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3 years ago

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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Ivanshal [37]

Answer:

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Vertex: $(-\frac{5}{8},-2\frac{9}{16})$

Step-by-step explanation:

The given quadratic equation is

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By comparing to the general quadratic function; $y=ax^2+bx+c$

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The equation of the axis of symmetry is given by the formula;

$x=-\frac{b}{2a}$

We got this formula by completing the square on the general quadratic function.

We substitute a=4 and b=5 to obtain;

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$y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1$

$y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1$

$y=-\frac{41}{16}$

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Answer:

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