(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4

(25points) Which Of The Following Is The Ratio Of The Area Of The Shaded Region To The Total Area Of

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We want to find ratio of the area of the shaded region to the total area of the square.

First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:

[tex]A=(7)^2=49\text{ units}^2[/tex]

Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.

QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.

So, the area of ΔQRP is:

[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]

UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:

[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]

Therefore, the total area of the white region is:

[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]

Thus, the shaded region is:

[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]

Then the ratio of the shaded region to the total area of the square will be:

[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]

Our answer is C.


Related Questions

A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?

Answers

Answer:

288

Step-by-step explanation:

you would do 180 devided by 3 then multiply that number by 5

Lily makes regular deposits to a savings account to save
money for retirement. She deposits $1000 to the account
and didn't add any additional money. The account offers
compound interest annually at a rate of 4%. How much
money does Lily have in her account in 2 years?
Step 1:
What is the Pr?
Pis ris
A=P(1+
tis
Step 2
Totalmolol is
(final answer)
1% 1+100
1/100
4% 4 +100 4100
92 9 +1000/100
1102.4
1081.6
O 1020.8
O 1108.6

Answers

I’m not gonna help much I’m bad at math but good luck have a nice day

Answer:

Step-by-step explanation:

jus needed the points lolz

What is the total Fatima paid?

Answers

A.
You have to $129.95 * 5 because 5 were purchased and that would give you $649.75 then you add delivery fee $76.20 for delivery fee.

Please please help!!!!

Answers

Answer:

4.75

Step-by-step explanation:

Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8

Answers

Answer:

A) 32

Step-by-step explanation:

f(3)=1/2(4)^(3)

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

i believe it is C. a histogram
(if it’s not then sorry)

Answer:

A

Step-by-step explanation:

It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.

What is the distances between (3, 10) and (3, -8)

Answers

Answer:

(0,-12)

Step-by-step explanation:

is this what your looking for? what form would you like me to answer this in?

Does anyone know this ??

Answers

Answer:

C

Step-by-step explanation:

because I took the test

If z = -1.3, mu=80, sigma=30 What is the actual data value? Round to 2 decimal places.

Answers

Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).

Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.

where:

M = sample mean

Z = Z statistic determined by confidence level

sM = standard error = √(s2/n)

As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)

Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?

Answers

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

A small cake is cut into 4 equal pieces. What fraction represents the entire cake? Explain.

Answers

Answer:

4/4 ?

Step-by-step explanation:

Answer:

4/4

Step-by-step explanation:

Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.

Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?

Answers

Answer: Tammy would have 9

Step-by-step explanation:

(6 3/4) / (3/4) =

= 27/4 / 3/4

= 27/4 * 4/3

= 27/3 * 4/4

= 9

I would appreciate it if someone could help answer this problem:)

Answers

Answer:

[tex]x=85^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of any polygon with five sides is equal to [tex](5-2)\cdot 180=3\cdot 180=540^{\circ}[/tex]. Therefore, we can set up the following equation and solve for [tex]x[/tex]:

[tex]115+95+115+130+x=540,\\455+x=540,\\x=\boxed{85^{\circ}}[/tex]

i will give Brainiest if you are right

Answers

Answer:

The answer is $22.75! (A)

Step-by-step explanation:

All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.

22.75 + 13.75 = 36.50

calculate the gross margin if the selling price is $264 and the cost is $214

Answers

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

Selling price= $264

Unitary cost= $214

To calculate the gross margin, we need to deduct from the selling price the unitary cost:

Gross margin= selling price - unitary cost

Gross margin= 264 - 214

Gross margin= $50

Can you help I’m really stuck on this question.?.?.
No links. Pleas

Answers

Answer:

We can't see it all that well sorry.

Step-by-step explanation:

D is going in the 4th quadrant. Please help

Answers

What are you asking here? Are you asking if D is the right answer? If so then I can’t see D.

