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Ber [7]
3 years ago
13

The diameter of a circle is 20 in. Find its circumference in terms of \piπ.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer:

Step-by-step explanation:

C=2\pi r$ since d=2r$ \\ \\ C=\pi d,\ d=20\\ \\ C=20\pi in

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If (x+2) is a factor of x^3-6x^2+kx+10, k=
Alja [10]
If a binomial (x-a) is a factor of a polynomial, then a is a root of this polynomial.

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(-2)^3-6\cdot(-2)^2+k\cdot(-2)+10=0\\
-8-24-2k+10=0\\
-2k=22\\\
\boxed{k=-11}


3 0
2 years ago
Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded
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4 0
2 years ago
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equa
Aleonysh [2.5K]

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

7 0
2 years ago
Read 2 more answers
Question 1: Mrs. March jogged 10 miles in 110 minutes. If
nekit [7.7K]

Answer:

To find the answer to these questions, you normaly divide the distance by the time, and then you know how long it took and multiply it by the new distance.

Step-by-step explanation:

110/10=11

to jog one mile it took her 11 minutes

5 0
3 years ago
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