Answer:
5√3
Step-by-step explanation:
The ratio of side lengths in a 30-60-90 triangle is ...
1 : √3 : 2
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Multiplying by 5, we have ...
1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10
The value of y is 5√3.
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<em>Additional comment</em>
y is the side adjacent to the 30° angle, so can be found from ...
Cos = Adjacent/Hypotenuse
Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse
y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values
y = 5√3
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The value of x is 5.
Answer:
TU = 2.5
Step-by-step explanation:
sin 34 = 1.4/TU
0.5592 = 1.4/TU
TU = 2.5
This is just some pythagorean theorem, or a^2 + b^2 = c^2. We have a and b, which is 9 and 12, and we need to find c. To find c, we need to first square those, giving u 81 and 144. Now, we need to add them, giving us 225, meaning c^2 = 225. However, we need to find c on its own, so we have to find the square root of 225. That would be 15.
There are 72 different ways the director can fill the positions.
(1+2+3+4+5+6+7+8) x 2
You multiply it by 2 because there are going to be 4 other people who will not have a position, and 8/4 is 2.