Answers
Using Pythagorean's theorem we can see that the variables are:
t = 13.86
w = 12.81
How to find the values of the variables?Remember that for any right triangle, Pythagorean's theorem says that the sum of the squares of the legs is equal to the square of the hypotenuse, where the hypotenuse is the side opposite to the 90° angle.
Then for the first triangle we can write:
t² + 8² = 16²
Solving for t:
t = √(16² - 8²) = 13.86
For the second triangle we have:
10² + 8² = w²
Solving for w:
w = √(10² + 8²)
w = 12.81
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Related Questions
Help me Ive been on this question for a minute.
DM me on IG 1.rockkyy!!
Answers
The recursive formula is 5/6
What is recursive formula?You should know that a recursive formula is an equation used to describe a sequence in which terms are defined using one or more previous terms along with an initial condition.
The given parameters are
aₓ = a(n-1) + 2
Where aₓ = 2aₓ₋1
= 2*5(₃₋₁) = 5(3-1) + 2
= 10₂ = 10 + 2
Taking the log of both sides
Log₂10 - Log12 = 0
Dividing by 10 we have
10/12 = 5/6
therefore the recursive formula is 5/6
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A formula for the area, A, of the circular pool is given by the equation A=\pi\left(r-3\right)^2.
Which is a formula for r?
Answers
The formula for the variable r is r = √A/π
What is subject of formula?The subject of formula can be defined as the variable that is allowed to alone in an equation.
The variables is made to be written on one end of the equality sign.
It is also described as the variable that is worked out in an equation.
From the information given, we have that;
the formula for the area of the circular pool is;
A = πr²
Such that;
A is the area of the circler is the radiusWe then have;
r = √A/π
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Phillip wants to find the width, QP, of his driveway. He walks along the edge of the driveway 45 ft and
marks point R. Then he walks 13 ft further and marks point N. He turns 90° and walks until his location,
point R, and point P are collinear. He marks point M at this location, as shown.
(a) Can Phillip conclude that ΔPQR and ΔMNR are similar? Why or why not?
(b) Suppose MN = 15 ft. Calculate the width of the driveway, QP. Show all your work and round
answer to nearest tenth.
Answers
ΔPQR and ΔMNR are similar and if MN = 15 ft then the side length of QP is 52.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
ΔPQR and ΔMNR are similar are similar because both have the corresponding angles are congruent and the corresponding sides are in proportion .
If MN=15 feet we have to find QP
As sides are proportional
45/13=QP/15
Apply cross multiplication
45×15=13QP
675=13QP
Divide both sides by 13
QP=52
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what concepts of algebra 2 would you use in real life explain your scenario and how the concepts apply and provide a worked example for each concept
Answers
There are numerous concepts in algebra 2 that can be applied in real life scenarios. Some of which are linear equations and quadratic functions. The linear equation, for instance, helps to estimate that the cost i.e. of gas for a trip.
What algebra 2 concepts have practical applications in real life?Linear equations can be used in real-life for calculating distances, rates and costs. For instance, during plan for a road trip, it can be used to estimate distance, time it takes to travel, estimated cost of gas etc.
An illustration is when one is planning a road trip from New York to Los Angeles. We can estimate that the distance between the two cities is 2,800 miles and car has average fuel efficiency of 25 miles per gallon.
If gas costs $3.50 per gallon, We can use the linear equation to get the cost of trip which is:
= Distance / Miles per gallon * Price per gallon
= 2,800 / 25 * 3.50
= $392.
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Find the value of c that makes.....
Answers
The solution to the equation as it is given in (8) above is -21.
What is subtraction and multiplication properties of equality?According to the subtraction property of equality, If you subtract the same number from both sides of an equation, the equation remains true.
Also by the multiplication property of equality, If you multiply both sides of an equation by the same number (except zero), the equation remains true. These can be used to solve the question in (7) above
Given;
280 = -8(-14 + x)
280 = 112 - 8x
280 - 112 = -8x
x = -21
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The wingspan (in feet) of the actual airplane is equal to 87.5 feet.
