Diane has 386 coins in her coin collection. There are a total of 112 nickels and 61 dimes in her collection the remaining coins
1 answer:
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Answer:
- cos(2θ) = 7/25
- tan(2θ) = -24/7
Step-by-step explanation:
Sometimes, it is easiest to let a calculator do the work. (See below)
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The magnitude of the tangent is less than 1, so the reference angle will be less than 45°. Then double the angle will be less than 90°, so will remain in the 4th quadrant, where the cosine is positive and the tangent is negative.
You can also use the identities ...
cos(2θ) = (1 -tan(θ)²)/(1 +tan(θ)²)
cos(2θ) = (1 -(-3/4)²)/(1 +(-3/4)²) = ((16-9)/16)/((16+9)/16)
cos(2θ) = 7/25
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tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)
tan(2θ) = -24/7
Answer:
Step-by-step explanation:
Since the country wants to reduce the emission by the percentage each year, the function will be decaying function. The formula of decaying function will look like this
Where
E(t) = the number of emission after t years
E0= the number of initial emission= 40 million tons
r=rate of growth/decay = 35%= 0.35
t= time in years
If we put the number, the equation will be: