Find the area of the shaded region. Round to the nearest hundredth when necessary.

Find The Area Of The Shaded Region. Round To The Nearest Hundredth When Necessary.

Answers

Answer 1

Answer:

Area of the shaded region is 223.72 square units.

Step-by-step explanation:

Area of the shaded region = Area of parallelogram - Area of triangle

Area of the parallelogram = base x height

                                      = 23.8 x 15

                                      = 357 square feet

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

Let the height of the triangle be represented by h, applying the Pythagoras theorem;

[tex]23.8^{2}[/tex] = [tex]21^{2}[/tex] + [tex]h^{2}[/tex]

566.44 = 441 + [tex]h^{2}[/tex]

[tex]h^{2}[/tex] = 125.44

h = [tex]\sqrt{125.44}[/tex]

   = 11.2

h = 11.2

Area of the triangle = [tex]\frac{1}{2}[/tex] x 23.8 x 11.2

                              = 133.28

Area of shaded region = 357 - 133.28

                                      = 223.72

Area of the shaded region is 223.72 square units.


Related Questions

Subtract : 13.257 from 25.8

Pls Someone Help​

Answers

Answer:

12.543

Step-by-step explanation:

She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 → x = 5

Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 → y = 4

“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.



Explain how you know that a system of equations has no solution.




Explain how you know that a system of equations has an infinite number of solutions.

Answers

Answer:

Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.

3 ⅕ -⅔ divided by 2 ⅘

Answers

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

[tex]\frac{14}{5} - \frac{2}{3}[/tex] : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

[tex]\frac{32}{14}[/tex] multiplied by [tex]\frac{5}{14}[/tex]

thus, answer is 160/196

Please help ASAP!!!

Answers

Answer:

Cry about it wah wah wahhhhhhhh

Step-by-step explanation:

A boat travels 176 miles in 13
hours (with a constant speed).
How far can it travel in 22 hours
(with the same speed)?

Answers

Answer:

297.84 miles

Step-by-step explanation:

176 miles in 13 hours is 13.5 miles per hour

13.5 * 22 = 297.84

A survey of randomly selected visitors to a mall yielded the following data:



Approved new design for the seating in the food court

Number surveyed

Male

155

254

Female

157

301

Based on this sample, what would be the correct decision and conclusion of a test to determine whether the proportion who approve the design plan for the seating area in the food court is higher for men than it is for women at the 5% level?

a) Reject the null concluding that there is evidence the proportion is higher for men.


b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.


c) Do not reject the null hypothesis concluding that there is evidence that the proportion is higher for men.


d) Reject the null concluding that there is evidence the proportion is higher for women.


e) Do not reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.

Answers

Answer:

The answer is A

Step-by-step explanation:

Reject the null concluding that there is evidence the proportion is higher for men.

Using the z-distribution, as we are working with proportions, it is found that the correct option is:

b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportions are the same, that is:

[tex]H_0: p_M - p_W = 0[/tex]

At the alternative hypothesis, it is tested if it is higher for men, that is:

[tex]H_1: p_M - p_W > 0[/tex]

What is the distribution of the difference of proportions?

For each sample, we have that:

[tex]p_M = \frac{155}{254} = 0.6102, s_M = \sqrt{\frac{0.6102(0.3898)}{254}} = 0.0306[/tex]

[tex]p_W = \frac{157}{301} = 0.5216, s_W = \sqrt{\frac{0.5216(0.4784)}{301}} = 0.0288[/tex]

Then, for the distribution of differences, the mean and the standard error are given by:

[tex]\overline{p} = p_M - p_W = 0.6102 - 0.5216 = 0.0886[/tex]

[tex]s = \sqrt{s_M^2 + s_W^2} = \sqrt{0.0306^2 + 0.0288^2} = 0.042[/tex]

What is the test statistic?

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis, hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0886 - 0}{0.042}[/tex]

[tex]z = 2.11[/tex]

What is the decision?

Considering a right-tailed test, as we are testing if the proportion is higher than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex].

Since the test statistic is greater than the critical value for the right-tailed test, there is enough evidence to reject the null hypothesis that the there is no evidence that the proportion is higher for men, hence option b is correct.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Write the dimensions of a rectangular prism or cube and find the surface area. Explain.
PLEASE HELP ASAP THANKS SO MUCH

Answers

to find the surface area you need to find the area of the front side and the area of the side. then multiply both together

What is the equation for this line, in Slope Intercept Form (6,1) and (2,-1)

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(2-6)

m=-2/-4

m=1/2

y-y1=m(x-x1)

y-1=1/2(x-6)

y=1/2x-6/2+1

y=1/2x-3+1

y=1/2x-2

you purchase a bike for$175 the store-bought it from the manufacture for $100 what is the percent markup

Answers

Answer:

Step-by-step explanation:

If you bought something in Texas for $52.00, you would be charged $3.25 in state sales tax. What is the state sales tax rate in Texas? Round your answer to the nearest hundredth of a percent

Answers

Answer:6.25%

Step-by-step explanation:

3.25 / 52 = 0.0625

PART B—- Find the surface area of the figure. PLEASE HELP!!
Just part b!

Answers

Answer:

24 ft^2

Step-by-step explanation:

Surface area is the total area on the surface of the figure.

One side of the cube is 4 ft^2 (2ft*2ft)

there are 6 sides.

4ft^2 * 6 sides is 24 ft^2

What is the area of the base of the figure
48
45
30
24

Answers

i believe the area is 48 if it's not correct sorry

For to 30-60-90 triangle below, the length of side AB is 52 cm.
Find the length of CB.

