First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
You multiply the denominator on one side of the equation by the numerator and vice versa. So for example(S)I'm going to multiply 4 by nine and 3 times n. Then that comes out to 3n=36. After you multiply, you divide from both sides to get the variable by itself. So you would divide both sides by 3 and you're final answer would be n=13. Hope this helped!
Answer:
<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of times Bijan run around the neighborhood block = 20
Total distance Bijan run = 8 miles
Length of the block = 3/20 = 0.15 miles
2. Use the formula for the perimeter of the neighborhood block and the reciprocal to find the width w of the city block.
Let's find the perimeter of the neighborhood block and the width, this way:
A. Rule of Three Direct for find the perimeter:
Laps Distance
20 8 miles
1 x miles
x * 20 = 8
20x = 8
x = 8/20
x = 2/5 or 0.4 miles
B. Formula of the perimeter to find the width
Perimeter = 2 Length + 2 Width
Replacing with the real values we know:
0.4 = 2 * 0.15 + 2w
0.4 = 0.3 + 2w
0.4 - 0.3 = 2w
0.1 = 2w
w = 0.1/2
w = 0.05 miles
<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>
Answer:
y=-3/4x-3
Step-by-step explanation: