Yes. I just did this question on a test actually
Answer:
Step-by-step explanation:
1. Y varies jointly as R and T
Y = k*R*T
Y = kRT
Where,
k = constant of proportionality
2. B is directly proportional to the square of A and inversely proportional to the cube of C.
B = k(A²) / C³
B = kA²/C³
Where,
k = constant of proportionality
Answer:
15%
Step-by-step explanation:
We have the followign simple interest formula
FV (aka AV)=PV(1+it)
which means that we have
(800+360)=800(1+3i)
1.45=1+3i
.45=3i
.15=i
15%
Answer:
There would have to be -6
Step-by-step explanation:
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) )
