The length of a rectangle is four times the width. The
perimeter of the rectangle is 40 inches. What is the area of
the rectangle (in square inches)?

Answers

Answer 1

Answer:

Step-by-step explanation:

let the width=x

length=4x

P=2(l+w)=2(4x+x)=10x

10x=40

x=40/10=4

width=4 in

length=4×4=16 in

area=16×4=64 square inches.

Answer 2

The required area of the given rectangle is given as 64 inch².

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
As mentioned in the question,
The length of a rectangle is four times the width.
l = 4w

Now,
The perimeter of the rectangle is 40 inches.
2 [l + w] = 40
2 [4w + w] = 40
5w = 20
w = 4 inches

Length,
l = 4(4) = 16 inches

Area of rectangle = l × w
                          = 16 × 4 = 64 inch²

Thus, the required area of the given rectangle is given as 64 inch².

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Related Questions

What is -9-x when x= 4.3

Answers

Answer:

-9-x=13.3

Step-by-step explanation:

x=4.3

-9-x=

-9-4.3=-13.3

will give brainiest to the first person who answers correctly!!!!

Answers

Answer:

Option B

Step-by-step explanation:

Its the same because its basically just like stacking the same shape over and over to make a prism

Answer:

answer is B your welcome:)

Step-by-step explanation:

Find the slope of the line through (-9,-10) and (-2,-5).
A. -5/7
B. 7/5
C. 5/7
D.-7/5
Just need help with this thank you.​

Answers

Hope this will help u...:)

Look at the attached picture...!!

Some of the students at Kahlo Middle School like to ride their bikes to and from school. They always ride unless it rains. Let d be the distance in miles from a student's home to the school. Write two different expressions that represent how far a student travels by bike in a four week period if there is one rainy day each week.

Answers

Answer:

32d

Step-by-step explanation:

-The students ride their bikes to and from school every day. The distance is thus;

[tex]d_t=2d[/tex]

-Taking that there are 5 school days per week and that it rains in one per week. the total number of days is:

[tex]Days=Days \ per \ week \times \ number \ of \ weeks\\\\=(5-1)\times 4\\\\=16\ days[/tex]

Now, we multiply the distance per day by the total number of days:

[tex]Distance, D=2d\times 16\\\\=32d[/tex]

Hence, the total distance in a 4-week period is expressed as 32d ( where d is the distance from home to school).

Use Appropriate Tools
1) A group of students were
on a school bus. At the last
stop, the bus picked up 16
more students. The bus
arrived at school with a
total of 25 students. How
many students were on the
bus before the last stop?
Solve this problem any way
you choose.​

Answers

Answer:

9

Step-by-step explanation:

just subtract 16 from 25

The answer for this problem is 9

The stem-and-lear plot lists the scores earned
by students on a science test.
Stem | Leaf
40
How many students earned a core of 85 or
greater?
5 57
610
7 00 78
Enter your answer in the box.
8 2 2 2 556
9111455
40
Key: 410 means 40.

Answers

Answer: I'm sure it is 33

what is 25x10^9 in standard form

Answers

[tex]25*10^9=25*100000000=2500000000[/tex]

Solve the equation
[tex] {x}^{2} = 196[/tex]
Show your work and explain your steps.​

Answers

x = 14

because you have to a square 196

Simplify the expression Square root of 63

Answers

Answer:

[tex]3\sqrt{7}[/tex]

Step-by-step explanation:

Step 1:  Simplify

[tex]\sqrt{63}[/tex]

[tex]\sqrt{3^2 * 7}[/tex]

[tex]3\sqrt{7}[/tex]

Answer:  [tex]3\sqrt{7}[/tex]

Answer:

7.94 0r 3 square root of 7

Step-by-step explanation:

The square root of 63 is 7.9372539331937717715048472609178. If you round it to two places it is 7.94. In radical form it is 3 square root of 7.

