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kondor19780726 [428]
3 years ago
10

If θ is a first-quadrant angle in standard position with P(u, v) = (3, 4), evaluate cos 2 θ . -7/25 -1/5 7/25

Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer:

-7/25.

Step-by-step explanation:

From the given point P we see that the hypotenuse =  √(3*2 + 4^2) = 5.

So cos  θ = 3/5

cos 2 θ =  2 cos^2 θ - 1

= 2 * (3/5)^2 -1

= -7/25.

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One side of a rectangle is 3 times the length of another side. The difference in their lengths is 10 feet
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Answer:

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Step-by-step explanation:

<em>The question is to find the lengths of 2 sides of the rectangle</em>.

<u>Solution:</u>

Let shorter side be "x"

Let longer side be "y"

From the question, we can write:

y = 3x

also

y - x = 10

Now, putting the first on second equation, we get:

y - x = 10

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2x = 10

x = 10/2 = 5

Now, y = 3x, y = 3(5) = 15

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