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konstantin123 [22]
3 years ago
13

Which angles intercept a 20 degree arc in a circle? Select all that apply.

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

Answer:

B and D

Step-by-step explanation:

A 20 degree intercepted arc will correspond with two angles: the inscribed angle and the central angle.

The central angle always has the same degree measure as the intercepted arc, so we want a central angle with degree 20. So, that's B.

The inscribed angle is the angle whose vertex is on the circle, not the center. This angle always has half the measure of the intercepted arc, so we want an angle with degree 20/2 = 10. So, that's D.

Thus, the answers are B and D.

Hope this helps!

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April took out a $600 loan from the bank.At the end of 5 years, she pays back the principle,plus $60 simple interest.What was th
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Answer:

April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is  given the principal  and the time   and the interest rate  is . For this problem we have to find the interest rate   given  . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,

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3 years ago
What is the equation, in standard form, of a parabola that models the values in the table?
Vitek1552 [10]

Answer:

  b.  4x^2 + 3x - 6

Step-by-step explanation:

The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.

It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.

a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4

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8 0
3 years ago
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8 0
3 years ago
At 2:00 pm there are 350 freshmen and 200 sophomores at a school carnival. After 2:00 pm 20 freshman leave every hour and 35 sop
dmitriy555 [2]

Answer:

160:340

Step-by-step explanation:

The hours between 2:00pm and 4:00pm is 2 hours. If originally 350 freshman and 200 sophomores are at the carnival, and 20 freshman leave every hour, we can determine how many freshman left in 2 hours:

=20\cdot{2}=40

and if 35 sophomores arrive every half our, we know that for every two hours there is 4 half hours, therefore:

=35\cdot{4}=140

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and the amount of sophomores:

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the ratio is 160:340

5 0
3 years ago
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