Find the area of the figure

Find The Area Of The Figure

Answers

Answer 1

Answer:

  89 m²

Step-by-step explanation:

It should be no surprise that the area can be found as the difference between the area of the enclosing rectangle and the area of the triangular cutout.

The rectangle area is given by ...

  A = LW

  A = (13 m)(8 m) = 104 m²

The base width of the triangular cutout is 13 m - 4 m - 4 m = 5 m. The area of that cutout is given by ...

  A = 1/2bh

  A = 1/2(5 m)(6 m) = 15 m²

Then the area of the shaded figure is ...

  104 m² -15 m² = 89 m²


Related Questions

3 in.
6 in.
What is the exact volume of the cylinder?
O 18 in
O 36 in
0 54 in
O 63 in

Answers

Answer:

18 in

Step-by-step explanation:

multiple base by height

4 1/8 take away 1 1/2

Answers

I think it’s 2 5/8 but I’m not sure!

Find the value of x. i’m so lost. it’s geometry!

Answers

Answer:

150°

Step-by-step explanation:

Consider OACB,

Here <CAO =<CBO= 90° ( As they are tangents)

<ACB= 30°

Now, <CAO +<CBO+<ACB+x= 360°

90°+90°+30°+x= 360°

x= 150°

Hope it helps

Answer:

150°

Step-by-step explanation:

Construct a line OC, and consider the resulting triangles ΔOAC.

<AOB=(1/2)x

<CAO=90

<ACO=30/2=15

Angles in a triangle add to 180, so

90+15+(x/2)=180

x/2=75

x=150°

Please help Mhanifa quickly!
What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9

Answers

Answer:

Given:

-4x - 2y = -2   x - 2y = 9

Subtracting:

-4x - 2y - (x - 2y) = -2 - 9-4x - 2y - x + 2y = - 11-5x = -115x = 11x = 11/5x = 2.2

You can now find y:

2.2 - 2y = 92y = 2.2 - 92y = - 6.8y = -6.8/2y = -3.4

Solution (2.2, -3.4)

Help please & thank you , need it asap

Answers

Answer:

x = 180 - 30 - 41 - 67 = 42°

You need to do l x w = h divided by 2.

HELP ME FAST PLEASE!!!!!
the volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches

Answers

Answer:

D. 16 in²

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
AK
170%
B

Answers

Answer:

10 degrees

Step-by-step explanation:

if it's supplementary then the two angles add up to get 180.

180-170=10

what is 5+5-5+5+5-5+5-5+100

Answers

Answer:

110

Step-by-step explanation:

5-5 cancel out

By the way, can you follow me on Brainly?

Thanks!

Answer:

uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator

7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.

Answers

Answer:

5 is a constant

2 is a coefficient

7a + 5 + 2b is written as a sum of three terms

Whats the area of number 10 ? Help please, help me do it and explain if you can! BTW THIS IS COMPOSITE SHAPES

Answers

Answer:

10. Area = 72 units²

Step-by-step explanation:

10. The shape in number 10 is a trapezoid.

Area of trapezoid = ½(a + b)*h

Where,

a = 6

b = 12

h = 8

Area = ½(6 + 12) * 8

Area = ½(18)8

Area = 72 units²

Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total
amount paid, and the cost of the mortgage?

Answers

You need 12 and it cost 50k

If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST

Answers

Answer:

The answer is 40 Centimeters.

Step-by-step explanation:

This answer is correct since there are 4 rows of 10, creating the Rectangular prism.  i hope this helped!

What are the first three terms of the sequence defined by the following equation?

an = 2 • (-3)n - 1.

Answers

Answer:

-7, -13, -19

Step-by-step explanation:

plug in 1,2, and 3 into the part of the equation "n".