76.98 divided by 45.2

Answers

Answer:

1.7030973451327434

Step-by-step explanation:

Answer:1.7039735

Step-by-step explanation:

Consider the graph that represents the following quadratic equation.
y=-1/3(x+2)^2+5
--the graph opens:
-downward
-upward
--the vertex of the graph is:
-(2,5)
-(-2,-5)
-(-2,5)
--the axis of symmetry of the graph is:
-x=2
-x=-2

Answers

Answer:

Part 1) The graphs open downward

Part 2) The vertex is the point (-2,5)

Part 3) The axis of symmetry is x=-2

Step-by-step explanation:

step 1

we have

[tex]y=-\frac{1}{3}(x+2)^2+5[/tex]

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex is a maximum

step 2

The quadratic equation is written in vertex form

[tex]y=a(x-h)^2+k[/tex]

where

(h,k) is the vertex

so

In this problem

The vertex is the point (-2,5)

step 3

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

The x-coordinate of the vertex is -2

therefore

The axis of symmetry is x=-2

From the equation, find the axis of symmetry of the parabola.
y = 3x2 - 12x+11

a. x = -2
b. x = 2
c. x = 1
d. x = -1

Answers

Answer:

B. x=2

Step-by-step explanation:

The formula to find the axis of symmetry is -b/2a.

So, in this case, we find our b and a, which are 3 and -12.

Plug them into the formula.

-(-12)/2(3)

The negative sign times another negative makes it into a positive, now we have a positive 12 and then 2 multiplied by 3 equals 6.

Our new equation is 12/6.

Then, simply solve it, 12 divided by 6 equals 2.

Therefore, B would be your answer, x=2.

Final answer:

The axis of symmetry of the parabola defined by the equation y = 3x^2 - 12x + 11 is x = 2.

Explanation:

To find the axis of symmetry of the parabola defined by the equation y = 3x2 - 12x + 11,

we can use the formula for the axis of symmetry for a parabola in standard form which is x = -b/2a.

In this equation, a is the coefficient of x2, which is 3, and b is the coefficient of x, which is -12.

Plugging the values into the formula, we get x = -(-12)/(2*3) = 12/6 = 2.

Therefore, the axis of symmetry of the given parabola is x = 2.

Find a number that is not a solution to 3x-1>8 or 7-x>3

Answers

Answer:

All of the numbers are solutions.

Step-by-step explanation:

Step 1:  Solve for x in the first equation

[tex]3x - 1 + 1 > 8 + 1[/tex]

[tex]3x / 3 > 9 / 3[/tex]

[tex]x > 3[/tex]

Step 2:  Solve for x in the second equation

[tex]7 - x - 7 > 3 - 7[/tex]

[tex]-x / -1 > -4 / -1[/tex]

Since you divided by a negative, you must flip the sign.

[tex]x < 4[/tex]

Step 3:  Find the number

x > 3 and x < 4

Answer: All of the numbers are solutions.

Find the area of a regular hexagon with an apothem of 15cm

Answers

Final answer:

The area of a regular hexagon with an apothem of 15 cm is approximately 1166.55 cm².

Explanation:

The area of a regular hexagon can be found by using the formula:

Area = (3 x apothem x side length) / 2

In this case, the apothem is given as 15 cm. We need to find the side length to calculate the area. The side length can be found using the formula:

side length = 2 x apothem / tan(180° / 6)

Using a calculator, we can find that the side length is approximately 25.98 cm. Plugging in the values into the area formula, we get:

Area = (3 x 15 cm x 25.98 cm) / 2 = 1166.55 cm²

Mr abbot mowed1/4 of his lawn .his son mowed 3/7 of it who mowed most of the lawn how much of the lawn still needs to be mowed

Answers

Mr. Abbot mowed 1/4 of his lawn.
His son mowed 3/7 of the lawn.
The first thing to do is get a common denominator, in this case a good one to use is 28. it has to be a number divisible by 4 and 7.
1/4=7/28
3/7=12/28
so now we can see that the son mowed more. now add these two numbers together to get how much they mowed in total
(7+12)/28=19/28 of the lawn is mowed.
that means 9/28 of the lawn still has to be mowed.
Final answer:

Mr Abbot's son mowed more of the lawn. In total, they mowed 19/28 or approximately 68% of the lawn. Hence, approximately 32% or 9/28 of the lawn still has to be mowed.

Explanation:

To find out who mowed more lawn and how much of the lawn is still left to be mowed, we need to compare the fractions and then add them together.

Mr. Abbot mowed 1/4 of his lawn and his son mowed 3/7 of it. To compare these fractions, you can turn them into decimals or percent by dividing the numerator (the top number) by the denominator (the bottom number). Doing that, we find Mr. Abbot mowed 0.25 (or 25%) of the lawn and his son mowed approximately 0.43 (or 43%) of the lawn. Therefore, the son has mowed more lawn.

