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valkas [14]
1 year ago
13

Help with Trigonometric identities

Mathematics
1 answer:
Gre4nikov [31]1 year ago
3 0

Answer:

Option 2

Step-by-step explanation:

Since theta is in the third quadrant, the sine of theta is negative.

By the Pythagorean identity,

\sin \theta=-\frac{\sqrt{105}}{13}

So, using the double angle formula for sine, we get that

\sin 2\theta=\frac{16\sqrt{105}}{169}

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3. Which inequalities show a correct relationship between expressions?
igomit [66]

Answer: a and d

Step-by-step explanation:

First of all, we need to make a analysis of each letters:

a. factoring 32 = 2.2.2.2.2 = 2^{5}

2^{5}^{3} = 2^{15}

then,

16 = 2^{4}

but 2^{4}^{4} =2^{16}

in conclusion that, this inequality is correct

b. 27 =  3^{3}

this first situation is equal to  3^{9}

the second situation is:

81 =  3^{4}

and  3^{4}^{4} = 3^{16}

it's a mistake.

c. factoring 9: 9 = 3^{3}

3^{9} <  3^{5}

it's wrong.

d. factoring 8 = 2^{3}

factoring 32 =  2^{5}

2^{12} >  2^{10}

This is true.

Finally.. our correct answers is a and d.

3 0
3 years ago
Slope intercept of 5x+2y= -2
Marianna [84]

Answer:

Step-by-step explanation:

5x + 2y = - 2

2y = - 5x - 2

y = -\frac{5}{2} x - 1

5 0
3 years ago
A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?
slavikrds [6]
The correct answer for this question is that the unit rate is 5:1. We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.
5 0
2 years ago
On a map with a scale of 1:24,000, a measured distance of one inch represents an actual distance of ___ feet.
dem82 [27]
The answer:  " 2,000 (feet) " .
___________________________________________
 1 measured in. = 24,000 actual inches.

24,000 inches = _?_ ft.  
___________________________________________
Note:  12 in.  = 1 ft. (exact conversion) ;

24,000 in. * (1 ft. / 12 in) = (24,000 / 12) ft. = 2,000 ft.
_____________________________________________

The answer is:  2000 ft.
______________________________________________
5 0
3 years ago
Write or draw to explain how you will find the total value of $1 bills and 3 quarters.
Rzqust [24]
"if you break down a $1 bill, it is 4 quarters. If you add the 4 quarters to the other 3 then you will get the sum of 7."

Hope this helps!
5 0
3 years ago
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