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ANTONII [103]
3 years ago
5

How do you solve this?

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

\dfrac{\pi}{2}\leq A\leq\pi\\\\\sin A=\dfrac{3}{5}\\\\\sin2A=2\sin A\cos A\\\\\text{we know}\ \sin^2 x+\cos^2x=1\\\\\text{then}\\\\\left(\dfrac{3}{5}\right)^2+\cos^2A=1\\\\\dfrac{9}{25}+\cos^2A=1\ \ \ \ |-\dfrac{9}{25}\\\\\cos^2A=\dfrac{16}{25}\to\cos A=\pm\sqrt{\dfrac{16}{25}}\\\\\cos A=\pm\dfrac{4}{5}\\(\dfrac{\pi}{2}\leq A\leq\pi\to\cos A < 0)\\\text{therefore}\ \cos A=-\dfrac{4}{5}

\text{substitute}\\\\\sin2A=2\sin A\cos A=2\cdot\dfrac{3}{5}\cdot\left(-\dfrac{4}{5}\right)=-\dfrac{24}{25}

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Simplifying exponents (picture provided)
Hitman42 [59]

Answer:

<em>3^2 ; Option B</em>

Step-by-step explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

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<em>3^2 ; Option B</em>

7 0
3 years ago
Read 2 more answers
Can someone help me plzzzzzz
Alex
Big rectangle
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=6x^2-2x-8 = 3x^2-x-4

Small rectangle
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3 years ago
Find the value of 81 3x
mezya [45]

Answer:

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7 0
1 year ago
How to algebraically find the limit of a function as x approaches infinity?
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Formula Example:
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5 0
3 years ago
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denis23 [38]

Answer:

3. undefined (vertical line)

4. 1

7. -4

8. 3

11. undefined (vertical line)

12. -1/3

Step-by-step explanation:

You can use the slope formula to calculate the slope which is (y2-y1)/(x2-x1)

3. (-4 - (-2)) /  (6-6)  denominator is 0 here so the slope is undefined (vertical line)

4. (7 - 1) / (-2 - (-4)) = 6 / 6 = 1

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7 0
2 years ago
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