Answer:

a1 = -7

a2 = - 13

a3 = - 19

Step-by-step explanation:

n = 1

a1 = 2*(-3)*1`- 1

a1 = -6 - 1

a1 = - 7

n=2

a2 = 2(-3)*2 - 1

a2 = -12 -1

a2 = - 13

n3 = 2(-3)*3 - 1

n3 = -18 - 1

n3 = -19

Each term is - 6 away from the previous one.


there is less customer to the organization. Use the six steps in decision making process to solve the
problem in the organization?​

Answers

Answer:

Step 1: Define Desired Outcomes and Actions. ...

Step 2: Endorse the Process. ...

Step 4: Develop Alternatives or Options. ...

Step 5: Evaluate, Select, and Refine Alternative or Option. ...

Step 6: Finalize Documentation and Evaluate the Process.

Step-by-step explanation:

between which two consecutive integers does √ 350 lie​

Answers

Answer:

18 and 19

Step-by-step explanation:

Answer:

18 and 19

Step-by-step explanation:

root 350 is 18.71

so in between 18 and 19

Convert 5/3 into a ratio

Answers

Answer:

5:3

Step-by-step explanation:

step one: reduce the fraction

(since 5/3 is a reduced as it can get we can 'skip' this step)

step two: rewrite as a ratio

5/3  

=5 : 3

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Write the equation in standard form, then identify center and radius of circle.

Answers

Answer:

Step-by-step explanation:

Given

x^2 + y^2 - 16y - 36 = 0

x^2 + y^2 - 16y = 36

x^2 + y^2 - 16y + (16/2)^2 = 36 + 8^2

x^2 + (y - 8)^2 = 64 + 36

x^2 + (y - 8)^2 = 100

The center is at (0,8) and the radius is 10

Try and follow it from the graph below.

Find 2a-3b as a column vector

Answers

Answer:

(-9, 14)

Step-by-step explanation:

Let the column vector be represented as a = (3, 4) and b = (5, -2)

2a = 2(3,4)

2a = (6,8)

3b = 3(5, -2)

3b = (15, -6)

Take the difference 2a - 3b

2a - 3b = (6,8) - (15, -6)

2a - 3b = (6-15, 8 -(-6))

2a - 3b = (-9, 14)

Hence the column vector is (-9, 14)

We want to find 2a - 3b as a column vector, we will get:

[tex]2a - 3b = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]

So we want to perform a sum (difference actually) of vectors, we have that:

[tex]a = \left[\begin{array}{ccc}3\\4\end{array}\right] \\\\\\b= \left[\begin{array}{ccc}5\\-2\end{array}\right][/tex]

Remember that when we multiply a vector by a scalar, each component gets multiplied by that scalar, so we have:

[tex]2a = \left[\begin{array}{ccc}2*3\\2*4\end{array}\right] = \left[\begin{array}{ccc}6\\8\end{array}\right] \\\\\\3b= \left[\begin{array}{ccc}3*5\\3*-2\end{array}\right] = \left[\begin{array}{ccc}15\\-6\end{array}\right][/tex]

Now we just perform the direct difference:

[tex]2a - 3b = \left[\begin{array}{ccc}6\\8\end{array}\right] - \left[\begin{array}{ccc}15\\-6\end{array}\right] = \left[\begin{array}{ccc}6 - 15\\8 + 6\end{array}\right] = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]

If you want to learn more, you can read:

https://brainly.com/question/10435343

a/4 + 2 = 6
Please help I need this ASAP!!!

Answers

the answer is on the picture

Rachel is treating her three friends to go see The Avengers: End Game. Each movie ticket costs x dollars. Rachel orders each of them (including herself) candy that cost $3.75 each and drinks that cost $4.25 each.

Answers

Answer:

4(x+8) OR 4x+32

Step-by-step explanation:

4x+(4*3.75)+(4*4.25)

There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.

If you want to factor it, the answer would be 4(x+8)

If you want it simplified, it would be 4x+32

Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake?​

Answers

Answer:

25%

Step-by-step explanation:

36-27= 9/36= 0.25 x 100 = 25%

Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Range
D. Mode

Answers

Answer:

C

Step-by-step explanation:

C is the answer becasue range is not classified as a measure of central tendency

If g(x) = 8(1/2)^x then what is g(-1)= ?

