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barxatty [35]
3 years ago
12

Eric lives 21 miles away from where he works. After leaving his workplace, he drives at a constant speed of 42 miles per hour fo

r 12 minutes. If Eric continues driving at this speed, how many more minutes will it take him to reach home?
Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0
He's driving 42mph. 42m/60h=0.7mpm. 12 minutes x 0.7 mile per minute= 8.4 miles.  21-8.4=12.6 miles left .  12.6 x 0.7= 8.86 minutes left or about nine
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What is the height of an equilateral triangle if the sides are 10
4vir4ik [10]

Answer:

The height of the equilateral triangle is 5\sqrt{3}\ units

Step-by-step explanation:

we know that

An equilateral triangle has three congruent sides, and three congruent angles that each measure 60 degrees

To find out the height of an equilateral triangle, apply the Pythagoras Theorem in the right triangle ABD

Remember that the height of an equilateral triangle bisects the base.

see the attached figure to better understand the problem

AB^2=AD^2+BD^2

substitute the given values

10^2=5^2+BD^2

Solve for BD

100=25+BD^2

BD^2=100-25

BD^2=75

BD=\sqrt{75}\ units

simplify

BD=5\sqrt{3}\ units`

therefore

The height of the equilateral triangle is 5\sqrt{3}\ units

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4 years ago
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yanalaym [24]

The ratio of AB to AC and the ratio of AD to DC is 1 : 2 each respectively. They are equivalent ratios.

<h3>Ratios and proportions</h3><h3 />

A ratio means a comparison of two different quantities while proportion is an equality of two ratios.

  • AB = 5 in
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Ratio of AB to AC = 5 in : 10 in

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Ratio of AD to DC = 4 in : 8 in

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Therefore, the ratio of AB to AC and the ratio of AD to DC is 1 : 2 each respectively. They are equivalent ratios.

Learn more about ratios and proportions:

brainly.com/question/12024093

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3 0
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Pepsi [2]

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<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

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