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Nikolay [14]
3 years ago
10

Find the volume of a cylinder with height 14.7 cm and diameter 10.5 cm.

Mathematics
1 answer:
velikii [3]3 years ago
5 0

Hello!

The volume of a cylinder is found by using the formula: V = πr²h.

The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.

R = 10.5 / 2

R = 5.25 centimeters

With that radius and the height, we can find the volume of the cylinder.

V = π(5.25)²(14.7)

V = 27.5625(14.7)π

V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)

Therefore, the volume of this cylinder is 1272.88 centimeters³.

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Triangle ABC has sides with lengths of 11, 18, and 8 units. Determine whether this triangle is a right triangle.​
Arturiano [62]

Answer:

Not a right triangle.

Step-by-step explanation:

If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, a^2+b^2=c^2, so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal: 8^2+11^2=18^2. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that 64+121=324 according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.

3 0
2 years ago
Referring to the Fig. in Question #42, give the coordinates
iragen [17]

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.

The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.

  (x, y) = (0, -3)

_____

  U(-5, 0)

  V(-3, 3)

  W(5, 5)

  X(-4, -5)

  Y(0, -3)

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It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.

4 0
2 years ago
The probability that a house in an urban area will develop a leak is 6%. If 10 houses are randomly selected, what is the probabi
jeka57 [31]
9.4 is the answer because 6% of 10 is .6 and you do 10-0.6
6 0
2 years ago
jimmy is moving to a new apartment. he fills a box with 4 books, 5 DVDs, and 2 CD's. when he starts unpacking his new place he p
pav-90 [236]

Answer:

\frac{2}{11}

Step-by-step explanation:

First, find the probability of him pulling out a book.

There are 11 objects in total, and there are 4 books.

So, the probability of pulling out a book is \frac{4}{11}

Next, find the probability of him pulling out a DVD after.

Since a book was taken out, there are only 10 objects left. There are 5 DVDs.

So, the probability of pulling out a DVD is \frac{5}{10}, or simplified to \frac{1}{2}

To find the probability that this happens in order, multiply the probabilities:

\frac{4}{11} x \frac{1}{2}

= \frac{2}{11}

So, the probability is \frac{2}{11}

7 0
3 years ago
I've been stuck on this for a long time. I would greatly appreciate help.
choli [55]
The vertex is (8,7)
the minimum value is 7
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i hope this helps!
7 0
3 years ago
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