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Zinaida [17]
4 years ago
5

A student solved for the radius of a circle with a circumference of 12π

Mathematics
1 answer:
padilas [110]4 years ago
3 0

Answer:

Step 4 is incorrect  he did not divide correctly from step3 to step 4

Step-by-step explanation:

The circumference of a circle is

C = 2 * pi *r

We know the circumference is 12 pi

12pi = 2 pi *r

Divide each side by 2 pi

12 pi/2pi = 2pi r/ 2pi

6 = r

From step 3 The student did not cancel the pi in the top and the bottom on the right hand side to isolate r

In step 4 he got 6 =pi r  instead of pi

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Hey You!

The Expression Is: (6 ÷ 3) + 12
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3 years ago
Find the volume of the figure if the radius of the hemisphere and cylinder is 6 inches and the height of the cylinder is 12 inch
antiseptic1488 [7]

Answer: Option B

Step-by-step explanation:

The formula for calculate the volume of a hemisphere is:

V=\frac{2}{3}(\pi r^3)

Where r is the radius:

The formula for calculate the volume of a cylinder is:

V=\pi r^2h

Where r is the radius and h is the height.

Therefore, the volume of the figure is the sum of the volume of the hemisphere and the volume of the cylinder.

Finally, knowing that the radius of the hemisphere and the cylinder is 6 inches and the height of the cylinder is 12 inches, you can substitute values. Then:

V_{figure}=\frac{2}{3}(\pi (6in)^3)+\pi (6in)^2(12in)\\V_{figure}=576\pi\ in^3

5 0
4 years ago
7. Carol uses 3/4 of a cup of chopped apples, 42 of a cup of
maks197457 [2]

Answer:

2.91666666667 or 70/24 or 2 22/24

Step-by-step explanation:

3/4+4/2+1/6

18/24+48/24+4/24

66/24+4/24

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5 0
4 years ago
On December 31, 2050, General Industries Corp. (GIC) has just established two joint
siniylev [52]

The combined value available to GIC in terms of the present value as of

December 2050 is $5,050,413.22

What are year 1 cash flows to GIC?

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Annual cash flow=(1,000,000*1.02*50%)+(6,000,000,000/1250*50%)

Annual cash flow=$2,910,000

Now the present value of years 1 and 2 cash flows can be determined using the present value formula of a single cash flow provided below:

PV=FV/(1+r)^N

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PV=2,910,000/(1+10%)^1+2,910,000/(1+10%)^2

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Find out more about present value on:brainly.com/question/23741882

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5 0
2 years ago
Find three consecutive numbers whose sum is 219
Romashka [77]

Answer:

72, 73, 74

Step-by-step explanation:

x + x+ 1 + x + 2

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subtract 3


7 0
3 years ago
Read 2 more answers
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