Compute the permutation.

5 P 4

5
20
120

Answers

Answer:

Step-by-step explanation:

5P4=5×4×3×2=120

The square of an integer is 5 more than 4 times the integer. Find the integer.

Answers

Answer:

The integer can be -1 or 5.

Step-by-step explanation:

Let an integer is x.

ATQ,

The square of an integer is 5 more than 4 times the integer.

[tex]x^2=5+4x[/tex]

or

[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]

It is a quadratic equation. Using middle term splitting,

[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]

So, the integer can be -1 or 5.

If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5

Let the unkown integer be "x"

The square of an integer is expressed as x^2

5 more than 4 times the integer is expressed as [tex]4x +5[/tex]

Equate both expressions to have:

[tex]x^2 = 4x + 5\\[/tex]

Equate to zero and factorize:

x^2 - 4x - 5  = 0

x^2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1 and 5

Hence the integers are -1 and 5

Leearn more here: https://brainly.com/question/13805464

What is the product?

Answers

Answer:

I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am

Find the measure of a 3.
ts
43
90°
<<
43 = [?]

Answers

The correct answer is 90

QUESTION 4 · 1 POINT
The roof pictured below has a rise of 10 feet and a run of 15 feet.
Run= 15 feet
Rise = 10 feet
What is its slope?

Answers

If the run is 15 and the rise is 10 you put the rise over the run then simplify it so you get 2/3

(u + 4.5)(1.2) please help

Answers

The answer is 48
(4+20)×2
Simplify
24×2
Simplify.
48

what 8 × 3 to the 14th power multiplied by 136???
[tex]23x {5521}^{?} [/tex]

Answers

om de har har mahadev har har mahadev har har mahadev mahadev har har mahadev

5,203,870,272

Step-by-step explanation:

8×3^14×136

=(8)(4782969)(136)

=(38263752)(136)

=5,203,870,272

i think this is the answer

Select the correct answer.

A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.

p(x) = -10x^2 + 498x - 1,500

what is the company's profit if it sells each sign for $20?

A. $18,020
B. $4,460
C. $14,420
D. $1,402

Answers

The profit made id each sign is sold for $20 is $4460

The profit model, P(x) = -10x² + 498x - 1,500

Where, x = price per sign sold

If the price per sign sold is $20. Hence, x = $20

The profit made can be calculated thus :

Put x = 20 in the profit function :

P(20) = -10(20)² + 498(20) - 1,500

P(20) = - 10(400) + 9960 - 1500

P(20) = - 4000 + 9960 - 1500

P(20) = $4,460

The profit made is $4,460

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Answer:

$4,460

Step-by-step explanation:

I got a 100% on my test

The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average dollar amount spent at his competitor's store. At the end of the day, he reviews the amounts of the last 15 grocery orders. The amounts rounded to the nearest dollar are: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50 He then visits the store of his competitor and surveys the first 15 people leaving the store with groceries. The amounts he records, also rounded to the nearest dollar, are: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 What is the average amount of money spent at each store to the nearest cent

Answers

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]

The average spent at his competitor's store is of $48.53.

Answer:

a) Manager's store: mean = $37.60

Competitor's store: mean = $48.53

b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.

Step-by-step explanation:

used this for my test and it was correct.

The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rectangular prism?

Answers

Answer: 1/2

First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.

Answer this for 10 points

Answers

Answer:

Equations would be;

30 + 50 + y = 180

and

y = 180 - 80

Additional:

If you are looking for y and u value then here they are:

y = 100°

u = 25°

Hope this helps!

IK ANSWERS AREN’T CLEAR LOOK AT PHOTO!! HELP ASAP I WILL MARK BRAINIEST!

Answers

Answer:

a^2 b^7

Step-by-step explanation:

I believe this is right

Guys can you help me please :( ASAP

Answers

Answer:

The answer is 25 + 11

Step-by-step explanation:

Hope this helps

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