We are asked to express cos^ 3 x in terms of powers of trigonometric functions not greater than 1
cos ^ 3 x is equal to cos x * cos^2 x.
<span>cos^2 x = 1 - sin^2 x.
</span>sin^2 x = (1 - cos 2x) /2
the answer is cos ^ 3 x = cos x * (1 - <span> (1 - cos 2x) /2 )</span>
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = 
(find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
Rectangular parallelepiped, right rectangular prism)
lwh
Prism
bh
Answer:
Surface area of cylinder= 211.5π
Step-by-step explanation:
Given,
Height of cylinder = 19cm
Diameter of cylinder = 9cm
i.e Radius of cylinder = diameter/2 = 9/2 = 4.5cm
Surface area of cylinder = 2πrh + 2πr²
Plug corresponding values of r and h in surface are formula.
Surface area of cylinder = 2πrh + 2πr² = 2π*4.5*19 + 2π*4.5²
Surface area of cylinder = 171π+40.5π = 211.5π
Hence we get surface area of cylinder= 211.5π
Answer:
D
Step-by-step explanation:
Volume = lwh
120 = l(4)(3)
l = 10 feet
