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valentinak56 [21]
3 years ago
6

The tires on your bicycle have a radius of 14 inches. How many rotations does each tire make when you travel 900 feet? Round you

r answer to the nearest whole number..
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0

Around  150 rotations

I rounded the radius to feet which is 1 foot. Then you have to get the diameter which is 1x2=2. The diameter is 2 feet. Now for the circumference, we multiply 2 by 3.14(which is pi). The answer to that is 6.28, and since we are rounding it, we get 6 feet. However, we are traveling 900 feet. Divide 900 by 6 and get 150.

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4 0
2 years ago
Find the values of x and y​
alexandr1967 [171]

Hello from MrBillDoesMath!

Answer:

x = 5 * sqrt(2)

5 = y

Discussion:

First thing: the hypotenuse is the side opposite the right (90 degree) angle. So it is side x NOT side y as shown in your diagram.  

The triangle is a 45-45-90 triangle so

tan(45) = y/5            => as tan(45) = 1

1 = y/5                      => multiply both sides by 5

5 = y

If you don't care for the trig approach, since it's a 45-45-90 triangle the length of the legs are that same, i.e y = 5

Also sin(45) = y/x    => as y = 5

sin(45) = 5/x            => as sin(45) = sqrt(2)/2

sqrt(2)/2 = 5/x         => multiply bot sides by x

x* sqrt(2)/2 = 5/x * x = 5   =>

x* sqrt(2)/2 = 5         => divide both sides by sqrt(2)/2

x = 5 * (2/sqrt(2))

x = 5 * sqrt(2)

Or if you don't care for the trig approach, simply apply the Pythagorean theorem ( 5^2 + 5^2 = x^2) and solve for x

Thank you,

MrB

6 0
4 years ago
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