Answer:
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Step-by-step explanation:
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F(-5) = -5^2 - 2*(-5) - 7 = 25 - (-10) - 7 = 25 + 10 - 7 = 25 + 3 = 28
You have to build the triangles.
They are such that:
h is the common height
x is the horizontal distance from the plane to one stone
Beta is the angle between x and the hypotenuse
Then in this triangle: tan(beta) = h / x ......(1)
1 - x is the horizontal distance from the plane to the other stone
alfa is the angle between 1 - x and h
Then, in this triangle: tan (alfa) = h / [1 -x ] ...... (2)
from (1) , x = h / tan(beta)
Substitute this value in (2)
tan(alfa) = h / { [ 1 - h / tan(beta)] } =>
{ [ 1 - h / tan(beta) ] } tan(alfa) = h
[tan(beta) - h] tan(alfa) = h*tan(beta)
tan(beta)tan(alfa) - htan(alfa) = htan(beta)
h [tan(alfa) + tan(beta) ] = tan(beta) tan (alfa)
h = tan(beta)*tan(alfa) / (t an(alfa) + tan(beta) )
Since the problem stated that 7/9 of the participants were from Wisconsin, so 2/9 of it were not from Wisconsin. Now out of 7/9 participants, 3/5 of them were 12 years old, so 2/5 of them are not 12 years old. Since we now know the fractions, we'll get the equation 7/9 x 3/5 multiply 7 and 3 then divide it to the product of 9 and 5 to have the answer of 7/15. 7/15 of the participants of the camp in Green Bay is from Wisconsin and are 12 years old.
