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3 years ago

The length of a rope is 12.072 centimeters. Is this number rational or irrational why

Mathematics

2 answers:

lilavasa [31]3 years ago

7 0

12.072 is irrational because it cannot be simplified into a fraction or ratio.

N76 [4]3 years ago

3 0

12.072 is rational because it could simplify into fraction which is 12072/1000 or 6036/500 or 3018/250 or 1509/125. Hope it help!

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How many complete rotations will the bowling ball make if it rolls straight down the center of the entire length of the lane. A.

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<h3>Answer: C) 26 complete rotations</h3>

===========================================

Explanation:

The diameter of the ball is 8.5 inches. So d = 8.5

The circumference of the circle with this diameter is

C = pi*d

C = pi*8.5

C = 8.5pi

C = 26.7035375555132 approximately.

This is the rough distance it travels in one revolution or one full rotation.

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1 revolution = 26.7035375555132 inches

(1/26.7035375555132) revolution = 1 inch

1 inch = (1/26.7035375555132) revolution

1 inch = 0.03744822190398 revolution

There are 12 inches a foot, so,

1 inch = 0.03744822190398 revolution

12*1 inch = revolution

12 inches = 0.44937866284776 revolution

1 foot = 0.44937866284776 revolution

Now multiply both sides by 60

1 foot = 0.44937866284776 revolution

60*1 foot = 60*0.44937866284776 revolution

60 feet = 26.9627197708657 revolutions

Round down to the nearest whole number to get 26

We can't round to 27 even though we're really close to it. This is because we are looking for the number of whole revolutions the ball makes.

Therefore, 60 linear feet correspond to 26 full rotations of the ball. There's a bit leftover, but it's not enough to make another full rotation.

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What is the length of A

Marizza181 [45]

Step-by-step explanation:

Since the triangles are right angled and are similar,

by Pythagoras theorem,

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Topic: Pythagoras theorem

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

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2 years ago

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3 years ago