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
pizza area = pi*(7)² = 153.86 square inches
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.
Answer:
270 words per minute
Step-by-step explanation:
It is given 180 words in 2 minutes, this means Toni can type 180/2 = 90 words per minute (90wpm).
Thus, in the same ratio/rate, Toni would be able to type:
90 * 3 = 270 words per minute.
Correct answer 270 wpm
10 cheese pizzas
use simple ratio, 3:2 (3 pepperoni for every 2 cheese)
to make the ratio bigger, we substitute the "3" pepperoni for "15" pepperoni. then take the new amount, 15/3 original, you get 5. then multiply the 2 original cheese pizzas by that 5, and you get 10 cheese pizza's.
hope that helps
6.9
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Answer:
z = 6
Step-by-step explanation:
