Answer:
1/32v²sin2θ
Step-by-step explanation:
Given the expression r(theta) = 1/16v²sinθcosθ
According to double angle of trigonometry identity;
Sin2θ = sin(θ+θ)
Sin2θ = sinθcosθ + cosθsinθ
Sin2θ = 2sinθcosθ
sinθcosθ = sin2θ/2 ... **
Substituting equation ** into the question
1/16v²sinθcosθ = 1/16v²(sin2θ/2)
1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)
1/16v²sinθcosθ = 1/32v²sin2θ
Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ
Answer:
2000
Step-by-step explanation:
500/0.25. :) hope this helped
Hello!
We must use a certain formula to find the volume of a rectangular prism. The formula is:
V = l × w × h
Let's multiply the 3 dimensions together. Before we can do that, though, we must convert the mixed fractions to improper fractions.
8 1/2 = (8 × 2) + 1 / 2 = 17/2
9 1/3 = (9 × 3) + 1 / 3 = 28/3
12 2/5 = (12 × 5) + 2 / 5 = 62/5
17/2 × 28/3 = 476/6 (which can be simplified to 238/3)
238/3 × 62/5 = 14756/15
Final Answer:
The volume of the rectangular prism is 983 11/15 centimetres cubed, and 983.733 centimetres cubed (Repeating decimal) as a decimal.
Terminated. Any decimal that repeats goes on forever. Such as pie: 3.1415...