3 years ago

If sin theta = 4/5 then sec theta is?

1 answer:

6 0

Answer: 53.13
Explanation of answer: since theta is the unknown, then you must use the inverse of sin. (Which is sin with -1 subscript) I used a calculator and used inverse of sin and put 4/5 in parenthesis

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What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?

matrenka [14]

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3 years ago

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Nonamiya [84]

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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3 years ago

Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6

lesantik [10]

For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees

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3 years ago