Answer:
sin theta = +(√23)/5
Step-by-step explanation:
Did you know that the cosine is an even function, so that cos (-theta) = cos (+theta)?
Thus we have:
cos(θ)= −√2/5 , sinθ>0
If the cosine of theta is negative, that means that the terminal side of theta is in either Quadrant II or III. Since the sine of theta is positive, we can deduce that theta is in Quadrant II.
Given cos(θ)= −√2/5, we square both sides, obtaining (cos theta)^2 = 2/25. Using the formula (sin theta)^2 + (cos theta)^2 = 1, we arrive at:
(sin theta)^2 = 1 - 2/25, or 23/25.
Then sin theta = +(√23)/5.
Answer:
1.03
Step-by-step explanation:
9 + 5 + 12 = 26
286 ÷ 26 = 11
small = 11 x 9 = 99
medium = 11 x 5 = 55
large = 11 x 12 = 132
3x = medium, large = 4x, small = x
small = 99x, medium = 55 x 3 = 165x, large = 132 x 4 = 528x
99x + 165x + 528x = 792x
815.76 = 792x
815.76 ÷ 792 = x
1.03 = x
77 days turned into weeks means that you have to divide by seven.
77/7 = 11.
It took eleven weeks to plan (Answer choice D)
The amount of interest paid on the car loan for the first 12 months would be $ 453,075.
Given that Melanie wants to purchase a car that costs $ 43,150, and she has decided to make a 20% down payment, and her bank offers her a 48-month loan at a 5.25% interest rate, to determine what is the amount of interest paid on the car loan for the first 12 months the following calculation must be performed:
- (43,150 x (1 - 0.20)) x 0.0525 = X
- 43,150 x 0.8 x 0.0525 = X
- 34,520 x 0.0525 = X
- 1,812.3 = X
- 1,812.3 / 48 x 12 = X
- 37.75625 x 12 = X
- 453.075 = X
Therefore, the amount of interest paid on the car loan for the first 12 months would be $453,075.
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