Answer:
Step-by-step explanation:
<u>Given sides of a rectangle</u>
- Length: l =4 − 7(3x + 4y)
- Width: w = 3x(−2y)
<u>Perimeter of rectangle</u>
<u>Using the given values</u>
- P = 2( 4- 7(3x + 4y) + 3x(-2y)) =
- 2( 4 - 21x - 28y - 6xy) =
- 8 - 42x - 56y - 12xy
Answer:
to get ur answer take 11 from 14
Step-by-step explanation:
just beacuse it is inbetween 10-20 jhahahhahaha
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
