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Over [174]
3 years ago
9

how many times would it take to walk 1,000,000 yards in a park that is 150 yards on one side and 125 on the other

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0
3636 times. 1000000 divided by 275 equals 3636.36363 repeating
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Find the coefficients of the terms below in the expansion of (uu+vv)8. Explain your reasoning.
gladu [14]

Answer:

Remember, the expansion of (u+v)^n=\sum_{k=0}^n\binom{n}{k}u^{n-k}v^k.

Then,

(u+v)^8=\sum_{k=0}^8\binom{8}{k}u^{8-k}v^k

a) since u^{8-k}=u^2, then 8-k=2, k=6. Therefore, the coefficient of u^2v^6 is \binom{8}{6}=28

b) u^3v^5=u^{8-k}v^k. Then k=5 and the coefficient of the term is \binom{8}{5}=56

c) u^4v^4, then k=4 and the coefficient of the term is \binom{8}{4}=70

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Find the circumference and area of a circle with diameter 12 ft. Express your answer in terms of pie
xz_007 [3.2K]

Answer:

Circumference: 12π

Area: 36π

Step-by-step explanation:

The equation for the circumference of a circle is:

C = πd

Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.

C = 12π

And now we have found the circumference of the circle.

The equation for the area of a circle is:

A = πr²

Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:

12 = 2r

r = 6

Now that we know r, we can find the area of the circle:

A = π(6)²

A = 36π

Now we have found the area.

So the circumference is 12π and the area is 36π.

I hope you find my answer and explanation to be helpful. Happy studying.

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4 years ago
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