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3 years ago

I need help with these 3 problems plz explain!:)

Mathematics

1 answer:

steposvetlana [31]3 years ago

4 0

14.
4(5.6) = 4(6.0 - 0.4) = 4(6.0) - 4(0.4) = 22.4

16.
4(6 + 7) = 4(6) + 4(7) = 52

18.
14(10 - 5) = 14(10) - 14(5) = 70

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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

7 0

2 years ago

Please help me thanks very much

emmasim [6.3K]

Answer is D
BE

hope it helps

6 0

3 years ago

Each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate?

Natasha2012 [34]

three and one third

7 0

3 years ago

Read 2 more answers

Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7

marusya05 [52]

Answer:

mode is 7, mean, 6.3 repeating, median 7

Step-by-step explanation:

4 0

3 years ago

Solve for what x= and y=

SVEN [57.7K]

Answer: x = 19; y = 98

because 2 lines are parallel

=> y - 28 + 110 = 180

5x + 15 = 110

<=> y = 180 - 110 + 28

x = (110 - 15)/5

<=> y = 98

x = 19

Step-by-step explanation:

3 0

3 years ago