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)
5280 feet
1 mile is equal to 5280 feet
i think that’s what you’re asking
Answer:
y=-2x+3
Step-by-step explanation:
y+2x=3
y=3-2x
y=-2x+3
y=mx+b
where m=-2 and b=3.
So the slope for this function is -2 and the y-intercept is 3. You can easily graph this function.
If they drove a total of 5,300 miles in 2 days, and on the second day they drove 10 more miles then the 1st day.
5,300 ÷ 2 = 2,650
they drove 10 miles less on the first day
2,650 - 10 = 2,640
They drove 2,640 miles on the first day.
Hope this helps. :)