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elena-14-01-66 [18.8K]
3 years ago
15

James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 in his work is shown below

Mathematics
2 answers:
Valentin [98]3 years ago
8 0

Answer: C. 13.5 ❤❤

Step-by-step explanation:

wel3 years ago
7 0

Answer:

13.5cm

Step-by-step explanation:

V=Bn

Step 1: 3245 - 12h

Step 2: 324 = 24 sh

324 24

Step 3: 245 245

Step 4: h-13.5

inches

What is the first error that James made when calculating the height of the cylinder?

In step 1, he substituted into the volume formula incorrectly.

In step 2, he calculated 122 incorrectly. It should be 144 rather than 24.

In step 4, the should have canceled, making the correct answer 13.5 cm.

James calculated the height of the cylinder correctly

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The table represents a function.
mezya [45]

Answer:

-8

Step-by-step explanation:

You are given the following table representing the function f(x):

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This means

f(-4)=-2\\ \\f(-1)=5\\ \\f(3)=4\\ \\f(5)=-8

Hence,

f(5)=-8

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3 years ago
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Find f(x) and g(x) so that the function can be described as y = f(g(x)).<br><br> y = 4/x^2+9
dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is f(x) = \frac{4}{x},  \ \ g(x) = x^2+9

Another possible answer is f(x) = \frac{4}{x+9}, \ \ g(x) = x^2

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

4 0
3 years ago
I’ve got a couple trigonometry questions that I really need help on. I don’t understand them at all.
wel

Answer:

Q5. Option 1

Q7. Option 4

Step-by-step explanation:

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3 years ago
if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?
kirill115 [55]

Answer:

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Step-by-step explanation:

Solve using proportions:

\frac{25in}{35ft} =\frac{1/8 in}{?ft}

Find the scale factor by dividing the numerators 25 by 1/8.

25 ÷ 1/8 = 200   This is the common ratio

To get from the top left number to the top right number, you divide 25 by 200.

To get from the bottom left number to the bottom right number, you divide 35 by 200.

35 ÷ 200 = 0.175

1/8 of an inch represents 0.175 feet.

To find 0.175 in fraction form, reduce 35/200 to its lowest terms.

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