Step-by-step explanation:
sin⁴ x − sin² x
Factor:
(sin² x) (sin² x − 1)
Pythagorean identity:
(1 − cos² x) (-cos² x)
Distribute:
-cos² x + cos⁴ x
cos⁴ x − cos² x
Essentially, 50% of $10.56 is $5.28.
This means that all we have to do is add $10.56 to $5.28, making <u>$15.84</u>
Side note: Another way that you can do this is by simply doing 1.5(10.56).
Answer:
Step-by-step explanation:
![volume = \frac{4}{3} \pi {r}^{3} \\ \\ 288\pi = \frac{4}{3} \pi {r}^{3} \\ \\ 3(288\pi) = 4\pi {r}^{3} \\ \\ \frac{3(288\pi)}{4\pi} = {r}^{3} \\ \\ 216 = {r}^{3} \\ \\ r = \sqrt[3]{216} \\ r = 6](https://tex.z-dn.net/?f=volume%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20288%5Cpi%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20%5C%5C%20%20%5C%5C%203%28288%5Cpi%29%20%3D%204%5Cpi%20%7Br%7D%5E%7B3%7D%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B3%28288%5Cpi%29%7D%7B4%5Cpi%7D%20%20%3D%20%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20216%20%3D%20%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20r%20%3D%20%20%5Csqrt%5B3%5D%7B216%7D%20%20%5C%5C%20r%20%3D%206)
R=(0,2), T=(4,2)
vector:
v=(4-0,2-2)=(4,0)
v/2=(2,0)
(0,2)+v/2=(2,2)
so (2,2) is the midpoint
Step-by-step explanation:
mean score means the sum of all 6 scores divided by the number of games : 6.
sum6/6 = 15
sum6 = 15×6 = 90
(sum6 + x)/7 = 16
sum6 + x = 16×7 = 112
90 + x = 112
x = 22
they scored 22 points in the 7th game.
