Find the area of the shaded region

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

There are many ways you can do this. I think the simplest way is to find the area of the rectangle enclosing the winged shape and take away the area of the three unshaded triangles.

Area of enclosed rectangle

Area = L * w

L = 26 in

w = 15 in

Area = 26 * 15

Area = 390 square inches.

Find the area of the triangle on the right.

Area = 1/2 * b * h

base = 26 inches

height = 15 - 6 = 9

This is a little tricky. What you need to do to get the height of the triangle is realize that it is made from a line that goes from the base of the triangle to its peak. This line is perpendicular to the base. The line you just drew is 15 inches tall, same as the width of the enclosing rectangle.

Substitute values into the formula

Area = 1/2 * 26 * 9

Area = 117 square inches.

Find the area of the top and bottom triangles.

These 2 triangles are the same sort of thing only the base requres a bit of manipulation

height = 15 inches

base = (26 - 14)/2

base = 12/2

base = 6

Again, this requires a little bit of thought. You have 2 bases making up each of the right triangles. To find the sum of both of them, you take 26 and subtract 14 from it. That's where the 12 comes from. Now you divide 2 to get the base of each of the triangles. That gives you 6.

Find the area of one of the triangles.

Area = 1/2 * b * h

Area = 1/2 * 6 * 15

Area = 45 square inches

Find the area of both triangles.

Area of triangles at the top and bottom = 2*45 = 90

Finally find the area of the shaded area.

Area = enclosed rectangle - top triangle and bottom triangle - the triangle on the right.

Area shaded area = 390 - 45 - 45 - 117 = 183

Answer: Area shaded region = 183 square inches.

Related Questions

$1500 at 8.5% for 6 months. What is the interest?

Answers

Answer:63.75

Step-by-step explanation: 1500x0.085x0.5=63.75

The prism below has dimensions 2 inches by 3 inches by 4 inches. To the right of the prism, shade the number of prisms necessary, if stacked on top of each other as shown, to create a new prism with a surface area between 100 square inches and 130 square inches.
HELPPPPPPPPPPPP

Answers

The area of the stacked prism is the amount of space on it

To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms

How to determine the number of prisms?

The dimension of the prism is given as:

2 inches by 3 inches by 4 inches

The surface area of the prism is calculated as:

A = 2 * (LW + WH + LH)

This gives

A = 2 * (2 * 3 + 3 * 4 + 2 * 4)

Evaluate the product

A = 52

When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.

So, the number of prisms (n) needed is:

100/ 52 < n < 130/52

Evaluate the quotient

1.9 < n < 2.5

Approximate

2 < n < 2.5

Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.

Answers

[tex]\qquad\qquad\huge \: \sf Answer[/tex]

Number of people who prefer crabs are :

[tex] \\qquad \tt \dashrightarrow \:{30\% \:\: of \:\: 140} [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{30}{100} \times 140 [/tex]

[tex]\qquad \tt \dashrightarrow \:3 \times 14[/tex]

[tex]\qquad \tt \dashrightarrow \:42 \: \: people[/tex]

An auditorium has rows of seats with a seats in each row Kayla
knows there are at least 70 seats but fewer than 156 seats in the
auditorium. How many rows of seats can there be in the auditorium
Use Exercises 1-a to answer the question
1. Explain how you would find the least possible number of rowe
in the auditorium
2. How would you find all the possible numbers of rows, without
having to check if & is a factor of every number between
70 and 1507
3. Name all the possible numbers of rows in the auditorium,

Answers

Step-by-step explanation:

Note: there is a typo, 'a' should be '8'

The number of seats in each row is 8 and the total number of seats is between 70 and 150.

Let x be the number of rows, then we have the inequality:

70 ≤ 8x < 156

Divide all sides by 8 to get:

70/8 ≤ x < 156/89 ≤ x ≤ 19 (taking closest integers)

So the number of rows is between 9 and 19 both inclusive.

All possible number of rows

9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Answer:

1. 9 rows

2. see below

3. 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Step-by-step explanation:

Please note that I believe there are typing errors in the question and that the given information should be:

8 seats in each rowAt least 70 seatsLess than 150 seats

Question 1

To determine the least possible number of rows in the auditorium, divide the least number of seats by the number of seats in a row:

⇒ 70 ÷ 8 = 8.75

As the answer is a decimal, round it up to the nearest whole number.

Therefore, the least possible number of rows in the auditorium is 9 rows.

Question 2

Find the greatest number of rows by dividing the greatest number of seats by the number of seats in a row:

⇒ 150 ÷ 8 = 18.75

As there should be fewer than 150 seats we cannot round the number up (as this would make there be more than 150 seats), so instead must round it down to 18.

Therefore, the greatest number of rows in the auditorium is 18 rows.

Question 3

As we have found the least number of rows in question 1 and the greatest number of rows in question 2, all we need to do is list all the numbers between (and including) these numbers.

Therefore, all the possible numbers of rows in the auditorium are:

9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Find the square. Then simplify your answer.

Answers

Answer:

4a²-8a+4

Step-by-step explanation:

[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]

[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]

[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]

Which proportional line has the smallest slope?

Question 14 options:

y= 8x

y=2x

y= .75x

y=.256x

Answers

Answer: y=.256x

Step-by-step explanation:

This line has the smallest coefficient for x.

Find the binomials that created the generic rectangle below.

