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bija089 [108]
3 years ago
10

A runner can run 2 miles in 14 minutes. At this rate, how many miles can he run in 70 minutes?

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

The answer is that the runner can run 10 miles in 70 minutes.

Step-by-step explanation:

To solve for the number of miles that the runner can run in 70 minutes, start by setting up the information given from the problem in the form of a proportion.

A proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In a proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The proportion for this problem will look like \frac{2 miles}{14 minutes}=\frac{x}{70  minutes}. (x) will be used as the variable for the number of miles that the runner can run in 70 minutes.  

To solve the proportion, start by cross multiplying to form an equation, and the equation will look like (14)(x)=(2)(70). Next, simplify the equation, which will look like (14)(x)=140. Then, solve the equation by dividing both sides of the equation by 14, and it will look like x=10. The final answer is that the runner can run 10 miles in 70 minutes.

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Svetlanka [38]
Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle

Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a

Explanation of problem:

sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that

since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

{ \sin}^{ - 1} (\frac{16cm}{28cm})
x = sin^-1 (16cm/28cm)

Answer:

x = 34.84990458°

I don't know how far rounded you'll need it
I hope this helped!
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3 years ago
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kondor19780726 [428]

Aaron is 4 years and Maria is 14 years old.

A = Aaron's age today

M = Maria's age today.

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Read related link on:

brainly.com/question/22866879

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