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Alja [10]
4 years ago
8

If your friend leaves your house at a speed of 8mph and two hours later you follow in your car at 40mph, how long will It be bef

ore you catch up to your friend? How far did you both travel?
Mathematics
1 answer:
dusya [7]4 years ago
3 0

Answer:

  • 1/2 hour
  • 20 miles

Step-by-step explanation:

Your friend has a head start of (2 h)×(8 mi/h) = 16 mi.

When you leave, you gain on your friend at the rate of 40 mph - 8 mph = 32 mph. So, it will take ...

  (16 mi)/(32 mi/h) = 1/2 h

for you to reduce the distance between you to zero.

In that 1/2 hour, you have traveled ...

  (1/2 h)×(40 mi/h) = 20 mi

__

This is the same distance your friend has traveled in 2.5 hours at 8 mi/h.

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A

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3 years ago
These two trapezoids are similar What is the correct way to complete the similarity statement?
pentagon [3]

Option A:

\mathrm{ABCD} \sim \mathrm{GFHE}

Solution:

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To determine the correct way to tell the two trapezoids are similar.

Option A: \mathrm{ABCD} \sim \mathrm{GFHE}

AB = GF (side)

BC = FH (side)

CD = HE (side)

DA = EG (side)

So, \mathrm{ABCD} \sim \mathrm{GFHE} is the correct way to complete the statement.

Option B: \mathrm{ABCD} \sim \mathrm{EGFH}

In the given image length of AB ≠ EG.

So, \mathrm{ABCD} \sim \mathrm{EGFH} is the not the correct way to complete the statement.

Option C: \mathrm{ABCD} \sim \mathrm{FHEG}

In the given image length of AB ≠ FH.

So, \mathrm{ABCD} \sim \mathrm{FHEG} is the not the correct way to complete the statement.

Option D: \mathrm{ABCD} \sim \mathrm{HEGF}

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So, \mathrm{ABCD} \sim \mathrm{HEGF} is the not the correct way to complete the statement.

Hence, \mathrm{ABCD} \sim \mathrm{GFHE} is the correct way to complete the statement.

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3 years ago
Find the measure of the central angle that you would draw to represent 15% in a circle graph. Round to the nearest degree. 24° 1
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15 out of 100 of 360°=15/100×360=54° ans. hope it will help you!
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