Side adjacent to the given angle: x
Diagonal=hypotenuse=20
cos (36° 42') =(side adjacent to angle 36° 42')/Hypotenuse
cos (36° 42')=x/20
Solving for x. Multiplying both sides of the equation by 20:
20 cos (36° 42')=20 (x/20)
20 cos (36° 42')=x
x=20 cos (36° 42')
x=20 (0.801775644)
x=16.03551288
x=16.04
Answer: Option D. 16.04
Answer:
0.16 liters of water
Step-by-step explanation:
Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.
The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.
Samantha will use 0.16 liters of water to make 0.48 liters of solution.
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Alternate solution
The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.
Problem set A: A=6 and B=2
6=AxB^0 [6=6x1]
24=AxB^2= [24=6x2^2]
Problem set B: A=2 and B=4
32=AxB^2 [32=2x4^2]
128=AxB^3 [128=2x4^3]
