The answer for number 7 is x=3
Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
Answer:
x = 0.625 or 5/8
Step-by-step explanation:
1/2(16x-6) = 2
8x - 3 = 3
8x = 3 + 3
8x/8 = 9/8
x = 0.625
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