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.
The least possible sum is 10.
The pairs of factors for 24 are (1,24), (2,12), (3,8), (4,6) with sums 25, 14, 11, 10. So the numbers are 4 and 6.
6+4
Step-by-step explanation:
The coefficient of the x term repesents the slope of the graph.
So we have y = 2x +- ( ).
We have to find our number term, so let's substitute x = 4 and y = 3.
(3) = 2(4) +- ( )
3 = 8 +- ( )
To make this right, the number term must be -5.
3 = 8 - 5
So the equation is y = 2x - 5.
Yes.
When you use distributive property in first expression you’ll get 4x +8y. The second expression just rearranged those two terms.
Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.
