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Molodets [167]
3 years ago
14

Araceli filled a cone-shaped container with a variety of colored sand to give as a gift to a friend. The volume of a cone is rep

resented by the expression below, where r is the radius of the base of the cone and h is the height of the cone. Find the approximate volume of colored sand in the container if it has a radius of inches and a height of inches. Use 3.14 for pi.
A.

22.608 cubic inches

B.

33.912 cubic inches

C.

11.304 cubic inches

D.

7.536 cubic inches
Mathematics
2 answers:
omeli [17]3 years ago
8 0

Answer:

D

Step-by-step explanation:


alukav5142 [94]3 years ago
4 0

Answer:

11.304 cubic inches.

Step-by-step explanation:

Substitute the values of the radius and the height into the expression, and then use the correct order of operations to simplify the expression.

1. Parentheses or Brackets from the inside out

2. Exponents

3. Multiplication and Division from left to right

4. Addition and Subtraction from left to right

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the empire stat building in new york city is 1454 feet tall a model building is 24 inches tall what is the ratio of the model to
Blizzard [7]
I believe the answer is 6
6 0
3 years ago
Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani
Natali [406]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|

We have the constraints:

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0
3 years ago
Write an equation y is 20% what is x
lisabon 2012 [21]

Answer:

x + .20 = 1

Step-by-step explanation:

The equation would be x + .20= 1, or 1.00, because if you turn 20% into a decimal, it becomes .20. The total you are trying to find is 1 whole, in which this case it would simply be one as there is no other information. The x is first as if you had the .20 first, you would have to divide each side by .20, which would make x = 5, and that would not make sense.

Finding X: To find, subtract on each side by .20 due to the fact you are adding and need to do the opposite, .20-.20 cancels out and 1.00-.20 is .80, so you are left with x=.80

4 0
2 years ago
Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B1221%20%5Ctimes%201221%7D%20" id="TexFo
densk [106]

Answer:

1221\sqrt{x}

Step-by-step explanation:

1221 x 1221 = 1490841

square root of 1490841 is 1221

8 0
3 years ago
Read 2 more answers
Which of the following is not equivalent to 1/25?
taurus [48]
 The answer is D. 5^-2 times 5^4.
3 0
3 years ago
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