Answer:
26
Step-by-step explanation:
5 × 4 = 20 (rectangle)
8-5 = 3 (triangle)
3×4÷2 = 6
20+6 = 26
Answer:
Step-by-step explanation:
3x+6=-5-2x-6
+2x. +2x
5x+6= -5-6
5x+6= -11
-6. -6
5x= -17
divide by 5
x= -3.4
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
Answer:
35/3x +200 = # of calories
Step-by-step explanation:
35/3 = calories burnt in 1 minute
x = minutes exercised for
add 200 to account for calories eaten
35/3x +200 = y
0.0034, This should be the decimal
