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
I think there's an image needed to answer this question?
I tried answering without, but you do need the image.
If the length is 40 and the width is 25, the ration of length:width is 40:25.
This can be simplified to 8:5
So the answer would be any drawing with the following dimensions:
1. length 8 ft and width 5 ft
2. length 16 ft and width 10 ft
3. length 24 ft and width 15 ft
4. length 32 ft and width 20 ft
5. length 40 ft and width 25 ft
It's most likely not the last 3 because the sizes are very big, but yeah a scale drawing maintains the same ratio so I assume one of the options for your answers is gonna be one of the answers from 1 - 4 above (5 is the given dimensions so I highly doubt that's the answer)
Answer:
C.
Step-by-step explanation:
-a + b = -2
b = a + 3
-a + a + 3 = -2
3 = -2 (incorrect).....no solutions.....because these lines are parallel
Answer:
10
Step-by-step explanation:
F(0) = 3^2+1=9+1=10
