Answer: Choice A) 4/5

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Work Shown:

cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5

The fact that sine is positive in quadrant 2 means that the result is positive.

8 0

2 years ago

Which graph has an amplitude of 1/2?

Serjik [45]

Answer:

Step-by-step explanation:

The only graph shown in the question doesn't have amplitude 1/2. look for a graph of a periodic wave function that has maximum y-value 1/2 (0.5) and minimum y-value 1/2 (0.5), or if it is not oscillating around the x-axis, verifies that the distance between minimum y-value and maximum y-value is "1" (one). This is because the amplitude is half of the peak-to-peak distance.

Look at the attached image as example.

8 0

3 years ago

Which of the following is the result of the equation below after completing

ICE Princess25 [194]

Answer:

Step-by-step explanation:

${x}^{2} + 5x + 8 = 4 \\ = > {x}^{2} + 2 \times \frac{5}{2} \times x + \frac{25}{4} + \frac{7}{4} = 4 \\ = > ({x + \frac{5}{2} }^{2} ) + \frac{7}{4} = 4 \\ = > ({x + \frac{5}{2} }^{2} ) = \frac{9}{4}$

6 0

3 years ago