To figure out how much lawn is still left to be mowed, we add up the fractions of the lawn that Mr. Abbot and his son mowed: [tex]1/4 + 3/7 = 7/28 + 12/28 = 19/28[/tex]. Thus, 19/28 of the lawn have been mowed, and to figure out what fraction is left, we subtract this number from 1 since 1 represents the whole or 100% of the lawn: [tex]1 - 19/28 = 9/28[/tex]. So, 9/28 of the lawn still needs to be mowed.

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NEED HELP ASAP A survey was conducted with high school students in
each grade to see how many prefer math or science.
Some of the data are shown below.
Which statement is true about the joint frequencies in
this table?
40
11 | 12 |
Total
O Twenty-three 9th graders and fifteen 11th graders
prefer math.
O Fourteen 11th graders prefer math and eight 10th
graders prefer science.
O Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.
Math
18
90
Science 40
15
95
Total
63
26
29
67
185​

Answers

Question:

a. Twenty-three ninth graders and fifteen eleventh graders prefer math.

b. Fourteen eleventh graders prefer math and eight tenth graders prefer English.

c. Thirty-five twelfth graders prefer math and nine tenth graders prefer English.

d. Twenty-three ninth graders and thirty-five twelfth graders prefer math.

e. Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.

Answer:

Therefore, the correct options are;

b. and d.

Step-by-step explanation:

Here we have a table with blank boxes and totals from which we can fill the boxes;

For the 12th graders, we have a total of 67 pupils with 32 preferring English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils

Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils

Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils

Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils

From the above, the correct option is

Answer:

b only

Step-by-step explanation:

PLZZ ANSWER THIS AS SOON AS POSSIBLE!!!!

Answers

Answer:

y = -9.3

if they are complementary it is 45 degrees

if they are supplementary it is 90 degrees

Step-by-step explanation:

-12.7 = y -3.4

-12.7 + 3.4 = y -3.4 + 3.4

-9.3 = y

complementary angles equal to 90 degrees

supplementary angles equal to 180 degrees

vertical angles have same degrees

so 90/2= 45

180/2 =90

maybe -16.1

and how are you sending the photo

I need to find the line of the slope that passes through the points (-2,3) and (-14,-5) answer in simplest form

Answers

Hope this will help u....:)

The function f(x) = 2* is translated left 3 units and down 2 units. Which is the equation of the translated function?
g(x) = 2x-3-2
g(x) = 2x -2-3
g(x) = 2x - 2 + 3
g(x) = 2x + 3-2

Answers

Answer:

  g(x) = 2^(x+3) -2

Step-by-step explanation:

To translate a function f(x) right h units and up k units, it becomes ...

  g(x) = f(x -h) +k

Here, your translation is (h, k) = (-3, -2), so the function becomes ...

  g(x) = f(x +3) -2

  g(x) = 2^(x+3) -2 . . . . matches the last choice

Answer:

D.

Step-by-step explanation:

PLEASE ANSWER QUICK! A police officer is estimating the distance from one side of a street to the other. The actual distance is 13.8. The police officer's estimate is 14. Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth

Answers

Answer:

The absolute error is 0.2

The percent error is 1.45

Step-by-step explanation:

Please kindly check the attached for explanation

Final answer:

The absolute error of the police officer's estimate is 0.2, and the percent error is approximately 1.5%

Explanation:

In Mathematics, absolute error is determined by the absolute value of the difference between the estimated value and the actual value. Therefore, the absolute error in this case is |14 - 13.8| = 0.2.

Percent error, on the other hand, is calculated by first finding the absolute error, then dividing the absolute error by the actual measurement, and finally multiplying the result by 100% to turn it into a percentage. So in this case, the percent error is given by (0.2 / 13.8) * 100 = 1.45%. Since we should round it off to the nearest tenths, the percent error will be roughly 1.5%.

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y varies directly with x. If x=6 when y=30, determine y when x=8.

Answers

Answer:

Y=40

Explanation:

Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8  y must equal 40.

6:30 = 8:40

or

30/6= 5

Y/8= 5

Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.

Answer:40

Step-by-step explanation:

6 times 5 is 30

so 8 times 5 = 40

Given that there are four Cups in a quart and 4 quarts in a gallon which quantity below is equal to 16 quarts?

16 gallons

16 cups

64 cups

126 cups

Answers

Answer:

64 cups

Step-by-step explanation:

16 quarts ; 1 quart = 4 cups ; 16*4=64

Answer:

1 quart = 4 cups

Therefore 16 quarts = 16 * 4 cups or

64 cups.

