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leonid [27]
3 years ago
11

Find sin(C). round to the nearest hundredth if necessary.

Mathematics
2 answers:
natka813 [3]3 years ago
6 0

For this case we have to define trigonometric relations of rectangular triangles that the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. That is to say:

Sin (C) = \frac {5} {13}\\Sin (C) = 0.38

Answer:

Option A

Basile [38]3 years ago
5 0

Answer:

A) 0.38

Step-by-step explanation:

By SOH CAH TOA, the <em>sine of an angle is its opposite side divided by the hypotenuse</em>.

<em>The opposite of ∠C is 5, and the hypotenuse is 13</em>.

So, sin(C) = 5/13 ≈ 0.38.

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Answer:

Christian will catch up with Andrew at 4 PM.

Step-by-step explanation:

We use the equations of their positions to solve this question. This equation has the following format:

S(t) = S(0) + at

In which S(t) is the position after t hours, S(0) is the initial position, and a is their speed.

Andrew starts walking at noon, Christian at 1.

We can model the equations starting from 1.

Andrew:

Starts at noon, 3 mph.

So at 1, when Christian starts walking, he is at the mile 3. So S(0) = 3. 3mph, a = 3. So

S_{a}(t) = 3 + 3t

Christian:

Starts at 1, 4 mph.

So at 1, he is at the position 0. So S(0) = 0. 4 mph, so a = 4.

S_{c}(t) = 4t

What time will Christian catch up with Andrew?

t hours after Christian starts walking(which is 1 pm).

t is found when

S_{c}(t) = S_{a}(t)

4t = 3 + 3t

t = 3

3 hours after 1 PM, which is 4PM.

Christian will catch up with Andrew at 4 PM.

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