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3 years ago

Convert 290 degrees to radians

1 answer:

6 0

$\pi\ radians=180\ degrees
$
To convert degrees to radians, divide by 180 and multiply by pi.
$\frac{290}{180}\times \frac{\pi}{1}=1.61\pi$

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The larger of two numbers is four more than the smaller. if the larger is x what is the smaller?

Lelu [443]

Answer:

x-4

Step-by-step explanation:

Since the larger of two numbers is four more than the smaller one, this means that there is a difference of 4 between the two numbers. In order to find the smaller of both numbers, you can obtain the smaller from the largest by subtracting 4.

4 0

3 years ago

If a cone is 5 meters tall and has a radius of 3 meters, What is its volume? 15π m3 60π m3 45π m3 30π m3

nydimaria [60]

Answer:

V = 15 pi m^3

Step-by-step explanation:

The volume of a cone is

V = 1/3 pi r^2 h

The radius is 3 and the height is 5

V = 1/3 pi ( 3)^2 *5

V = 15 pi m^3

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3 years ago

A store has 3,456 books.Each box has 9 books. How many boxes do they need to sell all the books?

Artist 52 [7]

<h2>They need 384 boxes </h2><h3>All you gotta do is divide </h3>

8 0

3 years ago

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sertanlavr [38]

That would be a unique triangle

8 0

3 years ago

An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same

Andru [333]

General Idea:

The volume of cylinder is given by $\pi r^{2} h$ , where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder $=\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}$

Volume of half cylinder $=\frac{576\pi }{2} =288\pi cm^{3}$

Step 2: Let x be the number of minutes of filling the sand.

$6 cm^{3}$ of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute $= 6*4 cm^{3} = 24 cm^{3}$ .

$8 cm^{3}$ of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute $=24 cm^{3} - 8cm^{3}=16cm^{3}$

Volume of sand filled in x minutes $= 16x$ .

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

$16x = 288\pi \\ \\ x=\frac{288\pi}{16} \\ \\ x=18\pi \\ \\ x=57 minutes$

Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0

4 years ago