A property of equality which you would use to solve the equation -15 = x/3 + 18 is: D. Subtraction property of equality and multiplication of equality.
The solution of the equation 280 = -8(-14 + x) is: B. x = -21.
How to determine the wingspan (in feet) of the actual airplane?Based on the scale model, we can logically deduce that the airplane has a length of 12.2 inches and a wingspan of 12.5 inches. This ultimately implies that, we would convert from inches to feet as follows;
1 inch = 1/12 feet
12.2 inches = 12.2 × 1/12 = 12.2/12 feet.
Therefore, the scaled factor is given by;
Scale factor = (85.4 × 12/12.2)
For the actual length of the wingspan with a scaled length of 12.5 inches, we have:
12.5 inches = 12.5/12 feet
Actual length of wingspan = 12.5/12 × (85.4 × 12/12.2)
Actual length of wingspan = 87.5 feet.
Question 7-15 = x/3 + 18
x/3 = -15 - 18 ⇒ (Subtraction property of equality)
x/3 = -33
x = 3(-33) ⇒ (Multiplication property of equality)
x = -99
Question 8280 = -8(-14 + x)
280 = 112 - 8x
8x = 112 - 280
x = -168/8
x = -21
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Hillary’s teacher asked her to write a description of the transformations to the parent cosine function that would result in this function. Which statements in her description are true about function h? To create the graph of function h, the graph of the parent function is horizontally compressed by a factor of . Then it undergoes a phase shift left units. Next it is vertically compressed by a factor of and vertically shifted up 4 units. The period of function h is half the period of the parent function, and it has an amplitude 3 units greater than that of the parent function. h(x)=-3cos(2x-pi)+4
Answers
The statements of description are true about function h as:
The horizontally compressed by a factor of 1/2.
The vertically shifted up 4 units.
The period of function h is half the period of the parent function.
The given function h(x) = -3cos(2x-π)+4 and compare it with the parent cosine function f(x) = cos(x).
First, let's look at the expression: -3cos(2x-π).
The factor of -3 represents a vertical compression by a factor of 3 from the parent function, which means the amplitude is three times smaller.
The argument 2x-π represents a horizontal compression by a factor of 2 and a phase shift to the right by π/2 units.
The period of the cosine function is 2π, but the period of -3cos(2x-pi) is π. Therefore, the period of h(x) = -3cos(2x-π)+4 is half that of the parent function.
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Fill in the missing terms to complete the factorization. 15x^2 + x - 2 = (? -1) (? + 2)
a- 3x, 5x
b- x, 15x
c- 5x, 3x
d- 15x, x
Answers
The County Times charges a bulk rate of $24.55 per column inch. SE Company has contracted for the bulk rate for the year. SE Company plans to run a half page ad (65.5 column inches) in every Wednesday’s newspaper for nine weeks. What is the total cost of this campaign? Round to the nearest cent.
Answers
The total cost of SE Company's advertising campaign will be $14,436.23.
The first step is to calculate the cost of the half-page ad for one week:
65.5 column inches × $24.55 per column inch = $1604.025
Since the ad will run for nine weeks, the total cost of the campaign is:
$1604.025 × 9 = $14,436.225
Therefore, the total cost of SE Company's advertising campaign will be $14,436.23.
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If lina takes an assignment at 4:30 and it takes her 12 minutes to complete it at what time did she finished?
Answers
Answer: 4:42
Step-by-step explanation:
4:30 + 0:12 = 4:42
Simplify the expression: 4√12
Answers
Answer:
Step-by-step explanation:
It is
4
√
12
=
4
√
3
⋅
4
=
4
⋅
2
⋅
√
3
=
8
√
3
find the length of the missing side. round to the nearest tenth if nessasary. 9 and 6 are the length of the legs and c is the hypotenuse.
Answers
In the words that your describing it, I supposed we are talking about the pythagorean theorem
What is the formula for the theorem?
a^2+b^2= C^2
A being the height
B being the Bottom
C being the slant or hypotenuse
How to Solve?
