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3 years ago

I WILL MARK BRAINIEST

Mathematics

1 answer:

shusha [124]3 years ago

7 0

Answer:

x=65

Step-by-step explanation:

x+65=2x

-x -x

----------------

65=x

<h2>Brainliest please</h2>

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kate spent 3/5 of her money on a manicure and had $45 left. how much money did she have at first?(PLEASE SHOW STEPS!)

prisoha [69]

Lets say she has x money

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2/5*x=45
x=112.5

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3 years ago

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Which option shows a graph of 3y+18>5x

Gnesinka [82]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$3y+18 > 5x$

The solution of the inequality is the shaded area above the dashed line

The equation of the dashed line is $3y+18=5x$

The slope of the dashed line is positive (m=5/3)

The x-intercept of the dashed line is (3.6,0) (value of x when y is zero)

The y-intercept of the dashed line is (0,-6) (value of y when x is zero)

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The graph in the attached figure

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4 years ago

given: sin theta= 2/3 and theta is in the second quadrant; evaluate the following expression. sin2theta

andre [41]

The value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

<h3>Sine ratio </h3>

The sine ratio is given as:

$\sin(\theta) = \frac23$

<h3>Trigonometry</h3>

In trigonometry, we have the following ratio

$\sin^2(\theta) + \cos^2(\theta) = 1$

Substitute $\sin(\theta) = \frac23$ in the above equation

$\frac 23 + \cos^2(\theta) = 1$

Collect like terms

$\cos^2(\theta) = 1 -\frac 23$

Evaluate

$\cos^2(\theta) =\frac 13$

Take square roots

$\cos(\theta) =\pm\frac 1{\sqrt 3 }$

Rationalize

$\cos(\theta) =\pm\frac {\sqrt 3 }3$

From the question, $\theta$ is in the second quadrant, and cosine is negative.

So, we have:

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

In trigonometry, we have:

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)$

So, we have:

$\sin(2\theta) = 2\times \frac 23 \times -\frac {\sqrt 3 }3$

$\sin(2\theta) = -\frac {-4\sqrt 3 }9$

Hence, the value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

Read more about trigonometry ratios at:

brainly.com/question/10417664

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