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aleksklad [387]
2 years ago
12

Just need help on first one.​

Mathematics
1 answer:
Nataly [62]2 years ago
7 0

Answer:

1st one because they make less than the actual house

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Median 4 Mean 5.5 Mode 2

Step-by-step explanation:

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Tessa takes her friends out to lunch and the total cost of the meal is $120.30. Tessa left a 20% tip for the waitress. How much
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(Photo attached) Trig question. Thanks in advance! :)
kolbaska11 [484]

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

__

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

__

b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)

  = sin(-15.8074°)

  sin(β -α) ≈ -0.2724

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3 years ago
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Mila [183]

Answer:

Not sure if this is right but 2.

Step-by-step explanation:

Subtract 37,746ft (at 60 second mark) by 9,872ft (at 30 second mark) and as it asks for per second, 37,746-9,874=27,872 27,872/30= 929.1

6 0
2 years ago
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