Well supposed 9 is a and 6 is b
[tex]9^{2}[/tex]+[tex]6^{2}[/tex]=[tex]c^{2}[/tex]
9 squared is 81 and 6 squared is 36
81+36= 117
So, 117=[tex]c^{2}[/tex]
Which means [tex]\sqrt{117}[/tex] is the answer or 10.8
Hope this helped!
The city council voted on a new tax. The council has 60 members and 70% of the council members voted in favor of the new tax. How many members voted in favor of the tax?
Answers
6. Solve for y ONLY *
Find the value of each variable.
Answers
The value of the angle y is 86 degrees
How to determine the valueTo determine the value of the variable, we need to take note of the properties of a parallelogram. They include;
Opposite sides of the shape are parallel and equal.The angles opposite to each other are equal.The consecutive angles are supplementary, that is sum to 180 degrees.Also, note that angles on a straight line is equal to 180 degrees.
From the information shown on the diagram, we have;
y + 94 = 180
collect the like terms
y = 180 - 94
Subtract the terms
y =86 degrees
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the sequence is 1,3.5,6,8.5.find the sum of the first terms
Answers
1 + 3.5 + 5 + 6 + 8.5 = 24
Evaluate 5z - 3z for z = 3.
Answers
The value of the expression 5z - 3z, when z is equal to 3, is 6.
What is the value of the expression for z = 3?Given the expression in the question:
5z - 3zAlso, z = 3Evaluating an expression simply means substituting the given value of a variable into the expression and simplifying the result.
Given the expression 5z - 3z, we are given the value of z as 3.
Hence, we substitute z with 3 in the expression:
5z - 3z
Plug in z = 3
5(3) - 3(3)
Simplifying further using the order of operations (multiplication before subtraction), we get:
15 - 9
= 6
Therefore, the value of the expression is 6.
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The number of home runs a baseball player earned each season in his career are listed. 10, 14, 20, 25, 29, 30, 30, 31, 32, 35, 39, 40 Which of the following box plots best represents the data given? A box plot uses a number line from 6 to 45 with tick marks every one unit. The box extends from 20.5 to 38 on the number line. A line in the box is at 32. The lines outside the box end at 11 and 43. The graph is titled Career Home Runs and the line is labeled Number of Home Runs. A box plot uses a number line from 10 to 49 with tick marks every one unit. The box extends from 20.5 to 32 on the number line. A line in the box is at 30. The lines outside the box end at 12 and 46. The graph is titled Career Home Runs and the line is labeled Number of Home Runs. A box plot uses a number line from 7 to 46 with tick marks every one unit. The box extends from 22.5 to 33.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 40. The graph is titled Career Home Runs and the line is labeled Number of Home Runs. A box plot uses a number line from 6 to 45 with tick marks every one unit. The box extends from 23.5 to 36 on the number line. A line in the box is at 30. The lines outside the box end at 9 and 39. The graph is titled Career Home Runs and the line is labeled Number of Home Runs.
Answers
The correct box plot is
A box plot uses a number line from 7 to 46 with tick marks every one unit. The box extends from 22.5 to 33.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 40.
We have the data:
10, 14, 20, 25, 29, 30, 30, 31, 32, 35, 39, 40 .
So, First Quartile(Q1) = ((n + 1)/4)th Term.
= (12+1)/4
= 13/4
= 3.25 th term
= (20+25)/2
= 22.5
and, Second Quartile or median (Q2) = ((n + 1)/2)th Term.
Q₂ = ((12 + 1)/2)th term
= 6.5th term
= 30
and, Third Quartile(Q3) = (3(n + 1)/4)th Term.
Q₃ =3 (3.25)
= 9.75
= 33.5
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Find the volume of a rectangular prism with a length of 5cm and a height of 20cm, round to the nearest tenth of a cubic centimeter
Answers
Volume = length x width x height
Volume = 5cm x 10cm x 20cm
Volume = 1000 cubic centimeters
Rounding to the nearest tenth of a cubic centimeter, we get:
Volume ≈ 1000.0 cubic centimeters
Therefore, the volume of the rectangular prism is approximately 1000.0 cubic centimeters.