Answers

Answer:

x=0  

g−1(4)=0∵ g(0)=4

Step-by-step explanation:

part 2. Algebraically find the inverse of the function

1. f(x) = -3(x - 4)^2 - 6

2. y = sqrt (x - 4)^2 + 3

3. y = 4 cube root (x)​

Answers

Answer:

1. f⁻¹(x) = ±²√(-⅓(x + 6)) + 4

2. y = ²√(x–3) + 4

3. y = (x/4)³

9514 1404 393

Answer:

f⁻¹(x) = 4 ±(1/3)√(-3x-18)y = (x -3)² +4y = x³/64

Step-by-step explanation:

To find the inverse function, solve for y the equation ...

  x = f(y)

__

1.

  [tex]x=f(y)\\\\x=-3(y-4)^2-6\\\\x+6=-3(y-4)^2\qquad\text{add 6}\\\\\pm\sqrt{\dfrac{x+6}{-3}}=y-4\qquad\text{divide by -3, square root}\\\\4\pm\dfrac{1}{3}\sqrt{-3(x+6)}=y\qquad\text{add 4, rationalize the denominator}\\\\\boxed{f^{-1}(x)=4\pm\dfrac{1}{3}\sqrt{-3x-18}}\qquad\text{simplify the radical}[/tex]

__

2.

  [tex]x=\sqrt{y-4}+3\\\\x-3=\sqrt{y-4}\qquad\text{subtract 3}\\\\(x-3)^2=y-4\qquad\text{square both sides}\\\\\boxed{y=(x-3)^2+4}\qquad\text{add 4}[/tex]

__

3.

  [tex]\displaystyle x=4\sqrt[3]{y}\\\\\frac{x}{4}=\sqrt[3]{y}\\\\\left(\dfrac{x}{4}\right)^3=y\qquad\text{cube both sides}\\\\\boxed{y=\dfrac{x^3}{64}}[/tex]

A painter took 15 hours to paint 12 rooms in a building. Choose all true statements about the painter's rate of speed

Answers

Answer:

B and E

Step-by-step explanation:

15 divided by 12 is =1.25

1.25 ti.es 36 rooms =45 hours

CAN ANYONE HELP ME ASAP AND THANKS:)

Answers

Answer:

true, true, false

Step-by-step explanation:

the sales do not decrease between week 4 and 5

Answer:

The answer is True, True, False

Step-by-step explanation:

For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.

For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.

For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.

Hope this helps!

Beginning at 8:30 A.M., tours of the National Capitol and
the White House begin at a tour agency. Tours for the
National Capitol leave every 15 minutes. Tours for the
White House leave every 20 minutes.

a) How often do the tours leave at the same time?


b) When is the next time the two tours will leave at
the same time?

Answers

Answer:

Step-by-step explanation:

if both tours start at 8:30 A.M, the NC (National Capitol) 8:45, and the WH (White House) leaves at 8:50.

NC

08:45                     08:50

09:00                     09:10

09:15                      09:30

09:30                     09:50          

09:45                     10:10  

10:00                      10:30    

10:15                       10:50    

10:30                       11:10  

10:45                        

11:00                    

Both tours leave at 9:30, and then away at 10:30.

They leave at the same time every hour.

I need help with this!!

Answers

Answer:

c

Step-by-step explanation:

Plzzzz help me to find the answer

Answers

Answer:

im pretty sure its 67, sorry if I'm wrong

What is the value of y in (1/2)x + 3 = (1/3)y - 2 if x = 28/3?

Answers

Answer:

y = 29

Step-by-step explanation:

x/2 + 3 = y/3 - 2

28/3 ÷ 2 = 14/3

14/3 + 9/3 = y/3 - 6/3

23/3 + 6/3 = y/3

29/3 = y/3  ∴ y = 29

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