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dalvyx [7]
3 years ago
11

Cos(sin^-1(24/26) Use a sketch to find the exact value of the following expression

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0
Hello,

Let y=sin^(-1)(12/13.
==>sin y=12/13
==>cos y=√(1-(12/13)²)=√(25/169)=5/13

Answer 5/13

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Which statement describes the lines whose equations are y=1/3x+12 and 6y=2x+6
ICE Princess25 [194]
First, you should solve both equations for the same variable. Since the first one is already solved for y, solve the second equation for y as well.

6y = 2x + 6   Divide both sides by 6
y = \frac{1}{3}x + 1

You can see that both lines have a slope of \frac{1}{3}.
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4 0
3 years ago
It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.
vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

y\ \alpha\ \frac{1}{x^2}

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

y\ = \ \frac{k}{x^2}

Where k is the constant of proportionality

When x decreased by 50%

Y = \frac{k}{(x - 0.5x)^2}

Y = \frac{k}{(0.5x)^2}

Y = \frac{k}{0.25x^2}

Expand

Y = \frac{1}{0.25} * \frac{k}{x^2}

Substitute \frac{k}{x^2} for y

Y = \frac{1}{0.25} * y

Y = 4 * y

Y = 4 y

The percentage change is then calculated as:

\%Change = \frac{Y - y}{y} * 100\%

\%Change = \frac{4y - y}{y} * 100\%

\%Change = \frac{3y}{y} * 100\%

\%Change = 3 * 100\%

\%Change = 300\%

<em>The percentage in y is 300%</em>

7 0
3 years ago
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Elis [28]

<u>Answer</u> i think the first one goes down by .3 every time but i am not 100$

Step-by-step explanation:

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