Each day, Charmaine earns a fixed wage plus extra money for every hour of overtime she works. The graph shows her total pay (in dollars) versus the amount of overtime (in hours) that she works.
Answers
The total at 0 id 100 hours and rate if increasing is 50 per hour.
From the given graph;
Let x represents the total hours
And y represents total pay
Then,
(a) When x = 0
Then from graph we have y = 100
So total pay is 100 dollars.
(b) When x = 1 then y = 150
Therefore,
Rate of increasing = (150-100)/(1-0) = 50
So it is increasing 50 per hour.
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What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −2/3? A: y+7=2/3(x+1) B: y+7=−2/3(x−1) C: y−7=2/3(x−1) D: y−7=−2/3(x+1)
PLEASEEE help ima trying to get my work out the way
Answers
The equation of the line in point-slope form that passes through (1, -7) and has a slope of -2/3 is y + 7 = -2/3(x-1). Correct option is B.
The point-slope form of a linear equation is given by:
y - y₁ = m(x - x₁)
where m is the slope of the line and (x₁, y₁) is a point on the line.
We are given a point (1, -7) that the line passes through and a slope of -2/3. Therefore, we can substitute these values into the point-slope form equation to obtain:
y - (-7) = (-2/3)(x - 1)
Simplifying this equation, we get:
y + 7 = (-2/3)x + (2/3)
Taking 2/3 common from right sides, we get:
y + 7 = -2/3(x-1)
Therefore, Correct option is B.
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The business checking account for a pottery store had a balance of $7349.44 before checks for $1349.67 and $344.12 were written. The store manager then deposited $956.60. Find the checkbook balance
Answers
The checkbook balance is $5703.25.
To find the checkbook balance, we need to start with the original balance and then subtract the amounts of the checks written and add the amount of the deposit.
Original balance: $7349.44
Checks written: $1349.67 + $344.12 = $1693.79
Deposit: $956.60
To find the checkbook balance, we can subtract the total amount of the checks written from the original balance and then add the deposit:
Checkbook balance = Original balance - Checks written + Deposit
Checkbook balance = $7349.44 - $1693.79 + $956.60
Checkbook balance = $5703.25
Therefore, the checkbook balance after store manager deposited $956.60 is $5703.25.
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The schoolyard at Kenny’s school is a square that is 50 yards long on each side. What is the area of thr schoolyard? A.)2,500yd square B.)2,000yd square
C.) 250 yd square
D.) 200 yd square
Answers
Answer:
A) 2,500 square yards
Step-by-step explanation:
Hope this helps! Pls give brainliest!
HELPPP ASAPPP !!!
2. Point A on the graph below represents Nate's house, and Point B represents Nate's favorite restaurant. B A If each unit on the graph represents 3/4 of a mile, how many miles does Nate live from his favorite restaurant?
Answers
Answer:
10miles I think
Step-by-step explanation:
The required distance between, Nate's house and the restaurant is 7.5 miles.
From the graph,
Consider point C on the graph, which is 6 and 8 units apart from A and B respectively.
The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units
Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles
Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.
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Christina also plans on leaving her $10,000 invested for 20 years. Write an equation representing her investment’s value, y, after x years. What is the value of Christina’s investment after 20 years?
Answers
a) An equation representing Christina's investment's value, y, after x years is y = 10,000(1.05)^x.
b) Using the above equation, Christina's investment will be worth a future value of $26,532.98 after 20 years.
How the future value is determined:Equation Method:The principal = $10,000
Annual compound interest rate = 5%
The investment period = 20 years
Let the value of the investment after x years = y
Let the number of investment periods = x
y = 10,000(1.05)^20
= $26,532.98
Online finance calculator, the future value is determined as follows:
N (# of periods) = 20 years
I/Y (Interest per year) = 5%
PV (Present Value) = $10,000
PMT (Periodic Payment) = $0
Results:
FV = $26,532.98
Total Interest = $16,532.98
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Question Completion:The investment compounds at a 5% interest rate yearly.
Which experimental design will NOT result in a randomized sample?
A.
