Answer:
12 km
Step-by-step explanation:
Let
x km/h = speed of the canoe on the lake
y km/h = speed of the current
<u>With the current:</u>
Speed = x + y km/h
Distance = 30 km
Time = 3 hours 20 minutes = 
hours
Thus,
<u>Against the current:</u>
Speed = x - y km/h
Distance = 28 km
Time = 4 hours
Thus,
Add these two equations:
<u>On the lake:</u>
Time = 1.5 hours
Speed = 8 km/h
Distance 
Here's the link to the answer! Couldn't attach it here!
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
brainly.com/question/7098341
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The surface area of a sphere is 4r^2pi, so dividing 100 by 4pi gives a result of 25/pi. Taking the square root and rationalizing the denominator, we have 5sqrt(pi)/pi as the radius of the sphere.
Answer:
i think your correct my bro
Step-by-step explanation:
