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3 years ago

SOLVE. 3 sin x + 5 cos x = 0

2 answers:

6 0

Subtract the 5cos(x)=>3sin(x)=-5cos(x) Divide by -5cos(x)=> (-3/5)tan(x)=1 Multiply by -5/3=>tan(x)=-5/3=>x=arctan(-5/3)

Anestetic [448]3 years ago

3 0

3 sin x + 5 cos x = 0
3 sin x = - 5 cos x /: cos x ( divide both sides by cos x )
3 sin x / cos x = - 5
3 tan x = - 5
tan x = -5/3
x = arc tan (-5/3)
x ≈ - 59.036°

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3 years ago

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Step-by-step explanation:

Formula to calculate the sum of interior angles of a polygon is,

Sum of the interior angles of a polygon = (n - 2) × 180°

Where n = number of sides of the polygon.

If number of sides of a polygon are 12,

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3 years ago

The Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make

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Answer:

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b)There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons

Step-by-step explanation:

This probability problem can be solved by building a Venn like diagram for each probability.

I say that we have two sets:

-Set A, for those people that will feel guilty about wasting food.

-Set B, for those people that will feel guilty about leaving lights on when not in a room.

The most important information is that there is a .12 probability that a randomly selected person will feel guilty for both of these reasons. It means that $P(A \cap B) = .12.$

The problem also states that there is a .39 probability that a randomly selected person will feel guilty about wasting food. It means that P(A) = 0.39. The probability of a person feeling guilty for only wasting food is PO(A) = .39-.12 = .27.

Also, there is a .27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room. So, the probability of a person feeling guilty for only leaving the lights on is PO(B) = 0.27-0.12 = 0.15.

a) What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room?

This is the probability that the person feels guilt for only one of those things, so:

P = PO(A) + PO(B) = 0.27 + 0.15 = 0.42 = 42%

b) What is the probability that a randomly selected person will not feel guilty for either of these reasons

The sum of all the probabilities is always 1. In this problem, we have the following probabilies

- The person will not feel guilty for either of these reasons: P

- The person will feel guilty for only one of those things: PO(A) + PO(B) = 0.42

- The person will feel guilty for both reasons: PB = 0.12

`P + 0.42 + 0.12 = 1

P = 1-0.54

P = 0.46

There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons

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3 years ago

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Answer:

k-7 $\geq$ 70

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