Answer:
the volume of cylinder = πr²h
h = 5cm
r = 6cm
volume = π × 6² × 5
= π × 6 × 6 × 5
= 180πcm³
Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
Answer:
It would take alot of time for be to fill everything out so the simple solution is, complementary angles add up to 90 degrees and supplementary add up to 180 degrees. Simply for complementary do 90 - m<1 = m<2, and for supplementary 180 - m<3 = m<4.
Answer: negative 6
Step-by-step explanation:
Since at the top of the mountain its already 0 and the degrees drop 3 each hour then multiply -3 by 2 hours and there you go.
Answer:
x=2
Step-by-step explanation:
this is just like the last one. since it is vertical it only includes the x value 2
