Answer:
Step-by-step explanation:
You know that ...
- cos(θ)² = 1 - sin(θ)²
- tan(θ) = sin(θ)/cos(θ)
- cosine is negative in the third quadrant (where π < θ < 3π/2)
Using what you know about the relationships of these trig functions, you can find ...
cos(θ)² = 1 - ((-√3)/2)² = 1 - 3/4 = 1/4
cos(θ) = -1/2 . . . . . negative square root of 1/4
__
tan(θ) = sin(θ)/cos(θ) = ((-√3)/2)/(-1/2)
tan(θ) = √3
Well, we need to know how much was money the individual started with.
Surface area of sphere = 4πr²
<span>4πr² = 314.16
</span>
r² = 314.16/(4π)
r² ≈ 25.0000
r ≈ √<span>25.0000
r </span>≈ 5
Radius is almost 5 ft.
Answer: (2x+5)(2x−5)
Step-by-step explanation:For me, what i like to do is to try divide the problem into two parts. For example in this problem, you would divide the 4x^2 into two 4x(since 4x+4x = 4x^2). Then 25 can be divide into into 5s (5x5=25). SInce you know that its a negative 25, you know that it has to be a negative on one of the sides. So the answer in factor form is (2x+5)(2x−5)
Triangle A is the original triangle, and triangle A' is the image.
We need a pair of corresponding sides in the two triangles that are both labeled with lengths.
We see the side labeled 15.2 mm in triangle A', and we see the side labeled 3.8 mm in triangle A. These two sides are corresponding sides.
Divide the length of the side in the image by the length of the side in the original to find the scale factor.
(15.2 mm)/(3.8 mm) = 4
The scale factor is 4.
