Answer:
54
Step-by-step explanation:
![\frac{4}{3} \pi r^{3} =12\pi \\r=\sqrt[3]{9} \\surface area 4\pi r^{2} = 4\pi (\sqrt[3]{9} )^2=54.372 (3dp)](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%20%3D12%5Cpi%20%5C%5Cr%3D%5Csqrt%5B3%5D%7B9%7D%20%5C%5Csurface%20area%204%5Cpi%20r%5E%7B2%7D%20%3D%204%5Cpi%20%28%5Csqrt%5B3%5D%7B9%7D%20%29%5E2%3D54.372%20%283dp%29)
Answer:
27%
Step-by-step explanation:
The ratio means that for every 11 games won, 4 are lost, so the team has won 11<em>x</em> games, lost 4<em>x</em> games, and played 15<em>x</em> games for some positive integer <em>x</em>. The percentage of games lost is
4x / 15x * 100 = 4/15 * 100 = 26.6666 = 27%
Given:
The function is:

To find:
The value of
.
Solution:
We have,

Putting
, we get



On combining like terms, we get


Therefore, the required function is
.
Answer:
Step 1:
✔ Cofunction identity
Step 5:
✔ Sine difference identity
Step 6:
✔ Cofunction Identity
Step 7:
✔ Cosine function is even, sine function is odd.
Step-by-step explanation: