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:
Step-by-step explanation:
Given
Required
Represent the width as an inequality
First, we represent the area as an inequality.
max as used above means less than or equal to.
So, we have:
The area of a rectangle is:
So, we have:
Substitute 10 for L
Divide both sides by 10
Step-by-step explanation:
last week there were 19+30+77 = 126 customers.
19/126 = 1/14 paid cash.
30/126 = 5/21 paid by debit card.
77/126 = 11/18 paid by credit card.
next week he expects 1800 customers.
that is compared to 126 a factor of
1800/126 = 300/21 = 100/7
now we actually only need to apply the same factor to any part of the total sum to get their share in the new total sum.
it simply follows the rule
(a + b + c) × d = ad + bd + cd
so,
77 × 100/7 = 11 × 100 = 1100 customers are expected to pay per credit card.
This is simple simplifying. If you need an explanation dm me.
here is the answer
x=-5
You can use Substitution to solve this problem:
4x-y=20
-y=-4x+20
y=4x-20
Now you have two equations, and you use the first one to substitute into the second one.
y=4x-20 and -2x-2y=10
-2x-2(4x-20)=10
-2x-8x+40=10
-10x+40=10
-10x=-30
-x=-3
x=3
Now that we have figured out what x is, we can substitute x in to one of the equations to figure out y.
4x-y=20 x=3
4(3)-y=20
12-y=20
-y=8
y=-8
<em><u>So your answer would be x=3 and y=-8</u></em>
