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Dvinal [7]
3 years ago
15

Find the length of the hypotenuse of a right triangle with legs of lengths 12 ft and 16 ft answer

Mathematics
1 answer:
Finger [1]3 years ago
8 0
Use Pythagorus theorem: 

a²+b²=c²
(12)²+(16)²=c²
400=c²
√400=c 
20=c 

Therefore, the hypotenuse would be 20 ft. 

Hope I helped :) 
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Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

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Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area  / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

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