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:
Hey! I believe this is your answer:
4 glasses
Hope this helped!
Step-by-step explanation:
Answer:
y=8(0.5)^x
Step-by-step explanation:
We can find the value of b, which is the rate. The rate is 0.5 because the y value is consistently going down by 2. A is the first value, which is 8. y=8(0.5)^x
Answer:
i think its C but not sure
Step-by-step explanation:
y = A(Bx - C)ⁿ + D
A is a vertical stretch (or shrink if |A| < 1)
B is a vertical shrink (or stretch if |B| < 1)
C is a shift to the right (or left if C is negative) → notice that Bx - C is "-C" so to take the opposite
D is a shift up (or down if D is negative)
when C = -3, it is a shift to the left 3 units
when D = -7, it is a shift down 7 units
Answer: B
