That slope appears to be 4/6 or 2/3.
The perpendicular slope will have the opposite sign and be the reciprocal.
The perpedicular slope is –3/2.
He paid ...
-- The cost of the lunches (100% = 1.00 of it)
-- 15% of the cost as a tip (15% = 0.15 of it)
-- 12% of the cost as sales tax (12% = 0.12 of it)
Total that he paid = (1.00 + 0.15 + 0.12) = 1.27 of $248.40
= $315.47 .
Trevor is one generous guy !
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) )
Answer:
10-2x
Step-by-step explanation:
If x is the length of one side of the square, the total width of the cardboard has two squares cut from it. The amount of width remaining is the width of the box. Since the original width of the cardboard is 10, the width of the box is ...
10 -2x
Divide by 1.8
x = around 35.56
