Answer:
x=50
Step-by-step explanation:
Look at the triangle as a whole. This is a 30-60-90 triangle by speculation. You can see that the hypotenuse is equal to 100. By using sine (you can use cosine as well) , you get the expression, "(sin 30 degrees) = x/100" since sin is the opposite side over the hypotenuse. Do some basic trigonometry to get "1/2 = x/100". By now, you should know that 50/100 is the same as 1/2.
The answer is 62/25.
hope i helped^_^
Sqrt(12^2 - 6^2) = sqrt(144-36) = sqrt(108) = 6sqrt(3)
Let f and e represent the amount of 40% and 80% solutions used...
We are told the f+e=20 which means that f=20-e and we can say that:
(.4f+.8e)/20=.7, using f=20-e in this equation we see that:
.4(20-e)+.8e=14
8-.4e+.8e=14
8+.4e=14
.4e=6
e=15, and since f=20-e then
f=5
So 15 quarts of 80% solution is mixed with 5 quarts of 40% solution to produce a 20 quart mixture of 70% solution.
Answer:
y is 8/5 when x = -4.
Step-by-step explanation:
If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.
If "y=-8,when x=20," then we can find k: -8 = 20k, or k = -2/5.
Then y = (-2/5)x.
If x = -4, then y = (-2/5)(-4) = 8/5
y is 8/5 when x = -4.
