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slega [8]
3 years ago
5

The volume of a cylinder is 540π ft3. The height is 15 ft. What is the diameter of the cylinder?

Mathematics
2 answers:
natita [175]3 years ago
8 0

The answer is (A) 12 ft

.......................................

Nonamiya [84]3 years ago
3 0
D = 2r

V = A*h

540π = πr²*h

540 = (d/2)²*15

540 = d²/4*15

540*4 = 15d²

d² = 2160 / 15

d² = 144

d = √144

d = 12 ft
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Answer:

  C.  (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

  (9, 15)

Then the translation up by 3 will give you the image coordinates ...

  (x, y) ⇒ (x, y+3)

  (9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

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<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

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3 years ago
What is the value of (7 + 2i)(3 - i)?
Harrizon [31]
There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}

Imaginary numbers:
Using the result from earlier:
21-i-2i^{2}
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7 0
3 years ago
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GenaCL600 [577]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>Let's consider all the information given</u>:

  1. Eddie's pension is based on the average of his last four year's salaries

           \hookrightarrow \text{average } = \text {sum of all salaries} / \text{ number of years}\\ \hookrightarrow \text{average}= 392000 / 4 = 98000

   

      2. The employer will pay 1.2% of that average for each year he worked

            \hookrightarrow \text{1.2 percent of average} = \frac{1.2}{100} *98000=1176

      3. The employer will therefore pay in total

             \hookrightarrow \text{Total pension} = 1176 * 20 \text{ years} = 23520

<u>Answer: $23520</u>

<u></u>

Hope that helps!

#LearnwithBrainly

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Step-by-step explanation:

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