The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS

The Diagram Shows Two Squares Constructed On The Sides Of A Rectangle. Write An Expression For The Area

Answers

Answer 1

Step-by-step explanation:

Since area of Square A = 7 ft²,

Side length of Square A = √7 ft.

Length of Rectangle B = √7 ft

Width of Rectangle B = 4/√7 ft

Hence Area of Square C

= (4)² / (√7)² ft² = 16/7 ft².

Answer 2

The area of Square C is the square of the height of the Rectangle B.

Correct responses:

[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex]

[tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]

Methods used for finding the area of Square C

The given area of square A = 7 ft.²

The given area of rectangle, B = 4 ft.²

Let s represent the side length of square C and let S represent the side length of square A, we have;

Area of rectangle B = S × s = S·s

Area of square A = S × S = S²

Area of square C = s × s = s²

[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]

Therefore, the expression for the area of Square C in terms of the area

of Square A and Rectangle B is presented as follows;

[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]

Which gives;

[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]

By simplification, we have;

[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]

[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]

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Related Questions

the Pythagorean theorem


please help answer all the questions

Answers

Answer:

Step-by-step explanation:

A.)

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]16^{2} +20^{2}= c^{2}[/tex]

256 + 400 = [tex]c^{2}[/tex]

656 = [tex]c^{2}[/tex]

25.6 = c

__________________________________________________________

B.)

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]25^{2}+ 10^{2} = c^{2}[/tex]

625 + 100 = [tex]c^{2}[/tex]

725 = [tex]c^{2}[/tex]

26.9 = c

__________________________________________________________

C.)

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]12^{2} +10^{2}= c^{2}[/tex]

144 + 100 = [tex]c^{2}[/tex]

244 = [tex]c^{2}[/tex]

15.6 = c

__________________________________________________________

D.)

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]26^{2}+ 24^{2} =c^{2}[/tex]

676 + 576 =  [tex]c^{2}[/tex]

1,252 =  [tex]c^{2}[/tex]

35.4

__________________________________________________________

Sry it takes a lot of time to put in these equations and all that

Hope it helped!

Peter wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Peter estimate the 15% tip on a $48.00 bill correctly?
A. $4.80 + $2.40 = $7.20
B. $4.80 + $4.80 = $9.60
C. $4.80 + $0.48 = $5.28
D. $2.40 + $2.40 = $4.80​

Answers

Answer:

A. $4.80 + $2.40 = $7.20

Step-by-step explanation:

10% is the same as 10/100 or 1/10. To find 10% of a number, move the decimal point one place to the left.

10% of $48 is $4.80

Now he needs 5% of $48 which is half of 10% of $48, so 5% of $48 is $2.40.

$4.80 + $2.40 = $7.20

Answer: A. $4.80 + $2.40 = $7.20

Select the interval where h is positive.
Pleaseee HELP

Answers

b

Step-by-step explanation:

Answer:

2<x<3

Step-by-step explanation:

I did it on khan

HELP ME PLZZ will give 30 points
Stock F had a price change of –4 dollars and Stock G had a price change of +1 dollars.

Brody said Stock G had a greater price change because a positive integer is greater than a negative integer. Is his statement correct? Explain why or why not.

Answers

sample response

No his statement is not correct. Brody confused value and magnitude. [-4]= 4 and -[+1] = 1. The magnitude of -4 is grater than the magnitude of +1. Stock F had a greater price change.

is 944544 divisible by 10

Answers

Yes and it’s 94454.4

how many 3/8 are in 5 1/4

Answers

Answer: 14

Step-by-step explanation:

Simplify the following:

a. (x5)(x8) =

b. k9/k2 =

c. (w6)3 =

d. (53)(54) =

Answers

Answer:

a. (x⁵)(x⁸)

[tex] {x}^{5 + 8} [/tex]

[tex] {x}^{13} [/tex]

b. k9/k2

[tex]k {}^{9 - 2} [/tex]

[tex] {k}^{7} [/tex]

c. (w⁶)³

[tex] {w}^{6 \times 3} [/tex]

[tex] {w}^{18} [/tex]

d. (53)(54)

[tex]53 \times 54 = 2862[/tex]

Lisa solved the equation x + 6 = 8 + 7x and claimed that the solution is X=-6. Is she
correct? Explain.

