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faltersainse [42]
3 years ago
12

Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each

other along the trail at 8:00 a.M. With a plan to have a picnic when they meet. Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour. After one hour, how far apart will they be?
Mathematics
1 answer:
vivado [14]3 years ago
3 0

Answer:

They would be 44.6 miles apart

Step-by-step explanation:

Here, we want to calculate how far they will be in 1 hour

Mathematically;

Distance = speed * time

In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles

While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles

Now, we want to calculate how far apart they would be

On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end

On the 24 miles Claire would be at a distance of 20.6 miles

So how far apart they would be is

24 miles + 20.6 miles = 44.6 miles

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4 years ago
Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
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Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
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Then, you can use Pythagorean theorem:

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