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natali 33 [55]
3 years ago
5

V = √ 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when sudde

nly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 108 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.
Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Answer:

46.5 miles per hour

Step-by-step explanation:

Given that :

Speed of A car v in miles per hour based on length L in feets ;

V = √(20L)

Skid mark (L) = 108 feets

V = √(20 * 108)

V = √2160

V = 46.475800 miles per hour

V = 46.5 mph

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Let N be the universal set and A, B, C, D be its subsets given by A={x:xisaevennaturalnumber},B={x:xNandxisamultipleof3} C={x:x
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Answer:

A^{'} = {1,3,5,7,9,....}

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Step-by-step explanation:

Solution:

It is given that, Universal set is the set of all Natural Numbers.

and

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A = {x:x is even natural numbers} = {2,4,6,8,10,.....}

B = {x:x ∈ N and x is a multiple of 3} = {3,6,9,12,15,....}

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U = {1,2,3,4,5,6,7,8,9,10,11,........}

Complements:

A^{'} = U-A = {1,2,3,4,5,6,7,8,9,10,11,........} - {2,4,6,8,10,.....}

A^{'} = {1,3,5,7,9,....}

B^{'} = U-B =  {1,2,3,4,5,6,7,8,9,10,11,........} - {3,6,9,12,15,....}

B^{'} = {1,2,4,5,7,8,10,11,13,14......}

C^{'} = U-C = {1,2,3,4,5,6,7,8,9,10,11,........} - {6,7,8,9,10,.....}

C^{'} = {1,2,3,4,5}

D^{'} = {1,2,3,4,5,6,7,8,9,10,11,........} - {1,2,3,4,5,6,7,8,9}

D^{'} = {10,11,12,13,14,15,......}

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