Answer:
sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5
Step-by-step explanation:
We need to find sine, cosine, and tangent of theta for this triangle.
First, define the different trigonometric functions:
- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)
- cosine is the adjacent side next to the angle divided by the hypotenuse
- tangent is the opposite side to the angle divided by the adjacent side
Now, look at theta (θ):
- the opposite side is marked 12
- the adjacent side is marked 5
- the hypotenuse is marked 13
So:
- sin(θ) = opposite / hypotenuse = 12/13
- cos(θ) = adjacent / hypotenuse = 5/13
- tan(θ) = opposite / adjacent = 12/5
Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.
Answer: unbiased; simple random sampling
Step-by-step explanation:
From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.
This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.
Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.
I think it would be the second one
Parallelograms, have 2 pairs of parallel lines. The diagnosis are congruent, so one diagnosis makes 2 congruent triangles. Use the WSS triangle theorem. We have congruent angles.
The length of the rectangle is x and the height is x-2
To find the area of a rectangle you multiply length times width
l(w) = 146
x(x-2) = 146
x^2 - 2x = 146
