The height of the right cone given its volume and its diameter is 47 units.
<h3>What is the height?</h3>
A cone is a three-dimensional object that has a circular base and a vertex.
Height of the cone = Volume of a cone ÷ 1/3(πr²)
Where:
- π = 22/7
- r = radius = diameter / 2 = 30 / 2 = 15 units
- h = height
3525π÷ (1/3 x π x 15²) = 47 units
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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The range of the averages in a class with a maximum point of 100 point and a minimum point of 20 point is 80 points
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Range is the difference between the maximum value and minimum value of a data set. Hence:
Range = Maximum - Minimum
Let us assume that the maximum point is 100 point and the minimum point is 20 point, hence:
Range = 100 - 20 = 80 points
The range of the averages in a class with a maximum point of 100 point and a minimum point of 20 point is 80 points
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Given that the 35% of area has been developed, the percentage of land that has not been developed is:
100-35
=65%
hence the acres of land that are to be developed will be:
35/65*500
=269.23 acres
the answer is 269.23
Answer:
25% increase
Step-by-step explanation:
Answer:
(x+4)^2=-8(y+3)
Step-by-step explanation:
Given:
focus of parabola=(-4,-5)
directrix= -1
Standard form of parabola :
(x - h)^2 = 4p (y - k),
where focus is:
(h, k + p)
directrix is :
y = k - p
Now equating the values we get
(-4,-5) = (h,k+p)
h=-4
k+p=-5
k=-5-p
Also
y=-1 and y=k-p
i.e. k-p=-1
Substituting k=-5-p in above we get:
-5-p-p=-1
-2p=-1+5
p=4/-2
p=-2
Putting p=-2 in k-p=-1 we get:
k=-1-2
k=-3
Putting all the values in standard formula for parabola we get:
(x - (-4))^2 = 4(-2) (y -(-3))
(x+4)^2=-8(y+3)!
