Answer:
2*2 * 2*2 * 2*3
Step-by-step explanation:
96 =16 *6
Break these down, since neither 16 nor 6 are prime
= 4*4 * 2*3
4 in not prime, but 2 and 3 are prime
= 2*2 * 2*2 * 2*3
All of these are prime
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
An odd number ends in 1, 3, 5, 7, or 9.
The volume of the rectangular prism with the dimensions given are as follows:
v = 72 inches³
v = 36 inches³
v = 80 inches³
v = 54 inches³
<h3>Volume of a rectangular prism</h3>
where
l = length
w = width
h = height
Therefore,
a.
- v = 4 × 3 × 6 = 72 inches³
b.
- v = 6 × 3 × 2 = 36 inches³
c.
- v = 4 × 5 × 4 = 80 inches³
d.
- v = 2 × 9 × 3 = 54 inches³
learn more on rectangular prism here: brainly.com/question/13512346
Answer:
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Step-by-step explanation:
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