Answer:
Height = 8 cm
Step-by-step explanation:
Volume of cylinder = π×r²×h
288π = π × 36 × h
(Divide both sides by π)
288 = 36 × h
(Divide 288 by 36)
8 = h
Answer:
If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line. The first thing that we do to the slope is we negate the number which means that if we have a slope of
our slope because
in this step. In our case our slope is
so in this step it becomes
.
Moving onto the second part which is to get the reciprocal of the number which means that if we have
then we would switch it to
. In our case our number is
so we would make that into a fraction like this
.
In conclusion, our final slope of the perpendicular line is
.
<u><em>Hope this helps! Let me know if you have any questions</em></u>
Answer:
Step-by-step explanation:
If APB is measured in radians, then the arc length AB = APB(r) where r is the radius of the circle.
The information given requires you to rework the formula as :
distance÷time=rate
so then plug in values to get
5÷2=rate
and the answer will be 2.5 as your rate
<span>We are given the slope and the y-intercept.
m=-6/7, b=3 1/7
We use the slope-intercept form of the equation of the line to get an equation.
y = mx + b
y = -6/7x + 3 1/7
Now we need standard form.
The x- and y-terms must be on the left side, and we need integer coefficients.
y = -6/7x + 22/7
Multiply both sides by 7.
7y = -6x + 22
Add 5x to both sides.
6x + 7y = 22
</span>