Answer:
22 miles per hour
Step-by-step explanation:
Against the current, the boat's rate of travel is ...
(120 mi)/(6 h) = 20 mi/h
With the current, the boat's rate of travel is ...
(120 mi)/(5 h) = 24 mi/h
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The sum of boat speed (b) and current speed (c) is 24 mph. The difference is 20 mph. This lets us write the equations ...
b + c = 24
b - c = 20
Adding these two equations together, we get ...
2b + 0c = 44
b = 22 . . . . . . . . divide by 2
The rate of the boat in still water is 22 miles per hour.
So-called simplifying, really means, "rationalizing the denominator", which is another way of saying, "getting rid of that pesky radical in the bottom"
Answer:
its d
Step-by-step explanation:
y = 20x
The graph passes through the origin , hence is of form
y = mx ( m is the slope )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (2, 40) and (x₂, y₂) = (4, 80) ← 2 points on the graph
m = 
= 
= 20
y = 20x
Answer:
11. s = 14
12. k = 24
Step-by-step explanation:
There are two "special" right triangles that show up in trig and geometry problems.
The isosceles right triangle has angles of 45°-45°-90°, and side length ratios 1 : 1 : √2.
The half-equilateral triangle has angles of 30°-60°-90°, and side length ratios 1 : √3 : 2.
You will do yourself a favor if you remember and learn to recognize these triangles.
__
<h3>11.)</h3>
The hypotenuse of the isosceles right triangle is 14√2. This tells you the basic ratio has been multiplied by 14. The side length is ...
s = 14
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<h3>12.)</h3>
The half-equilateral triangle has middle-length side 12√3. This means the basic ratio has been multiplied by 12. The triangle short side is 12, and the long side is twice that:
k = 24
