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3 years ago

Answer for brainliest

Mathematics

2 answers:

Kipish [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Lelechka [254]3 years ago

7 0

Answer:

Y = 2x. it is given

now , 2x + 2y = 30

now putting y = 2x ,. in ( 2x + 2y) = 30

hence ,.2x + 4x = 30

6x = 30

x= 5

now ,y= 2x

y = 10

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Two angles of a quadrilateral measure 107° and 115°. The other two angles are in a ratio of 5:18. What are the measures of those

puteri [66]

Answer:

Interior angle of quadrilateral is 360

Sum of the two known angles 222

The sum of the other two is 360-222=138

Ratio 5:18

A=5/23*138=30

B=18/23*138=108

Step-by-step explanation:

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3 years ago

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

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You would distribute -4(3 - 5x) into looking like:

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-12 + 20x ≥ -6x + 9

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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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2 years ago