Let the time taken for the first pipe to fill the pool be x hours
time taken for second pipe to fill the pool is (x+7) hours
time taken for both pipes to fill the pull =(x-9) hours
thus fraction of time taken for both will be written as:
1/(x-9)
thus total fraction for pipe 1 and 2 will be
1/x+1/(x+7)=1/(x-9)
solving for x we get:
x=-3 or x=21
but time is positive, then time taken by first pipe is 21 hours
time taken by both pipes will be 21-9=12 hours
If any line drawn from center of the circle (OC in the diagram) bisect the chord of circle (AB in the diagram), then it is said to be perpendicular to chord AB.
So OC is perpendicular to CB, and we can say that triangle OCB is the Right Triangle.
In the Right Triangle OCB,
angle BCO = 90°
angle COB = 90° - angle CBO = 90° - 40° = 50°
So, option A is the final answer, 90° and 50°.
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Keep in mind that the first number in a coordinate is always on the x-axis (the horizontal line) and the second number is on the y-axis (the vertical line).
If the question asks us to plot (-3, 0), we need to find -3 on the horizontal line and find 0 on the vertical line.
Since 0 means that we go 0 units up, we can just plot the point at -3 on the x-axis.
Next, we need to plot (3, 5). First, let's find the first coordinate by locating 3 on the horizontal axis. Now, we need to find 5 up from that point, because our y-coordinate is 5.
2^3, 3^3,4^3, 5^3, 6^3. The next term in the sequence would be 7^3 which is 343