Answer:
Volume = 0.1696 L
The formula is Area of base of refraction cup × Depth of the refraction cup
Step-by-step explanation:
The dimensions of a refraction cup are;
Diameter = 120 mm
Depth = 30 mm
Therefore, volume of the refraction cup = Area of base × Depth
Volume of the refraction cup = (π×120²/4)/2 × 30 = 169646.003 mm³
1 L = 1000000 mm³
Therefore, 169646.003 mm³ = 169646.003/1000000 m³ = 0.1696 L
The formula is Area of base of refraction cup × Depth of the refraction cup.
Answer:
A. Measure of angle A + measure of angle B
Step-by-step explanation:
Because angle 4 is an exterior angle of given triangle which will be equal to the Measure of angle 2 + measure of angle 3
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) )
Cos(x) = 50/100
part a) x= 60°
<span>part b) height is 86.60254040</span>
