Answer:W=5x15
HTH
Step-by-step explanation:
Answer:
a) cos(α+β) ≈ 0.8784
b) sin(β -α) ≈ -0.2724
Step-by-step explanation:
There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.
Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.
For the first problem, we'll do it the first way:
sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524
cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820
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a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
= 0.926×0.993820 -0.377524×0.111
cos(α+β) ≈ 0.8784
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b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724
Let C be the total charge and t be the rental time in hours.
C = ht + 43
Plugging the given values into the equation, we get:
64 = 7h + 43
7h = 21
h = 3
The hourly fee is $3.00 per hour.
Answer:
y=5x−17
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
5x-9=8x-30
8x-5x=-9+30
3x=21
x=21/3=7
