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Alja [10]
3 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]3 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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Line m is parallel to line n. The measure of angle 3 is 86. What is the
KatRina [158]

Answer:

C.94

Step-by-step explanation:

The alternate interior angle of angle c is angle 6. So from there you just subtract the 84 from the 180 to get the 94 degrees.

4 0
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Help please Draw an obtuse angle (labeled BIG) Place a point P inside the angle. Now construct perpendiculars form the point to
Mice21 [21]

Answer:

The side closest to P is the side that is on the same side of the angle bisector as P.

Step-by-step explanation:

The angle bisector is the line containing all the points equidistant from the sides of the angle. Points on one side of the angle bisector are closer to the angle side that is on that side of the angle bisector.

___

The attached diagram shows the angle bisector as a dashed line. A couple of different locations for P are shown (P1 and P2). Apparently, we're concerned here with the distance from P along the perpendicular to each side of the angle. For P2 (on the left side of the angle bisector), it may be clear that the left perpendicular is shorter than the right one. Likewise, for P1, the right perpendicular will be shorter.

6 0
3 years ago
Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round
olga55 [171]

Answer:

3053.63

Step-by-step explanation:

Use the equation for sphere volume: V=\frac{4}{3}\pi r^3

Plug the values in and get V=\frac{4}{3}\pi 9^3=3053.62805929

≈ 3053.63

Note: exact value of pi used.

8 0
2 years ago
Read 2 more answers
A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability th
krok68 [10]

Answer:

The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...

What is the probability that at least 5 people attend the meeting given that at least 2 attend?

The explanation of the answer is now provided as follows:

Given:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...                    (1)

Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.

Substituting x = 2 into equation (1), we have:

P(X = 2) = 1 / 2^(2 + 1)

P(X = 2) = 1 / 2^3

P(X = 2) = 1 / 8

P(X = 2) = 0.1250, or 12.50%

Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

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3 years ago
Serena was planning out her model railroad setup, and wants to be able to boast about it on her social media. She wants the cent
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Answer:4

Step-by-step explanation:

3 0
3 years ago
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