Select the correct answer from each drop-down menu.

Mathematics

1 answer:

kifflom [539]3 years ago

3 0

Answer:

0.83
0.9
steeper than
slower than

Step-by-step explanation:

Letting t=1 in Ted's equation, we find that he climbs 5/6 stairs in 1 second. As a decimal, 5/6 ≈ 0.83.

Michael climbs 9 stairs in 10 seconds so his rate is ...

... (9 stairs)/(10 seconds) = (9/10) stairs/second = 0.9 stairs/second

Michael's graph will be a line with a slope of 0.9; Ted's graph will be a line with a slope of about 0.83, so the line on Michael's graph is steeper.

Ted climbs fewer stairs per second, so his rate is slower than Michael's.

_____

<em>Comment on the problem</em>

You're being asked to compare two different rates that are associated with two different people. First the comparison is one way, then it is the other way. This can be confusing. It might be helpful to draw and label a simple chart to help you keep it straight. (The attachment is such a chart scribbled on a bit of scratch paper. It is sufficient for the purpose.)

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What's the question?

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3 years ago

If cos(θ) = 6/8 and θ is in the IV quadrant, then fine:

svetoff [14.1K]

Answer:

a) 1

b) $\frac{4}{3}$

c) = 1

Step-by-step explanation:

We are given the following in the question:

$\cos \theta = \dfrac{6}{8}$

θ is in the IV quadrant.

$\sin^2 \theta + \cos^2 \theta = 1\\\\\sin \theta = \sqrt{1-\dfrac{36}{64}} = -\dfrac{2\sqrt7}{8}\\\\\tan \theta = \dfrac{\sin \theta}{\cos \theta} = -\dfrac{2\sqrt7}{6}\\\\\csc \theta = \dfrac{1}{\sin \theta} = -\dfrac{8}{2\sqrt7}$

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$\tan \theta\times \cot \theta =\tan \theta\times\dfrac{1}{\tan \theta} = 1$

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5 0

3 years ago

Rhetta has a glass case in the shape of a square pyramid. One of the side of the square base is 8 in. long and the volume of the

Annette [7]

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