The line segment with endpoints (−20, 21) and (0, 0) is graphed on the standard coordinate plane and makes an angle, Θ, with res
pect to the x axis. What is cos Θ?
1 answer:
We have that
<span> points (−20, 21) and (0, 0)
Let
A----> </span>(−20, 21)
B-----> (0, 0)
using a graph tool
see the attached figure
step 1
find the distance AB
<span>applying the Pythagorean theorem
</span>
AB²=20²+21²--------> 841---------> AB=√841-------> 29
AB=29 units
cos <span>Θ=20/29-------> 0.6897
</span>
the angle <span>Θ belong to the second quadrant
therefore
the cos</span><span>Θ is negative
the answer is
the cos </span>Θ is -0.6897
<span> points (−20, 21) and (0, 0)
Let
A----> </span>(−20, 21)
B-----> (0, 0)
using a graph tool
see the attached figure
step 1
find the distance AB
<span>applying the Pythagorean theorem
</span>
AB²=20²+21²--------> 841---------> AB=√841-------> 29
AB=29 units
cos <span>Θ=20/29-------> 0.6897
</span>
the angle <span>Θ belong to the second quadrant
therefore
the cos</span><span>Θ is negative
the answer is
the cos </span>Θ is -0.6897
You might be interested in
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)