Step-by-step explanation:

−3x−4y=4
−5x+y=2

Is (2,10)left parenthesis, 2, comma, 10, right parenthesis a solution of the system?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Final answer:

Substituting the solution (2,10) into both equations of the system shows that it does not satisfy either equation, hence it is not a valid solution.(Choice B.No)

Explanation:

To verify the solution of the system of equations, we can substitute the ordered pair (2,10) into both equations. Let's do this:

In the first equation, -3x - 4y = 4, we substitute x = 2 and y = 10. This gives us -3*2 - 4*10 = -6 - 40 = -46, which is not equal to 4.In the second equation, -5x + y = 2, we substitute x = 2 and y = 10. This gives us -5*2 + 10 = -10 + 10 = 0, which is not equal to 2.

Since the ordered pair (2,10) does not satisfy either of the two given equations, we can say that (2,10) is not a solution of the system of the equations.

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The point (2,10) is not a solution to the system of equations -3x - 4y = 4 and -5x + y = 2, as it does not satisfy either equation when substituted.

To determine if the point (2,10) is a solution of the given system of equations:

-3x - 4y = 4

-5x + y = 2
we need to substitute x=2 and y=10 into each equation to see if the left-hand side equals the right-hand side.



For the first equation:

-3(2) - 4(10) = -6 - 40 = -46
which does not equal 4, therefore the point (2,10) is not a solution to this equation.

For the second equation:

-5(2) + (10) = -10 + 10 = 0
which does not equal 2, so (2,10) is also not a solution to the second equation.

Since (2,10) does not satisfy either equation, we can conclude that:

(Choice B)
No, (2,10) is not a solution to the system of equations.

In a class of 18 children, 13 have pet dogs at home, 11 have pet cats, and 8 have both. How many kids do not have four-legged pets at home?

Answers

Answer:

2 people

Step-by-step explanation:

8 have both that means that of the 11 people that have cats 3 have only cats and of the 13 that have dogs 5 only have dogs therefore 2 people don't have four-legged animals at home

Answer:

2

Step-by-step explanation:

it starts out with 18 students, 24 pets in total. -16 for the dogs and cats, to lead up to 8, and 10 students left after subtracting 8 for how many students don't have a pet at home. So 2 students shouldn't have four legged pets left after subtracting the rest.  (this is my answer, it's probably wrong, i think you should wait for more,)

17. a) Ula jest dwa razy młodsza od Oli i o 4 lata starsza od Ali. Razem te trzy

dziewczynki mają 24 lata. Ile lat ma każda z nich?

b) Tata Zosi jest od niej 3 razy starszy, a Zosia jest od niego młodsza o 30 lat.

Ile lat ma Zosia?

c) Julek i Asia są w sumie o 6 lat starsi od Michała, ale każde z nich z osobna

jest od niego młodsze: Julek o 7 lat, Asia o 2 lata. Ile lat mają wszyscy razem?

Daje Naj za odpowiedź daną za godzinę maks

Answers

Answer:

Part 17)

Ula's age is 7 years

Ola's age is 14 years

Ali's age is 3 years

Part 18) Zosia's age is 15 years

Part 19) All together are 36 years old

Step-by-step explanation:

The question in English is

17. Ula is twice as young as Ola and four years older than Ali. Together these three girls are 24 years old. How old is each of them?

18. Zosia's father is 3 times older than her and Zosia is 30 years younger than him.

How old is Zosia?

19. Julek and Asia are 6 years older than Michael, but each of them separately is younger than him: Julek by 7 years, Asia by 2 years. How old are they all together?

Part 17)

Let

x ----> Ula's age

y ---> Ola's age

z ---> Ali's age

we know that

Ula is twice as young as Ola

[tex]y=2x[/tex] ----> equation A

Ula is four years older than Ali

[tex]x=z+4[/tex]

[tex]z=x-4[/tex]----> equation B

Together these three girls are 24 years old.

so

[tex]x+y+z=24[/tex] -----> equation C

substitute equation A and equation B in equation C

[tex]x+2x+(x-4)=24[/tex]

solve for x

[tex]4x=24+4\\4x=28\\x=7[/tex]

Find the value of y

[tex]y=2(7)=14[/tex]

Find the value of z

[tex]z=7-4=3[/tex]

therefore

Ula's age is 7 years

Ola's age is 14 years

Ali's age is 3 years

Part 18)

