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svetoff [14.1K]
3 years ago
7

this year the winner of the New York Marathon ran the 8 km event in 24 minutes what is the runners unit rate

Mathematics
1 answer:
yan [13]3 years ago
7 0
1 km every 3 minutes
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mt. whitney in california is 14,494 feet tall. denali in alaska is 5,826 feet taller that mt. whitney. how tall is denali?
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Denali is 20,320 feet tall
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3 years ago
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At a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The d
kherson [118]

Answer:

dh/dt=9.82x10^-3 ft/min

Step-by-step explanation:

1. You have that the rate is10 ft³/min. Then:

dV/dt=10

2. The formula for calculate the volume of a cone, is:

V=1/3(πr²h)

"r" is the radius and "h" is the height.

3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:

r=diameter/2

diameter=3h

r=3h/2

4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:

V=1/3(πr²h)

V=1/3(π(3h/2)²(h)

V=1/3(π9h²/4)(h)

V=9πh³/12

5. Therefore:

dV/dt=(9πh²/4)dh/dt

h=12

dV/dt=10

6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:

dV/dt=(9π(12)²/4)dh/dt

10=(1017.876)

7. Finally, you obtain:

dh/dt=10/1017.876

dh/dt=9.82x10^-3 ft/min

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3 years ago
Find the measure of each interior angle in a regular 18-gon
EastWind [94]

Answer:

A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.

Step-by-step explanation:

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Tyler.

Step-by-step explanation:

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Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property.
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Answer:

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

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