Answers

I think the answer is 12x* - 14x +4

On Saturday, Mark sold 2 7/8 gallons of lemonade.On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?

Answers

The quantity of lemonade that Regan sold on saturday given the amount sold by Mark is 1 11/12 gallons.

What are fractions?

Fractions are non-integers that consist of a numerator and a denominator. A proper fraction is a fraction in which the numerator is less than the denominator. e.g. 2/3. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 7/8.

How much lemonade did Regan sell?

2 7/8 x 2/3

23/8 x 2/3 = 23/12 = 1 11/12 gallons

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

How much will Audrey earn if she earns $13.00 for each hour worked , works 43 hours, and has payroll deductions of $167.70?

Answers

Answer:

391.3

Step-by-step explanation:

13x43=559

559-167.70=391.3

6. A number solid with faces labeled 1 through 16 is rolled. What is the probability that the number 16 will appear facing up when the solid is rolled? Record the answer as a simplified fraction.

Answers

Answer:

1/16 chance that it will land on 16 because there are 16 faces

Answer:

1/16.

Step-by-step explanation:

That will be 1 chance in 16.

Helllllp!!!! Will Mark Brainliest!!!

Answers

Answer:

from my side it's blurry

pls help me !!

a sector of a circle has a central angle measure of 90°, and an area of 7 square inches. what is the area of the entire circle?

area of the circle = __ square inches

Answers

Step-by-step explanation:

area of circle - pie x r x r

22/7 x 7/2 x 7/2 ( 7 as diameter because it's straight line passing through centre)

77/2 is the sq inches

Solve the following inequality

Answers

Answer:

14<x<20

Step-by-step explanation:

14<x<20 is your required answer

The product of two rational numbers is 117/40. If one of them is - 13/5, find the other.

Answers

Answer:

= - 9/8

Step-by-step explanation:

(-13/5) * x = 117/40 multiply both sides by - 5/13

x = 117 / 40 * - 5/13 = - 9/8

Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an – 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.

Answers

Answer: 1. 10

2. an = an - 1 + 7 where a1 = -10

Step-by-step explanation:

Answer: A. an = an – 1 + 7 where a1 = –10

Step-by-step explanation:

Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How long in seconds would it take Sheila to travel 90 meters at this speed?
Enter the number in the box.

Answers

It would take her 15 seconds to reach 90 meters

I don't know how to answer this, please help!

Answers

the simplified equation is 4x^2-3x+2

if x varies directly with y and x=-19 when y=14 what is x when y=2

Answers

The variation from x to y is an illustration of a direct variation

The value of x when y = 2 is -19/7

How to determine the value of x?

The variation is a direct variation.

So, we have:

x = ky

Where k represents the constant of variation

Make k the subject

k = x/y

This gives

x1/y1 = x2/y2

So, we have:

-19/14 = x/2

Multiply both sides by 2

x = -19/14 * 2

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

Read more about direct variation at:

https://brainly.com/question/6499629

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

the function f(x) is defined by f(x)=3x. the inverse of f(x) is g(x) what is g(12)

Answers

Answer:

answer is 4

have a nice day

A. >
B. <
C. =
D. none of the above

Answers

Answer:

i think the answer is >

Step-by-step explanation:

Hoped this helped

pls tell me if im wrong

Answer:

Step-by-step explanation:

You have to turn the scientific notation into standard form and compare the 2 and it comes into 8200 and 460000 and 8200 is less than 460000.

Which answer choice correctly represents an algebraic expression for the quotient of a number and 8?
A 8j
B 1:8
C 3-8
D
8+j

Help mee please

Answers

Answer: [tex]j \div 8[/tex]

We're dividing unknown number j over 8

We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]

The quotient is the result of a division problem (there may or may not be a remainder).

What type of ballots are used when voting for president in the United States?

preference ballots

traditional ballots

alternative ballots

conventional ballots

Answers

Answer:

preference ballot

Step-by-step explanation:

A preference ballot is a ballot in which the voter ranks the choices in order of preference.

Answer:

Traditional ballots

Step-by-step explanation:

i took the test

Someone please help!!!!

Answers

Answer:

Step-by-step explanation:

quadratic values always set to 0 due to the x-intercept which you find from the equation

ayuda porfa, quien entiende???

Answers

Answer:

Step-by-step explanation:

the right answer is c it good

WORTH 80 sorry its zoomed out but is there cluster or outliers where and explain why

Answers

Answer:

15.42, 25.49, 46.19

Step-by-step explanation:

although 32.28, 40.40 could also be considered

Write a two-column proof on a space provided

Answers

Answer:

Step-by-step explanation:

Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.

Answers

After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.

What is scale factor?

Scale factor is the ratio of the corresponding sides of two objects.

Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)

(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A

Surface area of rectangular pyramid A

So, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²

Since

scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²

surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²

So, substituting the values of the variables into the equation, we have

surface area of rectangular pyramid A = 1215 cm²/33²

= 1215 cm²/1089

= 1.12 cm²

So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

Learn more about scale factor here:

https://brainly.com/question/26467371

Solve for X please! Include small explanation as-well

Answers

Answer:

x = 26

Step-by-step explanation:

Take the sides in proportion.

7/56 = 8/(2x - 4 + 8)1/7 = 8/(2x+4)2x + 4 = 8(7) = 562x = 52x = 26

how many students are involved in the school music program but not school sports

Answers

Answer:

45% of the school because some will sign up

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