How many revolutions will a car wheel of diameter 26 in. make as the car travels a distance of one mile? (round your answer to the nearest whole

776 revolutions per mile

Step-by-step explanation:

First we need to find the Circumference of the wheel.

Formula for circumference = πD

Where D = Diameter of the car wheel = 26 inches

Circumference of the car wheel = π × 26

= 81.68 inches

We have to find, how many inches make 1 mile.

1 mile = 63360 inches.

To determine the number of revolutions a car wheel of diameter 26 inches will travel,

= 63360 inches ÷ circumference of the car wheel

= 63360 inches ÷ 81.68inches

= 775.71 revolutions per mile

To the nearest whole number = 776 revolutions per mile.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.