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11Alexandr11 [23.1K]
2 years ago
8

Just need help, can't remember how to solve it.​

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0
This should help I even showed my work

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Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice
MA_775_DIABLO [31]

Answer:

Accelerating to top speed, deaccelerating to finish line.

Step-by-step explanation:

If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:

d=11*\frac{32}{60}\\d= 5.87\ mi

This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.

3 0
3 years ago
A company rents water tanks shaped like cylinders. Each tank has a diameter of 8 feet and a height of 3 feet. The cost is $5 per
BARSIC [14]

Answer:

$754.05

Step-by-step explanation:

We have to find the volume of one tank and multiply it by the cost of renting the tank per cubic foot.

The volume of a cylinder is:

V = \pi r^2h

where r = radius

h = height

Each tank has a diameter of 8 feet (radius = 4 feet) and a height of 3 feet.

The volume of the tank is therefore:

V = \pi * 4^2 * 3 = 150.81 ft^3

The cost of renting is $5 per cubic foot.

Therefore, the cost of renting a tank is:

150.81 * 5 = $754.05

It costs $754.05 to rent a tank.

4 0
4 years ago
Which of the following equations do not represent a proportional relationship?
Dmitry [639]
The correct answer for the question is y=x
5 0
3 years ago
Greatest common factor of 15c^2 and 25n
shtirl [24]

Answer: 5

Step-by-step explanation:

The greatest common factor of 15c^2 and 25n is 5 because if you divid the two numbers by 5, they will both be in their primal state.

15c^2 / 5 = 3c^2

25n / 5 = 5n

6 0
3 years ago
What is the area of the composite figure? ___ units^2
elena-14-01-66 [18.8K]

Answer:

  34 square units

Step-by-step explanation:

The figure can be considered to be a trapezoid with a rectangle removed.

The area of the trapezoid is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(10 +6)(5) = 40

The area of the rectangle is ...

  A = LW

  A = (3)(2) = 6

Then the area of the shaded portion of the figure is ...

  shaded area = trapezoid area - rectangle area

  = 40 - 6 = 34 . . . square units

7 0
3 years ago
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