Answers

Answer:

she is wrong x would be -1/3

Step-by-step explanation:

-6x - 2 = 0

x = -2/6 which is equal to -1/3

Does anyone know the answer to this¿?¿

Answers

the answe is y=25 and theres 5$

Which statement is correct?
1. The range of the graph is all real numbers less than
or equal to 0.
2. The domain of the graph is all real numbers less
than or equal to 0.
3. The domain and range of the graph are the same.
4. The range of the graph is all real numbers.

Answers

I’m not sure but it’s 2

2x/3- y +7; x = 9, y=4

Answers

Answer:

-5

Step-by-step explanation:

2×9/3 - (4+7)

18/3 -11

18/3 - 33/3

-15/3

-5

Answer:

9

Step-by-step explanation:

2x/3- y +7; x = 9, y=4

plug in the numbers

2(9)/3-(4)+7

simplify 2(9)/3

2 • 9=18

18/3=6

6-4+7

6-4= 2

2+7=9

Which questions result in data that is categorical? Check all that apply.

Is your job as an IT administrator stressful?
What is your biggest source of stress?
How has your job impacted your personal life?
In the past week, how many hours of overtime did you work?
Have you ever considered switching careers because of on-the-job stress?

Answers

Answer:

The answer is 1,2,3, and 5

Step-by-step explanation:

The person above me answered it correctly, I basically just copied and pasted it onto here :)

Options A and E are categorical.

Is your job as an IT administrator stressful?

Have you ever considered switching careers because of on-the-job stress?

Given,

- Is your job as an IT administrator stressful?

- What is your biggest source of stress?

- How has your job impacted your personal life?

- In the past week, how many hours of overtime did you work?

- Have you ever considered switching careers because of on-the-job stress?

We need to find which options are categorical.

What are categorical data?

The data that can be divided into groups are called categorical data.

Example:

People who know how to drive and who don't know how to drive.

We can have two groups here.

Yes and No.

Find which of the following are categorical.

- Is your job as an IT administrator stressful?

We can have two groups:

Yes and No.

It is categorical data.

- What is your biggest source of stress?

We can have different answers which can not be categorized into groups.

It is not categorical data.

- How has your job impacted your personal life?

Everyone will have different answers so it is not categorical data.

- In the past week, how many hours of overtime did you work?

Everyone will have a different answer so we can not make groups.

It is not categorical data.

- Have you ever considered switching careers because of on-the-job stress?

We can have answers as yes and no so we can make two groups

It is categorical data.

Thus Options A and E are categorical.

Is your job as an IT administrator stressful?

Have you ever considered switching careers because of on-the-job stress?

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A puzzle box has a height of 27 centimeters. It has a base with an area of 220 square centimeters. What is the volume, in cubic centimeters, of the puzzle box?

Answers

Answer:

5940 cm^3

Step-by-step explanation:

Step one:

given data

Height = 27 cm^3

Area= 220 cm^2

Required

the volume of the box

Step two:

the expression for volume is

V= Area* height

v= 220*27

V= 5940 cm^3

how many more pounds do u need to make 5 pounds if u already have 3.85 pounds​

Answers

Answer:

1.15 pounds

Step-by-step explanation:

5 - 3.85 = 1.15

Answer:

1.15

Step-by-step explanation:

5.00

-3.85

---------

1.15

Hope this helps!

HELP WILL GIVE BRIANLIEST
Which of the following best demonstrates the Distributive Property?