Let

x ----> Zosia's father's age

y ----> Zosia's age

we know that

Zosia's father is 3 times older than Zosia.

so

[tex]x=3y[/tex]  ----> equation A

Zosia is 30 years younger than him.

so

[tex]y=x-30[/tex] ----> equation B

substitute equation A in equation B

[tex]y=3y-30[/tex]

solve for y

[tex]3y-y=30\\2y=30\\y=15[/tex]

therefore

Zosia's age is 15 years

Part 19)

Let

x ----> Julek's age

y ----> Asia's age

z ----> Michael's age

we know that

Julek and Asia are 6 years older than Michael

so

[tex]x+y=z+6[/tex] ----> equation A

Julek is 7 years  younger than Michael

[tex]x=z-7[/tex] ----> equation B

Asia is 2 years  younger than Michael

so

[tex]y=z-2[/tex] -----> equation C

substitute equation B and equation C in equation A

[tex](z-7)+(z-2)=z+6[/tex]

solve for z

[tex]2z-z=6+9\\z=15[/tex]

Find the value of x

[tex]x=15-7=8[/tex]

Find the value of y

[tex]y=15-2=13[/tex]

Adds the ages

[tex]x+y+z=8+13+15=36\ years[/tex]

therefore

All together are 36 years old

An aeroplane is flying horizontally, directly towards the city of Melbourne at an altitude of 400 metres. At a given time the pilot views the city lights of Melbourne at an angle of depression of 1.5°. Two minutes later the angle of depression of the city lights is 5°. Find the speed of the aeroplane in km/h, correct to one decimal place.
Please include a diagram

Answers

A diagram and review of the basic trig functions will show that the distance d flown by the plane between observations is

d = 400 cot 1.5° - 400 cot 5° = 10700m = 10.7km

10.7km/2min * 60min/hr = 321 km/hr

Hope this helps

los numeros primos menores que 15​

Answers

Answer:

2, 3, 5, 7, 11, 13,

Answer: 1, 3, 5, 11, 9, 7, 13

Step-by-step explanation:

Odd numbers can't be divided by two.

Even numbers can be.  

An large pizza has a diameter of 14 inches and is cut into 6 equal pieces . Find the area of 2 pieces , rounded to the nearest hundredth

Answers

Answer

51.312in^2

hope this helps...

Please help free Brainliest to correct answer!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

[tex]\frac{5}{6}[/tex]÷[tex]\frac{1}{5}[/tex]

Keep, change, flip.

So, [tex]\frac{5}{6}[/tex] stays the same.

The division sign changes to multiplication.

[tex]\frac{1}{5}[/tex] changes to 5.

So now you have

[tex]\frac{5}{6}[/tex]×[tex]\frac{5}{1}[/tex]= [tex]\frac{25}{6}[/tex]

6·4=24

25-24=1

D= [tex]4\frac{1}{6}[/tex]

Answer:

The correct answer is D. Brainliest plz. I am trying to level up and only have 2 out of the 5 needed. Thanks! Have a good day

Joan has a cafe. Each day, she bakes 24 muffins. She gives away 3 and sells the rest. Each day, she also bakes 36 bagels. she gives away 4 and sells the rest. Write an expression to represent the total number of muffins and bagels Joan sells in 5 days. Then evaluate the expression to find the total amount of muffins and bagels Joan sells in 5 days.

Answers

Answer:

(24+36)×5 First you do whatever is in the parentheses first which would be 60. Next you would multiply it by 5 which is 5 days. It is 500. Joan sells 500 muffins and bagels in a day.

