Answer:
39
NOTE: JUST SUBTRACT 45 AND 6
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Answer:
45 
Step-by-step explanation:
Multiply 9 · 10 = 90 then divided by 2 = 45
Answer:
D. -2.6-(-12) is positive
C.(-3.7)+(-12) is Positive
A. +(-2.5) is negative
Answer:
8 years
Step-by-step explanation:
100e^(.05t) = 150 . . . . . a better model of the situation
e^(.05t) = 150/100 . . . . divide by 100
0.05t = ln(1.5) . . . . . . . . take natural logs
t = ln(1.5)/0.05 ≈ 8.11 . . . . divide by the coefficient of t
The money has been invested for about 8 years.
<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1
Starting with the left: Note that cos²θ + </span><span>sin²θ = 1.
In the same way: </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore cos²3θ = 1 - <span>sin²3θ
</span> From the top: (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ
= 2/<span>sin² 3θ - 1; But 1/</span><span>sinθ = csc</span><span>θ, Similarly </span>1/sin3θ = csc3θ
= 2 *(1/sin<span>3θ)² - 1</span>
= 2csc²3θ - 1. Therefore LHS = RHS. QED.
