on a tie will be.
The tie cost is $22.50
The cost after the tax is $24.30.
The change in the cost will be:
= cost after-tax - cost before tax
=24.30-22.50
=1.8
The percentage change will be
Next, assemble a ratio of the sales tax to the pre-tax cost of the tie.
=Sales tax/Pre-tax value
= (1.8/22.50)*100
=8%
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The question the question shown says, Classify the following triangle as Acute, Obtuse or Right. The angles shown on the triangle are 45, 45, and 90.
Answer:
c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
A. incorrect. Acute is when all the angles in the triangle are less than 90, not including 90 ex. (35, 65,80)
B. incorrect. Obtuse is when you have 1 angle greater than 90, not including 90. ex( 100,20, 60)
C. correct, Right is when you have have 1, 90 degree angle. That symbol in the corner of the triangle means the lines are perpendicular, which means it forms right angle or 90 degree angle
D, incorrect because C is true
which can be represented using the product (50)*(-5) ?
The expression that can be represented by product (50)*(-5) is 250
Which expression represented using the product (50)*(-5) ?Any number that can be expressed as the product of 50 and -5 can be represented using the expression (50)*(-5).
For example, if we multiply 50 and -5, we get -250. Therefore, -250 can be represented using the expression (50)*(-5).
Similarly, if we multiply 50 and -5 by any other number, we can represent the product using the expression (50)*(-5).
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Women in the age group of 20-29 have total cholesterol levels with a mean of 183 mg per dl and the standard deviation of 37. 2mg per dl. if 250 women were randomly selected about how many would you expect to have a total cholesterol level greater than 240mg/dl?
Answer:
Sidama Cofee Football Team, the Ethiopian premier league club in Yiregalem, plays 70 percent of their games at night and 30 percent during the day. The team wins 50 percent of their night games and 90 percent of their day games. According to today’s news, they won yesterday. What is the probability the game was played at night?
For each graph below, state whether it represents a function. I don’t know if I got these right.
Answer:
you got them all right except graph 4 is a function! The trick is to use the vertical line test. Put your pencil vertically on your paper and move it across the graph. If your pencil passes through the same point twice, it's not a function. :)
Step-by-step explanation:
If four bags of flour and three bags of sugar hace a total mass of 3.9kg (one bag of sugar has a mass of 460g)
What is the mass of one bag of flour?
_________________________________
Notes: 1,000g = 1kg1 Bag of Sugar = 460gTotal Mass of Bags = 3.9kg= 460g × 3= 1,380g= 1,380g ÷ 1,000= 1.38kg= 3.9kg - 1.38kg= 2.52kg= 2.52kg ÷ 4 = 0.63kg= 0.63kg × 1,000= 630g1 Bag of Flour Is 630g________________________________
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
S
Match the system of equations to the number of solutions it has.
y=5z+7
3y-15z = 18
z-2y=6
3z-6y=18
y-3z +6
--2-4
3-12-1
y-z-2
Infinite Solutions
One Solution
#Infinite Solutions #No Solutions :: One Solution
One Solution
No Solutions
How to solve a 2 step inequality
Answer: To solve a two-step inequality, undo the addition or subtraction first, using inverse operations, and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa. Similarly, the inverse operation of multiplication is division and vice versa.
Step-by-step explanation:
You need to arrange 7 of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
There are 5,040 different ways you can arrange your 7 favorite books on the small shelf.
The organization or positioning of a group of items or components in relation to one another is referred to as an arrangement. It can be used in a variety of situations, such as mathematics, art, or event planning, and can relate to the arrangement, positioning, or grouping of things.
The number of different ways you can arrange 7 books in a specific order is given by the permutation formula:
P(7,7) = 7!
where "!" denotes the factorial operation.
Thus, the number of ways you can arrange your 7 favorite books along a small shelf, assuming that the order of the books makes a difference to you, is:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040
Therefore, there are 5,040 different ways you can arrange your 7 favorite books on the small shelf.
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Complete the ratio table
What is the volume of this figure?
Enter your answer in the box.
Answer:6720m^2
Step-by-step explanation:
PLEASE HELP
What is the difference between the median math test score in the morning and the
afternoon?
Answer:
difference = 12.5
Step-by-step explanation:
the median score is the value of the line inside the box.
median in afternoon = 75
median in morning = 87.5
difference = 87.5 - 75 = 12.5
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the question is in the photo!!
In the above triangle,
1) the sum of side 1 and 2 is: 4x² + 3x + 4
2) the length of side 3 is: 5x³-6x²-12
1) To find the sum of side 1 and side 2, we simply need to add them together.
Side 1 = 3x² - x - 1
Side 2 = x² + 4x + 5
Side 1 + Side 2 = (3x² - x - 1) + (x² + 4x + 5)
= 3x² + x² - x + 4x - 1 + 5
= 4x² + 3x + 4
Therefore, the sum of side 1 and side 2 is = 4x² + 3x + 4
2) We can derive the expression of the thried side by removing the expression in (1) above form the perimeter.
That is;
(5x³-2x² + 3x - 8) - (4x² + 3x + 4)
First we distribute the negative sign
= 5x³-2x² + 3x - 8 + -1 (4x² + 3x + 4)
= 5x³-2x² + 3x - 8 + -1 (4x²) -1( 3x) -1( 4)
= 5x³-2x² + 3x - 8 + -4x² - 3x - 4
Combining like terms we have
= (5x³) (-2x²+-4x²) + (3x +- 3x) + (-8 + - 4)
= 5x³-6x²-12
Hence the missing side (thrid side is) 5x³-6x²-12
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