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Archy [21]
3 years ago
8

If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?

Mathematics
1 answer:
mixer [17]3 years ago
4 0

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

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Step-by-step explanation:

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Number 19: Please explain the answer. Thank you so much!
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What is the solution to the system of linear equations whose graphs are shown below?
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3 years ago
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Assume that you assign the following subjective probabilities for your final grade in your econometrics course (the standard GPA
rodikova [14]

Answer:

E(X) = 4*0.2 +3*0.5+ 2*0.2 +1*0.8+ 0*0.02= 2.78

So then the best answer for this case would be:

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Step-by-step explanation:

For this case we have the following probabability distribution function given:

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A= 4.0       0.2

B= 3.0       0.5

C= 2.0       0.2

D= 1.0        0.08

F= 0.0       0.02

______________

Total          1.00

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

If we use the definition of expected value given by:

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3 0
3 years ago
Which expression is the factorization of x2 + 10x + 212
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Answer:

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Next you have to take out the common factors and factorize it :

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