Adrian built a structure out of 10 congruent cubes. If each cube has a volume of 8 cu. centimeters, what is the totalvolume of the structure?
10 cubic centimeters
© 80 cubic centimeters
120 cubic centimeters
© 64 cubic centimeters

Final answer:

The Donaldson swimming pool has a volume of 15 meters * 8 meters * 3 meters, which equals 360 cubic meters. Therefore, it can hold 360 cubic meters of water.

Explanation:

To find out how many cubic meters of water Donaldson's swimming pool will hold, we have to calculate the volume of the pool. The volume of a rectangular prism (which is a good model for this swimming pool) is found by multiplying the length by the width by the height. In this case, the length is 15 meters, the width is 8 meters, and the depth (which is effectively the height for this calculation) is 3 meters.

So, the calculation is: 15 meters * 8 meters * 3 meters = 360 cubic meters.

Therefore, Donaldson's swimming pool will hold 360 cubic meters of water when filled.

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Answer:

Step-by-step explanation:

If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles.  Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.  

Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse.  That means that, according to Pythagorean's Theorem,

and

and

Now for the forula for the sin of a half-angle:

Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is

Filling in the formula then:

Get a common denominator on the upper fraction:

Bring up the 2 as 1/2 to multiply and get:

When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical.  That gives you as your exact value:

The unit rate of 600 miles in 7 hours is 85.71 miles per hour.

Given that, distance= 600 miles and time= 7 hours.

What is the unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Here unit rate is

Speed =Distance/Time

= 600/7

= 85.71 miles per hour

Therefore, the unit rate of 600 miles in 7 hours is 85.71 miles per hour.

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Answer:

24 times

Step-by-step explanation:

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