We begin with 100 mL of the 2% saline solution, and will add x mL of the 0.5% saline solution. The total volume of the mixture will be (100 + x) mL. The total mass of salt will be:
(100)(2%) + (x)(0.5%) = 2 + 0.005x
This would have to be 0.79% of the total volume:
(100+x)(0.79%) = 0.79 + 0.0079x
Equating:
x = 417.24 mL
Let the width = x
the length = x+7
=> Area equation = length x width = x(x+7) = x^2 +7x = 78
=> x^2+7x -78 = 0
=> (x-6)(x+13)=0
=> x=6 or x=-13(no)
=> the width = 6 m
=> the length = 6+7= 13 m
Answer:
x = 24.0
y = 46.4
Step-by-step explanation:
Let opposite side = z
Using trigonometry :
Sin 30 = z / 34
z = 0.5 * 34
z = 17
We find x :
Sin 45 = 17 / x
x * sin45 = 17
x = 17 / sin 45
x = 24.04
Let y = y1 + y2
y1 = 17 / tan45
y1 = 17
y2 = 17/tan30
y2 = 29.44
y = 17 + 29.44
y = 46.44
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Answer:
(1.5, -13.5)
Step-by-step explanation:
Midpoint Formula: 
Simply plug in our coordinates into the formula:
x = (17 - 14)/2
x = 3/2
y = (-11 - 16)/2
y = -27/2
