Answer:
Step-by-step explanation:
Let r be the radius ( in feet ) of the cone,
So, the diameter of the cone = 2 × radius = 2r feet,
∵ The diameter of the base of the cone is three times the height,
If h represents the height of the cone,
⇒ 2r = 3 × h,
⇒ 
feet,
∵ Volume of a cone,
Where,
R = radius, H = height,
Thus, the volume of the given cone is,
Differentiating with respect to t ( time )
We have,
Answer:
1/12
Step-by-step explanation:
The question can be written as (1/4) / 3. This is equivalent to (1/4)*(1/3), which is 1/12.
Answer:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
Answer:
x=47°
Step-by-step explanation:
..,........................
Step-by-step explanation:
Find the Center and Radius (x-4)^2+y^2=4
(
x
−
4
)
2
+
y
2
=
4
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
2
h
=
4
k
=
0
The center of the circle is found at
(
h
,
k
)
.
Center:
(
4