Selecting every 5th person from the class lists for each section of an algebra course
B.
Assigning a unique number to every medical study applicant and then using a random number generator to assign applicants to three different treatement goups
C.
Using all students from sections 1 and 2 of a statistics course to constitute two samples
D.
Dividing a list of voters into Democrats and Republicans and then selecting every 10th name from each of the two resulting lists
Answers
The experimental design that will not result in a randomized sample is C.Using all students from sections 1 and 2 of a statistics course to constitute two samples
What is Random sampling ?Random sampling can be regarded as the part of the sampling technique whereby each of the sample that is been involved in the population will have an equal probability of being chosen.
It should be noted that in this , the sample is chosen randomly which is unbiased representation , and in the third option, we can see that all the population was using.
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find the area of two rectangles that make a patio
Answers
Answer:
Step-by-step explanation:
picture?
The entire graph of the function g is shown in the figure below. Write the domain and range of g using interval notation.
Answers
Answer:g=g(9)
Step-by-step explanation:
pls help! show work!
Answers
The student is correct because we can factorize x² - x - 56 to get (x - 8)(x + 7).
How to Factorize an Expression?
In order to determine if -56 is the integer that can replace the box in the expression, we can try to factorize the expression and see if it works.
Factorize x² - x - 56 using the sum-product pattern:
x² - x - 56
Take out the common factors from each pair:
(x² + 7x) - (8x - 56)
x(x + 7) -8(x + 7)
Rewrite in factored form:
(x - 8)(x + 7)
Thus, this shows that the student is correct.
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Use transformations of the graph of y=1/x to graph the rational function, and state the domain and range
r(x) = 2x-9/x-4
Answers
Answer:
We can use the transformations of the graph of y=1/x to graph the rational function r(x) = 2x-9/x-4.
First, we will shift the graph of y=1/x to the right by 4 units to get the graph of y=1/(x-4). Next, we will stretch the graph vertically by a factor of 2 to get the graph of y=2/(x-4). Finally, we will shift the graph down by 9 units to get the graph of r(x) = 2x-9/x-4.
The domain of r(x) is all real numbers except x=4, since that would make the denominator zero. The range of r(x) is also all real numbers except y=2, since that would make the numerator zero.
Here is a rough sketch of the graph of r(x), using the transformations:
| ----------
| / \
| / \
| -- --
| | |
-- -- -- -- -- -- -- -- -- -- -
| | |
| | |
| | |
| | |
| | |
| | |
x=4 y=2
Note: This graph is not to scale and is intended to show the general shape of the graph.
Use a graphing calculator or other technology to answer the
question.
Which quadratic regression equation best fits the data set?
ŷ-1229.14x² - 379.14x + 32.86
ŷ 32.86x² - 379.14x + 1229.14
y= 32.86x² - 379.14x
y = 32.86x² + 379.14x1229.14
Answers
The quadratic regression equation that best fits the data-set is given as follows:
y = 32.86x² - 379.14x + 1229.14.
How to obtain the quadratic regression equation?To find the quadratic regression equation, we need to insert the points (x,y) into a quadratic regression calculator.
Considering the table in this problem, the points on the data-set are given as follows:
(3, 330), (4, 276), (5, 263), (6, 86), (7, 174), (8, 198), (9, 553).
Inserting these points into a calculator, the quadratic regression equation is given as follows:
y = 32.86x² - 379.14x + 1229.14.
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Luc is playing a trivia game with multiple choice questions. He runs out of time and needs to guess on the last 2 22 questions. Each question has 4 4
Answers
The requried probability that Luc gets both questions correct is 1/16 or approximately 0.0625.
The probability of guessing a single question correctly is 1/4, since there are 4 answer choices and only 1 is correct. Since the questions are independent, the probability of guessing both questions correctly is the product of the probability of guessing each question correctly.
Therefore, the probability that Luc gets both questions correct is:
P(both correct) = P(first correct) * P(second correct)
P(both correct) = (1/4) * (1/4)
P(both correct) = 1/16
Thus, the probability that Luc gets both questions correct is 1/16 or approximately 0.0625.
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