PLZ

Answers

Answer:

Using 60°

Let side CB be x

Cos60= x/52

Cross multiply=

x= 52cos60

x= 26 cm

Answer the statistical measures and create a box and whiskers plot for the following set of data.
4, 5, 6, 6, 6, 8, 9, 9, 9, 11, 11, 12, 12, 14, 14
4,5,6,6,6,8,9,9,9,11,11,12,12,14,14

Answers

Answer:

B

Step-by-step explanation:

Your answer should be written in paragraph/essay format.

Any sources used should be cited at the bottom of your paper.

All answers should show you have learned something from Unit 9.  Material from other units will not be graded for this assignment.

If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.

Which of the values in the set (2, 3, 4, 5) is a solution to the equation 2x + 4 = 10? ​

Answers

Answer:

3

Step-by-step explanation:

2x+4=10

2(3)+4=10    2*3 = 6

6+4=10

10 = 10

Answer is 3 because 2 times 3 is 6 and + 4 is 10

Example 3
he two In a class of 60 students, 46 passed Biology
and 42 passed Chemistry. Every student
ariable passed at least one of the two subjects. How
many students passed in both subjects?
Solution
Let U = students in the class
cps​

Answers

Answer:

28 students passed in both subjects.

Step-by-step explanation:

We solve this question treating each event as a Venn set.

I am going to say that:

Event A: Passed Biology.

Event B: Passed Chemistry.

46 passed Biology

This means that [tex]A = 46[/tex]

42 passed Chemistry.

This means that [tex]B = 42[/tex]

Every student passed at least one of the two subjects.

This means that [tex]A \cup B = 60[/tex]

How many students passed in both subjects?

This is:

[tex]A \cap B = A + B - A \cup B[/tex]

From the values we have above

[tex]A \cap B = 46 + 42 - 60 = 28[/tex]

28 students passed in both subjects.

Josephine was asked to make a one-fiftieth scale model of the new water tower for her town. She constructed the model that is shown below.

A water tower has a height of 2.25 feet and diameter of 1.25 feet.
Not drawn to scale

What is the height of the town’s new water tower in feet? Round to the nearest whole number.
22 feet
40 feet
63 feet
113 feet

Answers

Answer:

D

Step-by-step explanation:

2.25x50=112.5

112.5 rounds up to 113, which is D

Answer:

33.75?

Step-by-step explanation:

2.25*15

Help me out please??

Answers

The answer to ur question is c

A square pyramid is shown. What is the surface area of the pyramid? Enter your answer in the box.

Answers

Answer:

The surface area of the square pyramid is 34.63cm².

Step-by-step explanation:

[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} } =3^{2} +2[/tex]×3×[tex]\sqrt{\frac{3^{2} }{4} +4^{2} }[/tex]≈34.63cm^2

Giving 13 points!! Help help help

Answers

Answer:

a. 15

b. 27

c. 4

d. 72

e. 2

Step-by-step explanation:

If you need an explanation lmk! happy to help.

(Take the=22/7)
curved surface area of cylinder with diameter 21cm and height 5cm.​

Answers

Answer:

330cm²

Step-by-step explanation:

CSA of a cylinder = 2πrh

(r = d/2 = 21/2 = 10.5 cm)

Putting the values of 2πrh;

2 x 22/7 x 10.5 x 5

2 x 22 x 1.5 x 5 *(10.5/7 = 1.5)

330 cm²

What is the product of 2 and 2 square foot 80

Answers

Answer:

35.7 I believe

Step-by-step explanation:

Which fraction is equivalent to the whole number 8?
A.1/8
B.2/10
C.12/8
D.16/2

Answers

Answer:

D: 16/2

Step-by-step explanation:

you take 16 and divide it by 2 making your answer 8

Put the following equation in Standard Form:
(1/2)x - 4 = (2/3)y

Answers

Answer:x=4/3y+8

Step-by-step explanation:

Step 1: Add 4 to both sides.

Step 2: Divide both sides by 1/2.

Answer:

3x-4y =24

Step-by-step explanation:

hope this helped xoxo

Given f(x)=0.25(6)x, find f−1(x).

Answers

Answer:

f−1(x) = [tex]\frac{4x}{6}[/tex]

Step-by-step explanation:

f(x) = 0.25(6)x, find f−1(x).

f(x) = 0.25(6)x

f(x) = [tex]\frac{6}{4}[/tex]x = [tex]\frac{6x}{4}[/tex]

f(x) = y

y =  [tex]\frac{6x}{4}[/tex]

Substitute y for an x & x for a y

x = [tex]\frac{6y}{4}[/tex]

Multiply both sides by 4

4( x ) = 4( [tex]\frac{6y}{4}[/tex] )

4x = 6y

Divide both sides by 6 to solve for y

[tex]\frac{4x}{6}[/tex] = y

y = [tex]\frac{4x}{6}[/tex]

so f−1(x) = [tex]\frac{4x}{6}[/tex]

ILL GIVE BRAINIEST ANSWER IM IN A RUSH!!!!!PLEASE AND THANK YOU!

Answers

Answer:

I believe the answer is $52.46

Hope this helps :)

PLEASE HELP IMAGE ATTACHED⚠️⚠️⚠️⚠️⚠️

Answers

Answer:

A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

5. In the diagram above, what is the volume of the rectangular prism?
A. 120 cm
B. 162 cm
C. 324 cm
D 360 cm

Answers

Answer:

The answer is D.

Step:

6*5*12=360

what is 50 x356 PLZ HELP MY ANSWER IS 178000 AM I RIGHT

Answers

17,800 is the correct answer

some one pleas help y=2x+3 y=-2x+15

Answers

Answer:

x = 3. y= 9

Step-by-step explanation:

2x +3 = -2x +15

4x = 12

x = 3

y 2(3) + 3 = 9

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