Part A :
x - the total amount of liters of lemon juice and water in the bottle
0.6 x + 1 = x
Part B :
x - 0.6 x = 1
0.4 x = 1
x = 1 : 0.4
x = 2.5 lit.
Lemon juice: 2.5 * 0.6 = 1.5 lit.
Answer:
I couldn't see the picture it is black
Step-by-step explanation:
the formula for the area of a trapezoid is:

insert 7 for b1, 13 for b2, and 10 for h

100
Hope that helps
Answer:
a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft
b) The length of the beam is approximately: 10.4 ft
Step-by-step explanation:
First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:
tan(angle) = opposite side / adjacent side
We know the angle and the opposite side and we want to find the adjacent side:
adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft
In order to find the length of the light beam, we use Pythagoras Theorem:
leg1²+leg2² = hyp²
Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:
hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft
Answer:y=0.096x+10.944
Step-by-step explanation:
I did the math