<span>D = 22ft
h = 9 ft
Lateral area of the cylinder = </span>π × D × h = 3,14 × 22 × 9 = 621,72 ft²
Answer:
0.5
Step-by-step explanation:
Given:

To find:
The exact value of cos 15°.
Solution:

Using half-angle identity:


Using the trigonometric identity: 

Let us first solve the fraction in the numerator.

Using fraction rule: 

Apply radical rule: ![\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Cfrac%7B%5Csqrt%5Bn%5D%7Ba%7D%7D%7B%5Csqrt%5Bn%5D%7Bb%7D%7D)

Using
:


Answer:
x≥2
Step-by-step explanation:
Let's solve your inequality step-by-step.
12−7x≤−2
Step 1: Simplify both sides of the inequality.
−7x+12≤−2
Step 2: Subtract 12 from both sides.
−7x+12−12≤−2−12
−7x≤−14
Step 3: Divide both sides by -7.
−7x/−7 ≤ −14/−7
x≥2
Answer:
Nina practiced the viola for 11.25 hours last week.
Step-by-step explanation:
Juan practiced the violin for 9 hours last week. For each 3 hours that he practices the violin, he practices 2.5 hours of cello. So
3h violin - 2.5h cello
9h violin - xh cello


He practiced 7.5 hours of cello, the same as Nina.
For every 3 hours Nina spends practicing the viola she practices the cello for 2 hours. So:
3h viola - 2h cello
xh viola - 7.5h cello



Nina practiced the viola for 11.25 hours last week.