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3 years ago

7/5+(-5/12) in commutative property (addition)

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

7 0

Answer:

0.93

Step-by-step explanation:

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PLEASE HELP ME GIVING 30 POINTS!!!

kramer

Using trigonometric identities, it is found that the sine and the tangent of the angle are given as follows:

$\sin{\theta} = \frac{1}{2}$ .

$\tan{\theta} = -\frac{\sqrt{3}}{3}$

<h3>How do we find the sine of an angle given the cosine?</h3>

We use the following identity:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

In this problem, the cosine is:

$\cos{\theta} = -\frac{\sqrt{3}}{2}$

Hence the sine is found as follows:

$\sin^{2}{\theta} + \left(-\frac{\sqrt{3}}{2}\right)^2 = 1$

$\sin^{2}{\theta} + \frac{3}{4} = 1$

$\sin^{2}{\theta} = \frac{1}{4}$

$\sin{\theta} = \pm \sqrt{\frac{1}{4}}$

Second quadrant, so the sine is positive, hence:

$\sin{\theta} = \frac{1}{2}$

<h3>What is the tangent of an angle?</h3>

The tangent is given by the <u>sine divided by the cosine</u>, hence:

$\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}$

Hence:

$\tan{\theta} = \frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2}}$

$\tan{\theta} = -\frac{1}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

$\tan{\theta} = -\frac{\sqrt{3}}{3}$

More can be learned about trigonometric identities at brainly.com/question/7331447

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5 0

1 year ago

If h(x) = 2/3x -9, find h(-6)

Maurinko [17]

Step-by-step explanation:

$h(x) = \frac{2}{3} x - 9$

$h( - 6) = \frac{2}{3} ( - 6) - 9$

$= - 4 - 9$

$= - 13$

3 0

2 years ago

After 5 years, Marcel's account earned $900 in interest. If the interest rate (in decimal form) is 0.06, how much did Marcel ini

Natasha2012 [34]

Answer:

$3000

Step-by-step explanation:

I= PRT÷100

where,

I = interest = 900

T= 5

R/100 = 0.06

P = ?

I= PRT/100

900= P × 5 × 0.06

P = 900÷ 0.3

P= 3000

5 0

2 years ago

If you make $11/hr and you work 40hours weekly and taxes taken out $240 how munch did you made it total.

Juliette [100K]

Answer:I think it would be 200

Step-by-step explanation:

Because 11x40 is 440 and take away 240 and it’s 200

6 0

2 years ago

Read 2 more answers

The sum of two numbers is 14. When one number is added to twice the other number, the result is 25. Find the numbers

ELEN [110]

Let x and y be the two numbers. We have:

$\begin{cases}x+y=14\\x+2y=25\end{cases}$

Subtract the first equation from the second to get

$y=11$

And deduce

$x+11=14 \iff x=3$

The two numbers are 3 and 11.

5 0

2 years ago