Answer:
Improper its 81/10
Step-by-step explanation:
8 1/10~ we should multiply denominator with whole number then add numerator:
10 x 8 = 80+ 1 = 81
In improper its- 81/10
Hope this helps :D
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) )
Because both of the polygons are congruent and are flipped so there for they are the same angle
Using the Pythagorean theorem:
6^2 + X^2 = 14^2
36 + x^2 = 196
X^2 = 196-36
x^2 = 160
x = SQRT(160)
x = 4 SQRT(10)
Or as a decimal:
x = 12.65 inches
Answer:
months
Step-by-step explanation:
Given that company
charges
upfront and
per month and company B does not charge the upfront fee but charges
per month.
Let after
months both the company charges the same amount.
Total charges by the company
and total charges by the company
.
Now, from the given condition both the charges are equal, so

Hence, after
months both the company charges the same amount.