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3 years ago

1 mile bike ride and each rotation of the tire is 72 inches. How many rotations in a 1 mile trip?

Mathematics

1 answer:

ruslelena [56]3 years ago

4 0

72 inches is 6 feet, and there are 5280 feet in a mile, so you divide 5289 by 6 to get 880 rotations per mile

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

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3 years ago

Select the equivalent expressions for z divided by 144

Ivahew [28]

Answer:

A: 144/z

Step-by-step explanation:

Hopefully this helps!

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3 years ago

(X-3)^2=3 rational or irrational

const2013 [10]

I think it is irrational

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Scorpion4ik [409]

Answer:

exponential decay

Step-by-step explanation:

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3 years ago

A-2.5<br> 2a-22.7<br> a+1.3<br> 21.5<br> What’s a

rewona [7]

Answer:

2.4

Step-by-step explanation:

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3 years ago