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oksano4ka [1.4K]
3 years ago
10

a pillar candle is shaped like a cylinder with a radius of 1.5 inches. The candle hold 123 cubic inches of wax. How tall is the

candle? Use 3.14 for pie. Round your answer to the nearest hundredth.
Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0
H=17.4 so basically you plug in what you have in the formula for finding the volume of a cylinder  which is V=pir^{2} xh  r being radius and h height so it would be 123=pi1.5^{2} xh then you solve  like an equation
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Step-by-step explanation:

Given the formula for simple interest as

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6 0
4 years ago
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Naddika [18.5K]

Answer:

The answer is below

Step-by-step explanation:

Which statements are true about the parallelograms? Check all that apply.

The length of side MN is 2 units.

The length of side M'N' is 5 units.

The image is smaller than the pre-image.

Sides MQ and M'Q' both have the same slope, 1.

The scale factor is 2/5

a) The length of side MN is determined using the formula:

|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-2)^2+(-2-(-2))^2}=\sqrt{2^2}=2\\  \\ |MN|=2

The first option is correct

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|M'N'|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(10-5)^2+(-5-(-5))^2}=\sqrt{5^2}=2\\  \\ |M'N'|=5

The second option is correct

c) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q' , hence parallelogram M'N'P'Q'  is bigger that parallelogram MNPQ. This means that The image is bigger than the pre-image.

The third option is wrong

d) The slopes are given as:

Slope\ of\ MQ=\frac{Change\ in\ y}{Change\ in\ x}=\frac{1-2}{-3-(-2)} =1\\ \\Slope\ of\ M'Q'=\frac{Change\ in\ y}{Change\ in\ x}=\frac{3-5}{-7-(-5)} =1\\

Option four is correct

e) From the coordinates of parallelogram MNPQ and M'N'P'Q', we can see that parallelogram MNPQ is dilated by a factor of 5/2 to produce parallelogram M'N'P'Q', hence the scale factor is 5/2

Option 5 is wrong

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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