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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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evablogger [386]

If 2a−b/6 = b/3, then ratio a:b = 3 : 2

<h3><u>Solution:</u></h3>

Given that 2a−b/6 = b/3

We have to find the ratio of a:b

In mathematics, a ratio indicates how many times one number contains another

A ratio between two or more quantities is a way of measuring their sizes compared to each other

let us first solve the given expression

\frac{2a -b}{6} = \frac{b}{3}

On cross multiplication we get,

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6a = 6b + 3b

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To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number

Therefore ratio a:b = 3 : 2

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3 years ago
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leva [86]
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5 0
2 years ago
To make a specific shade of green paint, Timia mixes 2 cups of blue paint with 10 cups of yellow point. How many cups of yellow
7nadin3 [17]

Answer:

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Step-by-step explanation:

Given

2 cups of blue = 10 cups of yellow

Required

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The given parameter shows a linear relationship between paints of blue and paints of yellow

We have:

2 cups of blue = 10 cups of yellow

Multiply both sides by 0.5

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