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MrRissso [65]
4 years ago
12

All help is appreciated! If sin²(32°) +cos² (M) = 1, then M equals?

Mathematics
1 answer:
zaharov [31]4 years ago
4 0

Answer: M=32°

Step-by-step explanation:

The identity sin²(x)+cos²(x)=1 can help us figure out the value of M. You can see that the problem's format fits exactly the identity. Since x is the same in the identity, we know that M=32°.

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Based on the polynomial remainder theorem, what is the value of the function when x = 4? f(x)=x4−2x3+5x2−20x−4
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The answer is f(x) = 124
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Consider the points below. P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
Zina [86]

Answer: the vector orthogonal is  ( 0, 26, -13 )

Step-by-step explanation:

Given that;

P(2, 0, 2),  Q(−2, 1, 4), R(7, 2, 6)

PQ = Q - P = (−2, 1, 4) - (2, 0, 2) = (-4, 1, 2)

PR = R - P = (7, 2, 6)  - (2, 0, 2) = ( 5, 2, 4)

SO

orthogonal vector = PQ × PR

= ║ i    j    k

    -4   1   2          = i(1×4 - 2×2) + j(5×2 - (-4×4)) + k(-4×2 - 5×1) = 0i + 26j - 13k

     5   2   4  ║

= ( 0, 26, -13 )

Therefore the vector orthogonal is  ( 0, 26, -13 )

3 0
3 years ago
Which of the following are true? Select all that apply.
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Answer:

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Answer:

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4 0
3 years ago
Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown
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Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

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Thus:

y = 5*5 = 25 miles

5 0
3 years ago
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