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Elina [12.6K]
3 years ago
11

Solve the equation 3sin2 theta = sin e, for values of e between Oº and 360°

Mathematics
1 answer:
Reil [10]3 years ago
5 0

Answer:

[B] 0, 19.5, 160.5, 180, 360

Step-by-step explanation:

3 sin²θ = sin θ

3 sin²θ − sin θ = 0

sin θ (3 sin θ − 1) = 0

sin θ = 0 or sin θ = ⅓

If sin θ = 0, θ = 0°, 180°, 360°.

If sin θ = ⅓, θ = 19.5°, 160.5°.

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Solve for a.<br> 4/a+4 =-1/a+9
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Answer:

a = -8

Step-by-step explanation:

you can solve this proportion by cross-multiplying:

4(a + 9) = -1(a + 4)

now distribute to eliminate parentheses

4a + 36 = -1a - 4

5a + 36 = -4

5a = -40

a = -8

5 0
2 years ago
Angle A B D is a right angle, which is the measure of Angle C B D? Angle A B D is intersected by line C to form angles 75 degree
drek231 [11]

Answer:

15 degrees

Step-by-step explanation:

Since ABD is a right angle it equals 90 degrees

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Step-by-step explanation:

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2 years ago
Write the set of real numbers in interval notation. {x | x ≥ −8}
Vikentia [17]
The answer is: [-8, \infty)

Which can be written as: [-8, infinity) 

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Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set". 

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers. 
8 0
3 years ago
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