Solve for r: ¾ r = 12 *

Katena32 [7]

Answer:

Have no idea..

8 0

2 years ago

A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each

Nadya [2.5K]

Answer:

$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

4 0

2 years ago

6) A bag contains 4 red marbles, 3 green, 5 blue. Someone offers you a game : If you pick red marble you win $4, if blue loose $

fomenos

Answer:

11

Step-by-step explanation:

i just need 11 more than ill be fine

3 0

2 years ago

Find the greatest common factor

Lerok [7]

Answer:

(3b + 4) is the greatest common factor

Step-by-step explanation:

$3b(2b- 3)+4(2b-3) = 0 \\ {6b}^{2} - 9b + 8b - 12 = 0 \\ {6b}^{2} - b - 12 = 0 \\ {6b}^{2} - 9b + 8b - 12 = 0 \\ 3b(2b - 3) + 4(2b - 3) = 0 \\ (2b - 3)(3b + 4) = 0$

5 0

3 years ago

Explain your work !!!! What is 17^3 A. 20 B. 4913 C. 51 D. 306

Travka [436]

A number raised to an exponent is that number multiplied by itself that number of times.

17^3 = 17 x 17 x 17 = 4913

The answer is B.

4 0

2 years ago

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