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
What is log15 2^3 rewritten using the power property?
OlgaM077 [116]

ANSWER

log_{15}( {2}^{3} )  = 3 \: log_{15}( {2} )

EXPLANATION

According to the power property of logarithms:

log_{x}( {y}^{n} )  = n \: log_{x}( {y} )

The given logarithm is

log_{15}( {2}^{3} )

When we apply the power property to this logarithm, we get,

log_{15}( {2}^{3} )  = 3 \: log_{15}( {2} )

8 0
4 years ago
Read 2 more answers
How many minutes in the hour does Fatima spend exercising? A 10 minutes B 20 minutes C 30 minutes D 40 minutes
xxMikexx [17]

Answer:

40

Step-by-step explanation:

5 0
3 years ago
Is this true or false?
pishuonlain [190]
It is trueee....... hope this helps
8 0
3 years ago
A government agency has specialists who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted
mylen [45]

let n be the number of times letter be found (1800), p be the success rate (0.068), and q be the failure rate (1 - 0.068 = 0.932)  

mean = np = 1800 x 0.068 = 122.4  

standard deviation = √(npq) = √(1800 x 0.068 x 0.932) = 10.6807414

4 0
3 years ago
Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or
lisabon 2012 [21]

Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

<u>Simple Interest</u>

In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.

We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

I=A.r.t

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

r=3.25/100=0.0325

The interest is then calculated:

I=12,000\cdot 0.0325\cdot 8=3,120

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0
3 years ago
Other questions:
  • I need help ASAP answers 0.5<br> 8<br> 40<br> 45
    14·1 answer
  • I NEED AN ANSWER PLEASE ASAP! Write the equation of the horizontal line passing through (7, 4).
    9·2 answers
  • Cheryl and Marcus are going to make 2 batches of muffins. the smaller batch is 2/3 the size of the larger batch. the recipe for
    12·2 answers
  • HELP PLEASE!!!<br><br> Polygon ABCD is a rectangle what is the area
    8·2 answers
  • Talil is going to make some concrete mix.
    5·1 answer
  • The length of the rectangle is three times its width.The perimeter of the rectangle is at most 112 cm .
    11·1 answer
  • Lines c and d are parallel. Parallel lines c and d are cut by transversals s and t. Clockwise from top left, the angles formed b
    14·1 answer
  • Help ASAP. Identify at least two ordered pairs to the solutions of the system
    11·1 answer
  • Solve the equation with special factors. (Please show all steps) <br> 4p^4 - 25p^2 = -16p^2
    13·2 answers
  • Can some one help me do this question <br> just give me e and f
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!