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Valentin [98]
3 years ago
14

A model of a volcano has a height of 12 in., and a diameter of 12 in. What is the volume of the model? Use 3.14 to approximate p

i, and express your final answer as a decimal. Enter your answer in the box.
Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0
I think what you need to do here is do the volume of a cone. Which is 1/3 pir^2h. The first step is to find the radius. In order to do that is to divide the diameter by 2. You do this because the radius is two times smaller than the diameter. Then you want to multiply the radius (which is 6 inches) by the height (12 inches). By this time you should have the number 72 (12x6). The next step is to multiply 72 by pi, or 3.14. Which is 226.08.  I hope that you realized that all is left in the formula is the fraction 1/3. What you do here is divide the sum, or what you have multiplied. So, 226.08 divided by 3 is 75. 36. The model should be 75.36 inches.  
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Which expressions are completely factored? Select each correct answer. 32y10−24=8(4y10−3) 18y3−6y=3y(6y2−2) 16y5+12y3=4y3(4y2+3)
laila [671]

Answer:

Option A and Option C

Step-by-step explanation:

Option A: 32y^{10}-24 = 8(4y^{10}-3) This is completely factored as 8 is the Highest Common Monomial factor

Option B: 18y^{3}-6y = 3y(6y^{2}-2) This is not completely factored as 2 is still a common factor of 6y2 and -2.

Option C: 16y^{5}+12y^{3}=4y^{3}(4y^{2}+3) This is completely factored as 4y2 is the Highest Common Monomial factor

Option D: 20y^{7}+10y^{2} = 5y(4y^{6}+2y) This is not completely factored as 2y is still a common factor of 4y6 and 2y.

So the options that are completely factored are Option A and Option C

3 0
3 years ago
18 is 25% of what number? A) 36
Nezavi [6.7K]

Answer:

c) 72

Step-by-step explanation:

multiply 18 by 4

5 0
3 years ago
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Your task, to replicate this musical frequency is to write a method harmonicSeries that accepts an integer parameter n and retur
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

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5 0
3 years ago
What is the value of x and what is angle b?
SashulF [63]

Answer:

x=6

B = 20

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

55+ 3x+2 = 13x-3

Combine like terms

57+3x = 13x -3

Subtract 3x from each side

57+3x-3x = 13x-3x-3

57 = 10x-3

Add 3 to each side

57+3 = 10x-3+3

60 = 10x

Divide each side by 10

60/10 = 10x/10

6 =x

We also want angle B

B = 3x+2

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6 0
4 years ago
5/6 in cubic cm rounded to the nearest tenth
ollegr [7]

Answer:

5/6 cubic inches = 5/6 x 16.38 cubic cms

= 13.65 cubic cms

Step-by-step explanation:

We are asked to convert 5/6 cubic inches in cubic cm rounded to the nearest tenth

1 inch =2.54 cms.

Hence 1 cubic inches = 16.38 cubic cms

Hence 5/6 cubic inches = 5/6 x 16.38 cubic cms

= 13.65 cubic cms

7 0
3 years ago
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