Answer:
7
Step-by-step explanation:
Answer:
7/25
Step-by-step explanation:
Let
so we have 
As
, we'll have ![\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2](https://tex.z-dn.net/?f=%5Ccos%5B2%5Carcsin%28%5Cfrac%7B3%7D%7B5%7D%29%5D%3D%5Cbigr%5B%5Ccos%28%5Carcsin%28%5Cfrac%7B3%7D%7B5%7D%29%29%5Cbigr%5D%5E2-%5Cbigr%5B%28%5Csin%28%5Carcsin%28%5Cfrac%7B3%7D%7B5%7D%29%29%5Cbigr%5D%5E2)
To determine
, construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since
, then
. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus,
. This means that
.
Hence, ![\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}](https://tex.z-dn.net/?f=%5Ccos%5B2%5Carcsin%28%5Cfrac%7B3%7D%7B5%7D%29%5D%3D%28%5Cfrac%7B4%7D%7B5%7D%29%5E2-%28%5Cfrac%7B3%7D%7B5%7D%29%5E2%3D%5Cfrac%7B16%7D%7B25%7D-%5Cfrac%7B9%7D%7B25%7D%3D%5Cfrac%7B7%7D%7B25%7D)
Answer:
A) Hummingbirds drinking nectar from a plant.
Step-by-step explanation:
Here are some examples of natural selection: In a habitat there are red bugs and green bugs. The birds prefer the taste of the red bugs, so soon there are many green bugs and few red bugs. The green bugs reproduce and make more green bugs and eventually there are no more red bugs.
Answer:
4,800,089
Step-by-step explanation:
You must multiply 80000 by 60 first, which an easy way to solve is multiply 8 by 6 and then add the amount of zeroes in both of those numbers so 48, and then 5 zeroes. So 4,800,000. Then you want to add 89.
Answer:
A) 9
Step-by-step explanation:
f(2) is basically asking what the y-coordinate is at x = 2
If you trace x = 2, you see it intersects f(x) at (2, 9).