12.5 x n = 32 (solve for n plz, thanks!!)

Mathematics

1 answer:

julia-pushkina [17]3 years ago

4 0

Answer:

n=2.56

Step-by-step explanation:

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A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the dia

Anettt [7]

Answer:

d = 13.8 feet

Step-by-step explanation:

Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is

$V=\pi r^2h$

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:

$6000=(3.141592654)(r^2)(40)$

Simplify on the right to get

$6000=125.6637061r^2$

Divide both sides by 125.6637061 to get that

$r^2=47.74648294$

Taking the square root of both sides gives you

r = 6.90988299

But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8

5 0

4 years ago

The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how

vladimir2022 [97]

Answer:

$225\:\text{minutes}$

Step-by-step explanation:

To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.

In 10 minutes, the junior senator can complete $\frac{10}{50}=\frac{1}{5}$ of the labyrinth.

In 10 minutes, the senior senator can complete $\frac{10}{30}=\frac{1}{3}$ of the labyrinth.

Therefore, working together, they can complete $\frac{1}{5}+\frac{1}{3}=\frac{8}{15}$ of the labyrinth in 10 minutes. Thus, it will take them $\frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes}$ to complete one labyrinth.