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:
Its an Arithmetic progression
Step-by-step explanation:
d1= -18-(-25)= 7
d2= -11-(-18)= 7
d1 = d2
r1 = -18/25=0.72
r2 = -11/-8= 0.611
r1 isnt = r2
Answer:
idk you tell me
Step-by-step explanation:
1. you should tell me
2. i write the answer when you tell me
The way it's written it's
Simplify the following:
7 X^3 + 4 X^2 + 2 X^2 + 3 X + X + 2 + 5
Grouping like terms, 7 X^3 + 4 X^2 + 2 X^2 + 3 X + X + 2 + 5 = 7 X^3 + (4 X^2 + 2 X^2) + (3 X + X) + (2 + 5):7 X^3 + (4 X^2 + 2 X^2) + (3 X + X) + (2 + 5)
4 X^2 + 2 X^2 = 6 X^2:
7 X^3 + 6 X^2 + (3 X + X) + (2 + 5)
3 X + X = 4 X:
7 X^3 + 6 X^2 + 4 X + (2 + 5)
2 + 5 = 7:Answer: 7 X^3 + 6 X^2 + 4 X + 7
Answer:
A. 15
Step-by-step explanation:
To solve this you need to compare the lengths given to you in the question statement.
Because the lines originate from a single point, they're like triangles. We can easily see a triangle AGF and a triangle ADE, right?
Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.
They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.
So, A F = 16, A E = 20 (16 + 4), A G = 12.
Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:
So, A D = (A G * A E)/A F
A D = (12 * 20) / 16 = 15