3 ( 2+ 4) = 4 ( 3+2)

4 ( 5 + 2) = 10 + 2

4 (5 + 6) = 4 * 11

3 + 6 + 2 = 2 + 3 + 6

Answers

Answer:

The 2nd equation

qwesdddddddfffffffggggggggggggggggggggggggggggggggggggggg

Answers

Answer:

Step-by-step explanation:

kjiuhytresdzxiu8y765re4rsdxfbhgytfyrdeswaszxdfcg

can i be brainliest plz!!! i need one more brainliest so i can go to the next level

Plz help lol
(12221×222) ×+212%234\/()231331783)2343#23=22+×233)1(23€£÷÷) =​

Answers

Answer:

(c) 24 (d) 2 -4 (e) 22 2 1.25 0

Step-by-step explanation:

Problem 1.1 (10 Points) Let 21 2j, and 23 j. Find the value of each of the following 3 4j, 22 expressions and give your answers in rectangular form z t jy. (a) 132122 (b) 321 421 (c) (21)3 (Note that superscript denotes conjugation.) 222 21 (d) 22 (e) 2223 Problem 1.2 (10 Points) (a) Find real numbers r and y such that 5z -3y j(5y z) 4. (b) Show that any complex number z can also be expressed as z e 2"* k 0, 1,2, 3. Problem 1.3 (10 Points) Express each of the following complex numbers in polar form. a) 2 2V3 (c) 1 j j2 7 4j (d) 3-2j (e) Problem 1.4 (10 Points) Use the results from Problem 1.2 (b) above to find all roots of the following complex numbers and plot your results in the complex plane. (a) 1 (Hint: there are 5 different answers and one is 2 (b) 23 (1 -j) (Hint: there are 3 different answers. (c) 24 (d) 2 -4 (e) 22 2 1.25 0

6 times 7 is 42 6 times 5 is 30 if that's any help please help me out.

Answers

6 * 5 = 30

42 - 30 = 12

? * 2 = 12

? = 6

Consider the expressions (3m+2n−6) and (−4−6m+7n). What is the sum of the expressions for n = -2 and m = 5?

Answers

Answer:

The answer would be 28 becasue if you divide th right number by the m substitue that for the number 97

The sum of the expressions for n = -2 and m = 5 is -43

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expressions (3m + 2n − 6) and (− 4 − 6m + 7n).

We can write the sum of the expression as -

(3m + 2n − 6) + (− 4 − 6m + 7n)

3m + 2n - 6 - 4 - 6m + 7n

3m - 6m + 2n + 7n - 6 - 4

- 3m + 9n - 10

At n = - 2 and m = 5, we get -

(- 3 x 5 + 9 x -2 - 10)

- 15 - 18 - 10

- 43

Therefore, the sum of the expressions for n = -2 and m = 5 is -43.

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estimate the sum of 945 + 537 + 617 by rounding each number to the nearest hundred ​

Answers

Answer:

Around 2080

Step-by-step explanation:

Answer is: 2000

Step-by-step explanation:

945 rounds to 900

537 rounds to 500

617 rounds to 600

Add them up to get 2000

Please help it’s so important

Answers

Given:

In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].

[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

To prove:

[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Proof:

In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.

In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],

Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex]       [Given]

Leg : [tex]\overline{CD}=\overline{CD}[/tex]       [Common]

If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.

[tex]\Delta ACD\cong \Delta BCD[/tex]        [HL postulate]

[tex]\overline{AD}\cong \overline{BD}[/tex]       [CPCTC]

[tex]\overline{AD}=\overline{BD}[/tex]

It means, point D is the midpoint of [tex]\overline{AB}[/tex].

So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Hence proved.

A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 10 insects will die

Answers

Answer:

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

Step-by-step explanation:

Step(i):-

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion  p = 0.60

                           q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

Step(ii):-

Let "X' be the random variable of binomial distribution

                              [tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]

The probability that exactly 10 insects will die

                              [tex]P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}[/tex]

                           

                          [tex]n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66[/tex]

                          [tex]P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385[/tex]

Final answer:-

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.


Income range 5-15 15-25 25-35 35-45 45-55 55 or more
Midpoint x 10 20 30 40 50 60
Percent of super shoppers 20% 13% 21% 17% 20% 9%

Required:
Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain.

Answers

Answer:

Yes, the probability distribution is valid.

