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nalin [4]
2 years ago
12

The radius on a certain. Goodrich tire is 34 inches to the nearest inch how far will the tire have traveled In 3 revolutions

Mathematics
1 answer:
myrzilka [38]2 years ago
5 0

Answer:

640.968 inches

Step-by-step explanation:

Given data

Radius= 34in

The expression for the circumference is

C= 2πr

substutite

C= 2*3.142*34

C= 213.656

This means that in 1 revolution the tire will travel 213.656 in

Hence in 3 revolutions it will travel

=213.656*3

=640.968 inches

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Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.
Vanyuwa [196]

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

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6 0
1 year ago
Factorise fully 21x² +25x =4​
Vitek1552 [10]
X= 1/7, -4/3
________
6 0
2 years ago
Please help idk nothing
Rainbow [258]
Convert 9 1/2 into a mixed fraction: 19/2.
Now, multiply with 6 which in fraction form is 6/1
19/2 times 6/1 equals 114/2

Now you can divide 114/2 which is 57 inches squared.

Have a good day ! :)
7 0
3 years ago
rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t
ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

y=h+ut+\frac{1}{2}at^2

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

a=g=-9.8 m/s^2 is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

11=23+27t-4.9t^2\\4.9t^2-27t-12=0

This is a second-order equation, which has solutions:

t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}

So

t_1 = -0.41 s

t_2=5.92 s

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

brainly.com/question/1748290

brainly.com/question/11042118

brainly.com/question/2455974

brainly.com/question/2607086

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8 0
3 years ago
John has a piece of string that is 634 inches long, and Kerry has a piece of string that is 712
omeli [17]

Answer:

¾

Step-by-step explanation:

Length of Kerry string = 7(½) = 15/2

Length of John string = 6(¾) = 27/4

15/2 - 27/4

30 - 27/4

3/4

4 0
3 years ago
Read 2 more answers
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