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
Novay_Z [31]
3 years ago
14

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 i

n any formulas used

Mathematics
1 answer:
seropon [69]3 years ago
7 0

Answer:

Perimeter = 65.12 in

Area = 292.48 in^2

which agrees with the second answer choice

Step-by-step explanation:

The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches  (which is pi * radius = 3.14 * 8 = 25.12 in)

Then the total perimeter is:

Perimeter = 40 in + 25.12 in = 65.12 in

The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).

Therefore the total area is:

Area = 192 + 100.48  = 292.48 in^2

You might be interested in
What is the answer to -7(k+9)=9(k-5)-14k
laiz [17]
The answer to <span>-7(k+9)=9(k-5)-14k is 
k = -9


</span>-7(k+9)=9(k-5)-14k
Use the distributive property to distribute the -7 to (k+9) and 9 to (k-5)
-7(k+9)=9(k-5)-14k
-7k - 63 = 9k - 45 - 14k
Now lets get all our constants on one side of the equal sign and all our terms such as 9k and 4k on a side by their self
-7k - 63 = 9k - 45 - 14k
-7k - 63 + 45 = 9k - 45 + 45 - 14k
-7k - 18 = 9k - 14k
Now lets get that -7k on the right side
-7k + 7k - 18 = 9k - 14k + 7k
-18 = 9k - 14k + 7k
Now lets do the math for 9k - 14k + 7k and solve for k
-18 = 9k - 14k + 7k
-18 = 2k
-18 / 2 = 2k / 2
-9 = k
k = -9

8 0
3 years ago
Andrea opened a savings account with $1,750 she received for graduation. The account pays 4.3% simple interest. What is the bala
Schach [20]

Answer:

$1787.625

Step-by-step explanation:

We first determine the interest earned in 6 months time using the simple interest formula;

I=\frac{PRT}{100}\\I=\frac{1750*4.3*0.5}{100}\\I=37.625

The balance in the account will be;

1750 + 37.625 = $1787.625

5 0
4 years ago
Is a triangle with side lengths of 33 inches, 56 inches, and65 inches a right triangle? Explain your reasoning.
worty [1.4K]

Answer:

Yes

Step-by-step explanation:

Pythagorean's Theorum is that a^2 + b^2 = c^2

a and b are the sides of the triangle and c is the hypotenuse. 33x33+56x56=4225 sqrt4225 is 65. Everything checks out.

3 0
3 years ago
How does changing the function from f(x) = −5 cos 2x to g(x) = −5 cos 2x − 3 affect the range of the function?
Alla [95]
The graph has been moved 3 units downward, making the range change. The range of f(x) is [-5,5], while the range of g(x) is [-8,2]. The picture is of both functions. f(x) is blue, g(x) is red.

6 0
3 years ago
Read 2 more answers
Answer ASAP<br><br><br><br> Find the area of each sector. Round your answer to the nearest tenth
olga55 [171]
3.14*18/4= 14.13
14.1 is your answer
7 0
4 years ago
Read 2 more answers
Other questions:
  • In 2004,there were 320 endangered mammals in the world about 75% of these mammals reside outside of the United States.about how
    12·1 answer
  • Penelope is making cards for her family members. she completed 9/16 of the cards on Monday and 2/16 of the cards on Tuesday what
    11·1 answer
  • Estimate 13.96 x 6.2
    7·1 answer
  • find the area of a parallelogram if a base and corresponding altitude have the indicated lengths base 1 1/2 feet , altitude 6 in
    5·1 answer
  • Combine like radicals to get your answer. <br><br> image attached
    12·1 answer
  • 3 mph
    10·1 answer
  • Help me pls pls pls ​
    11·1 answer
  • Type 900 words in 15 min how many words permin
    8·2 answers
  • Please answer correctly! I will mark you as brainliest!
    9·1 answer
  • -12 increased by half of a number is 28. What is the number
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!