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Julli [10]
2 years ago
7

A tire in Jimmys garage travels 116.18 inches after one full rotation. What is the diameter of the tire?

Mathematics
2 answers:
mars1129 [50]2 years ago
8 0

Answer:

37 inches

Step-by-step explanation:

I did the math, hope this helps.

Advocard [28]2 years ago
6 0
It’s 37 rounded or if you want the full answer it’s 36.9812425768.

Explanation:
So 116.18 inches is the circumference and to find the diameter you divide the circumference by pi (3.14159265359).
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Answer:

D)50% of the temperatures are less than 77.5 degrees

Step-by-step explanation:

The correct amount of temperatures that are less than 77.5 degrees is 6/8, or 75%.  So D) is false.

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In the figure below, which angle pair is a pair of corresponding angles?
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Answer:

The graph of the function f(x)=\frac{1}{2}x^{2}-4x+5 has a minimum located at (4,-3)

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

f(x)=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex of the parabola

If a > 0 the parabola open upward and the vertex is a minimum

If a < 0 the parabola open downward and the vertex is a maximum

In this problem

The coefficient a must be positive, because we need to find a minimum

therefore

Check the option C and the option D

Option C

we have

f(x)=\frac{1}{2}x^{2}-4x+5

Convert to vertex form

f(x)-5=\frac{1}{2}x^{2}-4x

Factor the leading coefficient

f(x)-5=\frac{1}{2}(x^{2}-8x)

f(x)-5+8=\frac{1}{2}(x^{2}-8x+16)

f(x)+3=\frac{1}{2}(x^{2}-8x+16)

f(x)+3=\frac{1}{2}(x-4)^{2}

f(x)=\frac{1}{2}(x-4)^{2}-3

The vertex is the point (4,-3) ( is a minimum)

therefore

The graph of the function f(x)=\frac{1}{2}x^{2}-4x+5 has a minimum located at (4,-3)

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