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All below are ways the Miss America pageant oppresses women, according to the protesters of the 1968 pageant, except thatO a. the pageant promotes the idea that the ultimate goal of a young woman should be male approval.Ob the pageant that holds itself up as proudly American, only celebrates white American women.O c. the Miss America pageant promotes an unrealistic standard of female beauty.Od women who compete in and admire the Miss America pageants are expected to be independent-minded. Angela wants to celebrate her birthday by eating pizza with her friends. She wants to buyone box of pepperoni pizza for $9.50 and c boxes of cheese pizza for $8.50 each. Write anexpression, in dollars, that represents the amount Angela will spend on pizzas for herbirthday celebration. If Wild Widgets, Inc., were an all-equity company, it would have a beta of 1.05. The company has a target debt-equity ratio of .55. The expected return on the market portfolio is 10 percent and Treasury bills currently yield 3.2 percent. The company has one bond issue outstanding that matures in 30 years, a par value of $1,000, and a coupon rate of 6.1 percent. The bond currently sells for $1,055. The corporate tax rate is 24 percent.What is the companys weighted average cost of capital? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Which is the asymptote of the graph? y=0, y=1, y=2, y=3 Which equation results from adding the equations in this system?Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18.5 x = negative 105 x = 26Negative 5 x = 26Negative 5 x = negative 10 If the dimensions of a solid proportionally increase by a scale factor of 5, by what factor does the surface areaincrease?5/25/425/225/4 Please read the instructions and help me with choosing these , Ive already picked answers but not confident that theyre correct.. please only serious questions only ... The roof of the house down the road is in the shape of a square pyramid. The length from the gutter to the top is .and the length of gutter on one side is .with no overlap. One bundle of shingles covers square feet. How many bundles should you buy to cover What are some dietary factors that affect iron absorption? Develop a list of privacy protection features that should be present if a website is serious about protecting privacy. Then, visit at least four well-known websites and examine their privacy policies. Write a report that rates each of the websites on the criteria you have developed. the text feature can best be described as a diagram a map an illustration a photograph How can one variable equations have more than one solution in some cases and no solutions in others? factor the expression 3x^2 - 6x The height of a cylinder is 12 inches and the radius is 3.5 inches. What is the approximate volume of the cylinder? CB is tangent to A at point C. Find the radius.Circle A is shown. Line segment A C is a radii. Line segment B C is a tangent and it intersects with the circle at point C. A line is drawn from point B to point A and a point is drawn where the line intersects with the circle. The length of the radius is r, the length of C B is 8, and the length of B to the circle is 5.CB AC by the radius-tangent theorem, so C is a right angle.ABC is a right triangle, so apply the Pythagorean theorem.Use the steps and solve for the radius.r2 + 82 = (r + 5)2r2 + 64 = r2 + 10r + 25 An 80-room motel forecasts its average room rate to be $68.00 for next year at 75% occupancy. The rooms department has a fixed wage cost of $186,000. Variable wage cost for housekeeping is $9.00 an hour; it takes one-half hour to clean a room. Fringe benefits are 18% of total wages. Linen, laundry, supplies, and other direct costs are $2.75 per occupied room per day. The motel also has a 50-seat, limited-menu snack bar. Breakfast revenue is derived solely from customers staying overnight in the motel. On average, 40% of occupied rooms are occupied by two persons and, on average, 80% of overnight guests will eat breakfast. Average breakfast check is $6.50. Lunch seat turnover is 1.5, with an average check of $8.95. The average dinner check is $10.95 and there are 2.0 seat turns for dinner. The snack bar is open 365 days a year for all three meals. Direct costs for the snack bar are 78% of total snack bar revenue. Indirect costs for the motel are estimated at $580,800 for next year. a. Calculate the budgeted contributory income statement for each department and a consolidated total motel departmental income statement to determine operating income. b. Assume that at the end of next year, actual revenue was on 21,700 rooms occupied at an average rate of $68.40; actual housekeeping wages (before employee fringe benefits) were $108,208. Analyze room revenue for price and sales volume variances and housekeeping wages for cost, quantity, and sales volume variances; assume it took 32 minutes to clean each room actually occupied (sold). How can the total fertility rate change? Johnny is trying to figure out how many miles he rode on his bike today.He knows his bike uses wheels that are 30" tall, and it takes him 1 secondfor it to make one complete revolution. If he rode for 1 hour and 11minutes, how many miles did he ride? Use 3.14 for pi and round youranswer to the nearest mile.(Please note that 60 seconds = 1 minute, 60minutes = 1 hour, 12" = 1 ft, and 5,280 ft = 1 mile). PLEASE HELP ! After a recent experiment, a meteorologist noticed that the computer simulation varied from the actual experiment. What should the meteorologist do?a: Repeat the experiment several times in order to verify the resultsb: Adjust the computer's program so it matches the actual results.c: Ignore the actual results as inaccurate because computers are very precised: Ignore the simulation as inaccurate because of a possible computer virus Read this excerpt from Vachel Lindsay's "In Praise of Johnny Appleseed." Washington buried in Virginia, Jackson buried in Tennessee, Young Lincoln, brooding in Illinois, And Johnny Appleseed, priestly and free. What is the purpose of the allusions used in this excerpt?