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Semenov [28]
4 years ago
7

Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to t

he nearest tenth of a cubic foot.
Mathematics
1 answer:
guapka [62]4 years ago
4 0

Answer:

Volume of the cone= 425.07feet^3

Step-by-step explanation:

Volume of a right circular cone:

                              \frac{1}{3} *\pi *r^2*h

For,     height(h)= 4.5 feet

Diameter= 19 feet

Radius(r)= 19/2= 9.5 feet

As, \pi =\frac{22}{7}=3.14

Volume of the cone :

                               =\frac{1}{3} *3.14*(9.5*9.5)*4.5\\\\=\frac{1}{3}*3.14* 90.25*4.5\\\\=\frac{1}{3} *3.14*406.125\\\\=\frac{1275.23}{3}\\\\ =425.07feet^3

The volume of the cone with given dimensions is 425.07feet^3

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A claw arcade machine contains stuffed animals and mystery boxes. There are 51 items in the machine. Winning a stuffed animal ha
Oliga [24]
Answer: 34 stuffed animals & 17 mystery boxes.

First off, split 51 into three parts, trying to find how much 1/3 is of 51. It equals 17.

The stuffed animals in the machine are “twice as much” of the mystery boxes, so you need to multiply 17 x 2 to find the amount of stuffed animals.

17 x 2 = 34

As for the mystery boxes, you need to multiply it by one.

17 x 1 = 17.

In summary, the answer is 34 stuffed animals and 17 mystery boxes.
4 0
3 years ago
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32
zavuch27 [327]

Hypotenuse =39cm of right angle triangle! .

<u>Step-by-step explanation:</u>

Here we have , A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32  centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the  length of the hypotenuse is 7.5 centimeters. We need to find:

A)

We have , One length as 32 cm and other as 25 cm , as

Perpendicular = 32cm\\Base=25cm

By Pythagoras Theorem ,

⇒ Hypotenuse^2 = Perpendicular^2+Base^2

⇒ Hypotenuse^2 =32^2+22^2

⇒ \sqrt{Hypotenuse^2} =\sqrt{1024+484}

⇒ Hypotenuse =39cm

So , Hypotenuse =39cm of right angle triangle! .

4 0
4 years ago
Read 2 more answers
2x + 1=4x-3 solve for x
loris [4]

Answer:

x = 2

Step-by-step explanation:

To start, you want to isolate x.

To do so, get all the x terms to one side.

2x + 1 = 4x - 3

Subtract -4x on both sides.

-2x + 1 = -3

Then, subtract 1 on both sides.

-2x = -4

Finally, divide -2 on both sides.

x = 2

3 0
3 years ago
Harry purchased 16 hinges for his kitchen project. They were each on sale for $3 off the regular price.
Zielflug [23.3K]
THE ANSWER IS 8 DOLLARS BCUZ 80/16 EQUALS 5, AND 5+3 EQUALS 8!!!!
3 0
3 years ago
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The path a character takes to navigate a level of a video game is given in the following graph.
KonstantinChe [14]

We want to find the domain for the graphed function. We will see that the correct option is A: -12 ≤ x ≤ 14

<h3>What is the domain of a function?</h3>

For a function f(x) we define the domain as the set of possible inputs that we can use in the function.

In this case, we need to see the values in the horizontal axis that the graph covers.

We can see that it goes from -12 to 14. We also can see that there are two jumps, at x = -6 and at x = 8, but these values belong to the graph (denoted by the black dot) meaning that these are in the domain.

Then the domain is:

-12 ≤ x ≤ 14

If you want to learn more about domains, you can read:

brainly.com/question/1770447

6 0
3 years ago
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