Using trigonometric relations, we will see that:
sin(θ ) = -0.8
<h3>
How to get the sine of the angle?</h3>
For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:
θ = Atan(y/x)
In this case, the point is (3, -4), then the angle is:
θ = Atan(-4/3) = -53.13°
Then the sine of theta is:
sin(θ = -53.13°) = -0.8
If you want to learn more about trigonometric functions:
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Answer:
34
Step-by-step explanation:
Given that
2x - 7 = 9 ← solve for x
Add 7 to both sides
2x = 16 ( divide both sides by 2 )
x = 8
Substitute x = 8 into 5x - 6
5x - 6 = (5 × 8) - 6 = 40 - 6 = 34
-1 1/4 as a decimal would be -1.25.
Since -1 is a whole number we would just write that as -1. 1/4 as a decimal is .25.
Answer:
<em> 85% level of the confidence interval is</em>
<em>(26.337, 26.662)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given the size of the sample 'n' = 295
Mean of the sample x⁻ = 26.5
The Standard deviation of the Population = 2.7
85% level of the confidence interval is determined by
Critical value Z₀.₁₅ = 1.036
<em> 85% level of the confidence interval is determined by</em>
( 26.5 - 0.1628 , 26.5+0.1628)
(26.3372,26.6628)
