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Vikentia [17]
3 years ago
13

Determine the volume of the pencil

Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0
We have that 
[Volume of the pencil]=[Volume of <span>cylinder]+[volume of cone]
</span>[Volume of cylinder]=pi*(0.5²)*15=11.78 cm³
[volume of cone]=pi*(0.5²)*2/3=0.52 cm³
[Volume of the pencil]=[11.78]+[0.52]=12.30 cm³

the answer is 12.30 cm³
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Naddika [18.5K]

Answer:

-\frac{1}{3}

Step-by-step explanation:

Use the definition of slope:

m=\frac{y_2-y_1}{x_2-x_1}\\

Replace the values in the equation and solve:

m=\frac{-3-(-2)}{4-1} \\m=\frac{-1}{3}\\m=-\frac{1}{3}

4 0
2 years ago
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Deffense [45]

90

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1/3(6x-15)=1/2(10x-4) solve for x
Tatiana [17]

Simplify 1/3(6x - 15) to 6x - 15/3

6x - 15/3 = 1/2(10x - 4)

Factor out the common term; 3

3(2x - 5)/3 = 1/2(10x - 4)

Cancel out 3

2x - 5 = 1/2(10x - 4)

Simplify 1/2(10x - 4) to 10x - 4/2

2x - 5 = 10x - 4/2

Factor out the common term; 2

2x - 5 = 2(5x - 2)/2

Cancel out 2

2x - 5 = 5x - 2

Subtract 2x from both sides

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Simplify 5x - 2 - 2x to 3x - 2

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Add 2 to both sides

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Simplify -5 + 2 to -3

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Divide both sides by 3

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8 0
3 years ago
If a concrete mix contains 1-1/2 cubic feet of gravel, 1/2 cubic foot of water,
Karolina [17]

Answer:

The correct answer is "50%".

Step-by-step explanation:

The given values are:

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= (1-\frac{1}{2} )

Water,

= \frac{1}{2}

Cement,

= 1

Sand,

= 2

Now,

The total mixture will be:

= Gravel+Water+Cement+Sand

By substituting the values, we get

= (1-\frac{1}{2} )+\frac{1}{2} +1+2

= \frac{1}{2} +\frac{1}{2} +1+2

= 4 \ cubic \ feet

hence,

The percentage of sand will be:

= \frac{Sand}{Total}\times 100

= \frac{2}{4}\times 100

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3 0
2 years ago
Eliminate the y in the following system of equations. What is the result when you add the two equations?
nika2105 [10]

Answer:

Step-by-step explanation:

4x=29

X=29/4

5 0
3 years ago
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