Step-by-step explanation:

Given :

Income range ___ midpoint(x) ___ %

5 - 15 __________ 10 _____20%

15 - 25 _________ 20 _____13%

25- 35 _________ 30 _____ 21%

35 - 45 _________40 _____ 17%

45 - 55_________ 40 ____ 20%

55 or more _______ 50 _____9%

Yes, we do have a valid probability distributuon ; as the summation of the percentage values is equal to 100%

Yes. Using the income midpoints  x and the percent of super shoppers, we can conclude that we have a valid probability distribution.

Given:

Income ranges: 5-15, 15-25, 25-35, 35-45, 45-55, 55 or more.

Midpoints x:       10,     20,      30,      40,       50,      60

Percent of super shoppers: 20%, 13%, 21%, 17%, 20%, 9%.

A valid probability distribution has two must have properties:

Its probabilities are non-negative.

Its probabilities sum to 1.

In the given data, the percentages can be converted to probabilities by dividing by 100 as :

0.2, 0.13, 0.21, 0.17, 0.2, 0.09

None of the probabilities are negative.

All probabilities add up to 1

[tex]0.2 + 0.13 + 0.21 + 0.17 + 0.2 + 0.09 = 1[/tex]

Thus, given distribution is a valid probability distribution.

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Identity the composite number represented by the prime factorization below
22 X 32 X 7
It’s exponents

Answers

Answer:look below

Step-by-step explanation: The prime factorization of number is the break down into factors which are prime numbers (numbers without factors except 1 and itself). The factors 22 and 32 are composite numbers since they have more than 1 and itself as factors. They are not prime.

However, the factorization of 22 * 32 * 5 will equal a number. 22*32*5 = 3, 520. But it does not match the solutions given.

Answer:

2464

Step-by-step explanation:

prime factors : 32,11,7

32×11×7=2464

a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade ​

Answers

Answer:

1/4

Step-by-step explanation:

the probability  of selecting a spade: 14/52 = 1/4

PLS help its about Triangles Thank you!!!

Answers

these are your answers in order

B
A
B
D
C
D
A

A dog is starting a diet to get in better shape. The
dog starts at 89.5 pounds and loses 0.5 pounds
each week for a certain number of weeks. Halfway
through the diet, the dog weighs 80 pounds. How
many weeks has the dog been dieting for?​

Answers

Answer:

18.5 days

Step-by-step explanation:

Count by two's on your fingers until you have nine fingers up, and that equals 9 x 2 = 18, plus that .5 eqauls 18.5 days.

The dog has been dieting for 19 weeks.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given problem,

Starting weight of the dog = 89.5 pounds

Halfway weight of the dog = 80 pounds

Weight the dog loses per week = 0.5 pounds

Weight loss = (89.5 - 80) pounds

                    = 9.5 pounds

If the dog loses 0.5 pounds in 1 week,

Then the dog will lose 9.5 pounds in (9.5 × 2) weeks

⇒ The dog will lose 9.5 pounds in 19 weeks.

Hence, we can conclude that the dog has week dieting for 19 weeks and lost 9.5 pounds.

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Andy was scuba diving while his friend Ramon was climbing a mountain. If Andy was at an elevation of -100 feet, and Ramon was at an elevation of 975 feet, what was the difference in elevation (in feet) between Andy and Ramon?

Answers

Answer:

1075 feet

Step-by-step explanation:

LOOK BELOW PLEASE AM MARKING BAINLIST PLEASE GUYS

Answers

Answer:

C) 10

Step-by-step explanation:

hope it helps youuuuuu

Answer:

i got c) 10

Step-by-step explanation:

(11^2-9^2)*(1/2)^2

(121-81)

40*(1/2)^2

40*0.25

10

vwala can i have brainliest?

Jack can make 3 cups of croutons from
5 slices of bread. How many cups of
croutons can he make from 35 slices of
bread?

Answers

Answer:

there are 7 fives in 35

and each 5 slices makes 3 cups

so,,7×3=21 cups

Answer:

21 cups

Step-by-step explanation:

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