1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vaselesa [24]
3 years ago
5

Find the area of a compound shape Can you please explain

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

A=292.53~m^2

Step-by-step explanation:

<u>Area of a Compound Shape</u>

The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.

The area of a circle of radius r is:

A_c = \pi r^2

The area of a triangle of base b and height h is:

\displaystyle A_t=\frac{b.h}{2}

Calculate the area of the circle:

A_c = \pi 8^2

A_c = 64\pi

Area of half the circle:

A_c/2 = 32\pi~m^2

Area of the triangle:

\displaystyle A_t=\frac{24\cdot 16}{2}

A_t=192~m^2

The area of the shaded shape is:

A=32\pi~m^2+192~m^2

Substituting the value of pi:

\mathbf{A=292.53~m^2}

You might be interested in
Help me plzzzzzzzzzzzzzzzzzzz
4vir4ik [10]

Answer:

5.5; 11.00; 16.50

E = 5.5h

Step-by-step explanation:

Given

The attached table

Solving (a): Complete the table

First, calculate the slope (m)

m = \frac{E_2 - E_1}{h_2 - h_1}

So:

m = \frac{27.5-  22.00}{5-4}

m = \frac{5.50}{1}

m = 5.50

So, the equation of the table is:

E = m(h - h_1) + E_1

E = 5.5(h - 4) + 22

E = 5.5h - 22 + 22

E = 5.5h

When h =1,2,3

E = 5.5 * 1 = 5.5

E = 5.5 * 2 = 11.00

E = 5.5 * 3 = 16,50

6 0
3 years ago
The interior angles of a triangle have a ratio of 2:3:5 2 : 3 : 5 . what is the measure of the largest interior angle of the tri
rusak2 [61]
Ratio = 2 : 3 : 5

Hence, the interior angles of the triangles are 2x, 3x and 5x.

We know, the sum of the interior angles of  are triangle is 180°.

2x + 3x + 5x = 180

10x = 180

x = 18

Hence, the angles are 36°, 54°, 90°.

Hence, the measure of the largest interior angle is 90°.
4 0
4 years ago
What was the amount of the initial deposit that started this<br> savings account?
Nataly_w [17]

Answer:

Step-by-step explanation:

12) The amount of the initial deposit is $1000

13) the slope is (y2 - y1)/(x2 - x1)

Slope = (4000 - 3000)/(6 - 4)

Slope = 1000/2 = 500

The y intercept is the value of y when x is zero. Therefore,

y intercept = 1000.

14) The equation of a straight line represented in the slope intercept form is

y = mx + c

Where

m represents slope

c represents intercept

Therefore the equation is

y = 500x + 1000

15) The slope represents rate of change in the amount saved with respect to time in months.

4 0
4 years ago
2.What is the y-coordinate for the solution of the system of equations below
tino4ka555 [31]

the answer for this question is (C)3

5 0
3 years ago
Five-sixths of b is added to 7
Strike441 [17]
The answer would be 7+5/6b
5 0
4 years ago
Read 2 more answers
Other questions:
  • What is the simplified form of the following expression q^3 h^-15/q^-6 h^9
    11·1 answer
  • Okay guys last one of the night​ ill give brainlist to anyone who at least answers
    15·1 answer
  • How can you add eight 6s together so that the total adds up to 750?
    13·2 answers
  • What is the initial value of the exponential function<br>shown on the graph<br> 0,1,2,4​
    5·2 answers
  • I need help I don’t understand the bracket
    6·2 answers
  • Line l and line k are perpendicular. Line l has a slope of 3. Line k contains the points (5, 8) and (2,
    10·1 answer
  • Simplify the expression (2d + 3) + (3d − 12).
    14·1 answer
  • 7. Factor Completely<br> (1 Point)<br> x^2– 25
    11·1 answer
  • Find the values of x and y??
    10·1 answer
  • Select all the properties of a right triangle.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!