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Trava [24]
4 years ago
5

The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each

shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).

Mathematics
1 answer:
USPshnik [31]4 years ago
3 0

Answer:

  (81 -20.25π) cm²

Step-by-step explanation:

The area of the 9 cm square is ...

  (9 cm)² = 81 cm²

The area of the 9 cm circle is ...

  (π/4)(9 cm)² = 20.25π cm²

The blue shaded region is the difference of these areas, so is ...

  shaded area = (81 -20.25π) cm²

You might be interested in
A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?
Feliz [49]

Answer:

4000 gm

Step-by-step explanation:

We can use ratios to solve

Change 8 m to cm

8m * 100cm/1m = 800 cm

6 cm             800 cm

-------------  = ------------

30 grams      x gm

Using cross products

6 * x = 800 * 30

6x = 24000

Divide by 6

6x/6 = 24000/6

x = 4000 gm

5 0
3 years ago
Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2
defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations 3x+2y=27  and 2x+y=16 is (5,6)

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

3x+2y=27 -----> equation A

2x+y=(27-11)

2x+y=16 ----> equation B

Solve the system of equations

Multiply the equation B by -2

-2(2x+y)=-2*16 ----->-4x-2y=-32 ------> equation C

Adds equation A and equation C

3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5

Substitute the value of x in the equation B

2(5)+y=16

10+y=16

y=6

The solution of the system of equations is the point (5,6)

so

The price of each burger is \$5

The price of each sandwich is \$6

6 0
3 years ago
Read 2 more answers
What is the value of x?
qaws [65]

Answer:

5

Step-by-step explanation:

6x+12 = 9x-3

3x = 15

x= 5

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=y%20%3D%204%287%29%20%7B7%7D%5E%7Bx%7D%20" id="TexFormula1" title="y = 4(7) {7}^{x} " alt="y =
jeyben [28]

Answer:

Step-by-step explanation:

8 0
3 years ago
60000/23/35767755x100000 whats the answer?
AlekseyPX

This would be a great question to just plug into a calculator. I'm sure you will find the answer quite easily if you use a calculator.

6 0
3 years ago
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