Answer:
Step-by-step explanation:
The volume of a cylinder can be calculated with the following formula:
Where "r" is the radius and "h" is the height.
The volume of a sphere can be found with this formula:
Where "r" is the radius.
Then, volume of the empty cylinder is:
And the volume of the ball is:
Finally, you need to subtract them in order to calculate how much water is in the cylinder:
Check out the attached image below. I've marked two red points on the line such that the points have whole number coordinates. This way I could compute the slope of this line to be -2/5
We move down 2 units (rise of -2) as shown by the blue arrows. Afterward, we move 5 units to the right as shown by the green arrows (which is the run). This gets us from the left red point to the right red point.
rise = -2, run = 5
slope = rise/run = -2/5
the original line shown has a slope of -2/5
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Next we do two things to get the perpendicular slope.
Flip the fraction: -2/5 becomes -5/2
Flip the sign: -5/2 becomes +5/2 or simply 5/2
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Final Answer: 5/2
Answer:
remainder = 122
Step-by-step explanation:
Using the remainder theorem to evaluate the remainder
Division by x - 3 , thus evaluate f(3) for remainder
f(3) = 3³ + 14(3)² - 7(3) - 10
= 27 + 126 - 21 - 10
= 122 ← remainder
Answer:
12
Step-by-step explanation:
Step-by-step explanation:
ten minus one divided by three
ten plus five minus three
seven plus three times five