<span>X+2a = 16+aX-6a
8X - 16 = aX-2a
8(X-2) = a(X-2)
</span><span>(X-2)/<span>(X-2)</span> = a/8
1 = a/8
a= 8
</span>
Answer:
It will take 4 hours and 48 minutes with both pipes.
Step-by-step explanation:
Add their rates of filling
1st pipe's rate = ( 1 tank ) / ( 12 hrs )
2nd pipe's rate = ( 1 tank ) / ( 8 hrs )
Let, t = hrs to fill tank using both pipes
(1 / 12) + (1 / 8) = (1 / t)
Multiply both sides by 24t
2t + 3t = 24
5t = 24
t = 4.8
0.8 x 60 = 48
It will take 4 hours and 48 minutes with both pipes
Answer:
3.5 m
Step-by-step explanation:
Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.
Length of ladder = the hypothenuse = 13.5 m
Thus, we would use:
Cos75 = adjacent/hypothenuse
Cos 75 = d/13.5
Multiply both sides by 13.5
13.5*cos(75) = d
13.5*0.2588 = d
3.4938 = d
d ≈ 3.5 m (nearest tenth)
The line is vertical, so the slope is infinite
Step-by-step explanation:
Given two points with coordinates
and
, the slope of the line passing through the two points is given by the equation

In this problem, the coordinates of the two points are:

and

which means:

Substituting all these values into the equation of m, we find the slope of the line:

The slope is infinite: this is because the line is vertical.
Learn more about slope of a line:
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