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Lina20 [59]
3 years ago
11

1/2 - 20 [ 14- 3 4/15] / 6/5 ^2

Mathematics
1 answer:
lidiya [134]3 years ago
6 0

Step-by-step explanation:

<em>hope</em><em> it's</em><em> helpful</em><em> for</em><em> you</em>

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Step-by-step explanation:

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Find the exact value of cos(theta) for an angle (theta) with tan (theta)= -2/3 and with its terminal side in Quadrant II.
Naya [18.7K]

Answer:

-\frac{3\sqrt{13}}{13}.

Step-by-step explanation:

Since we are in quadrant two, cosine value is negative while sine value is positive.

We are going to use the Pythagorean Identity: 1+\tan^2(\theta)=\sec^2(\theta).

1+(\frac{-2}{3})^2=\sec^2(\theta)

1+\frac{4}{9}=\sec^2(\theta)

\frac{9+4}{9}=\sec^2(\theta)

\frac{13}{9}=\sec^2(\theta)

\pm \sqrt{\frac{13}{9}}=\sec(\theta)

\pm \frac{\sqrt{13}}{3}=\sec(\theta)

Since cosine and secant are reciprocals then they will have the same sign as along as they both exist.

\sec(\theta)=-\frac{\sqrt{13}}{3}

\cos(\theta)=-\frac{3}{\sqrt{13}}.

I don't see this answer as I'm going to rationalize the denominator.

\cos(\theta)=-\frac{3}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}.

\cos(\theta)=-\frac{3\sqrt{13}}{13}.

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4 years ago
A mother is currently 7 times older than her son. In 2 years time, she will be 5 times older than her son.
shtirl [24]

Answer:

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Step-by-step explanation:

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4 years ago
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Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function i
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Answer:

Input

Independent variable

Step-by-step explanation:

we know that

<u><em>Independent variables</em></u>, are the values that can be changed or controlled in a given model or equation

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we have the function

d(t)=50t

In this problem

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

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3 years ago
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