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3 years ago

The radius of the circular track was 157.64 feet find the circumference of the track

1 answer:

7 0

Before we solve for anything, let's remember what our formula is.

The circumference of a circle is 2PiR (2 x Pi x R).

Our radius is 157.64.
Pi is 3.14 (estimated).

Let's plug our numbers into the formula.

Circumference = 2 x 3.14 x 157.64.
2 x 3.14 = 6.28
6.28 x 157.64 = 989.979 (990 if estimated).

Your circumference is:
989.979 ft^2.

I hope this helps!

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To find the product of (−2√20k)(5√8k3), first write using a single radical. Which expression is equivalent to the given product?

ad-work [718]

Answer:

Assuming the variable is included under the radical,

-40k²√(10)

Step-by-step explanation:

$(-2\sqrt{20k})(5\sqrt{8k^3})$

First we will simplify the first factor,

$-2\sqrt{20k}$

We will write 20 as a product of factors:

$-2\sqrt{4*5k}$

We know the square root of 2 is 2, so we pull a 2 out:

$-2(2)\sqrt{5k}\\\\=-4\sqrt{5k}$

Now we will simplify the second factor,

$5\sqrt{8k^3}$

We will rewrite 8 as a product of factors, as well as the variable:

$5\sqrt{2*4*k^2*k}$

The square root of 2 is 2, so we pull a 2 out. Additionally, the square root of k² is k, so we pull that out:

$5(2)(k)\sqrt{2k}\\\\=10k\sqrt{2k}$

This gives us the product

$(-4\sqrt{5k})(10k\sqrt{2k})$

Multiplying the coefficients, we have

$-4(10k)(\sqrt{5k})(\sqrt{2k})\\\\=-40k(\sqrt{5k})(\sqrt{2k})$

Multiplying the two radicals, we have

$-40k\sqrt{5k*2k}\\\\-40k\sqrt{10k^2}$

The square root of k² is k, so we pull a k out, leaving

$-40k(k)\sqrt{10}\\\\=-40k^2\sqrt{10}$

8 0

4 years ago

Read 2 more answers

Please help with #2 and #4

Zinaida [17]

Answer:

Problem 2: k = 3

Problem 4: NO SOLUTION

Step-by-step explanation:

Problem 2 work:

-4/3(12k + 27) = -57 - 9k

-16k - 36 = -57 - 9k -ADD THE -9k TO ITSELF AND TO -16k-

-7k - 36 = -57 -ADD THE -36 TO ITSELF AND -57-

-7k = -21

k = 3

Problem 4 work:

5/2(6w - 16) = 18w -(3w + 40)

15w - 40 = 18w - 3w - 40 -ADD THE -3w TO THE 18w-

15w - 40 = 15w - 40

NO SOLUTION BECAUSE BOTH SIDES ARE THE SAME

3 0

3 years ago

Read 2 more answers

The probability that an individual has 20-20 vision is 0.19 0.19. in a class of 70 70 students, what is the mean and standard

Ipatiy [6.2K]

Formula to find mean and standard deviation is,

Means = np and standard deviation = $\sqrt{n p (1-p)}$ .

Where n= sample size, p = probability.

According to the given problem, the probability that an individual has 20 vision is 0.19 in a class of 70 students. So,

p = 0.19 and n = 70.

Hence, the first step is to plug in these values in the above formula to get mean and standard deviation. Therefore,

Mean = np

= 70* 0.19

= 13.3

= 13.300 (Rounded to nearest thousandth.

Standard deviation = $\sqrt{np(1-p)}$

= $\sqrt{70*0.19*(1-0.19)}$

= $\sqrt{13.3*0.81}$

=√10.773

=3.282224855

= 3.282 (Rounded to nearest thousandth).

4 0

3 years ago

47. Nitrogen makes up approximately 3 of the earth's atmosphere, and oxygen makes up about of the atmosphere. How much of the at

sladkih [1.3K]

Answer:

about 98 percent

Step-by-step explanation:

about 78.09% of the atmosphere is nitrogen and 20.95% of oxygen so when we add 78 and 20 we get 98% .Therefore about 98%of the earth is composed of nitrogen and oxygen

5 0

3 years ago

How do I work out "The beam from a lighthouse reaches a distance of 8 kilometers and spreads to an angle of 35 degrees. Calculat

kifflom [539]

The whole circle has 360 degrees

You just need to count the area of circle with radius of 8 km and then multiple it by the fraction 35 over 360.

3 0

4 years ago