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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

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four spheres of radius 6cm just fit inside a cylinder calculate the volume inside the cylinder that is empty leave your answers
Alekssandra [29.7K]

Answer:

The volume inside the cylinder is  1152\pi\ cm^3.

Step-by-step explanation:

Given : Four spheres of radius 6 cm just fit inside a cylinder.

To find : Calculate the volume inside the cylinder that is empty ?

Solution :

The volume of the cylinder is volume of 4 spheres.

The volume of sphere is V=\frac{4}{3}\pi r^3

The radius is 6 cm.

The volume of four spheres is

V=4\times \frac{4}{3}\times \pi\times (6)^3

V=1152\pi\ cm^3

Therefore, the volume inside the cylinder is  1152\pi\ cm^3.

8 0
3 years ago
Read 2 more answers
A vacuum cleaner costs £85
Vitek1552 [10]

Answer: £76.50

Step-by-step explanation:

You find 10% of 85 = 8.5

then you do £85-£8.50 = 76.50

7 0
3 years ago
PLEASE HELP
Dmitrij [34]
If the equation for volume is V=l*w*h, you can plug in all of the information you know. When you do this, the equation becomes 1440=15*12*h, or 1440=180*h (because 15*12=180). You can divide both sides by 180 to get h. 1440/180=8, do the depth of the pool is 8 ft. You can also check this answer by making sure that 15*12*8 is equal to 1440 (which it is). I hope this helped!
7 0
3 years ago
Solve the system of inequalities:<br> 6y≥42<br> 4y+12≤0
Hatshy [7]

Answer:

no solution

Step-by-step explanation:

6y≥42

Divide each side by 6

6y/6≥42/6

y≥7

Then solve the second one

4y+12≤0

Subtract 12 from each side

4y+12-12≤0-12

4y ≤-12

Divide each side by 4

4y/4 ≤-12/4

y ≤-3

There is no solution since there is no overlap

8 0
3 years ago
What are the dimensions of the cross section formed by
saw5 [17]

Answer:

rectangle, 5,4

Step-by-step explanation:

i just did the assignment and got it right

4 0
3 years ago
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