Answer:
V = 180 ft^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h where r is the radius and h is the height
The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6
The height is 5 and we are using 3 for pi
V = 1/3 (3) *6^2 *5
V = 180 ft^3
Answer:
To graph a quadratic equation we first need to factorise it into a different form.
First we check what the discriminant is equal to
Where
f
(
x
)
=
a
x
2
+
b
x
2
+
c
Δ
(Discriminant)
=
b
2
−
4
a
c
In this case
Δ
=
3
2
−
4
⋅
2
⋅
7
Δ
=
−
47
Because it is less than zero it can't be factored normally
Therefore we must use the The Quadratic Formula or Completing the Square
Here I have completed the square
f
(
x
)
=
2
x
2
−
3
x
+
7
Remove factor from
x
2
term
f
(
x
)
=
2
⋅
(
x
2
−
3
2
x
+
7
2
)
Take
x
term, half it and then square it
f
(
x
)
=
−
3
2
→
−
3
4
→
9
16
Add and then subtract this number inside the equation
f
(
x
)
=
2
⋅
(
x
2
−
3
2
x
+
9
16
−
9
16
+
7
2
)
Combine the first three terms in a perfect square
f
(
x
)
=
2
⋅
(
(
x
−
3
4
)
2
−
9
16
+
7
2
)
Equate left over terms
f
(
x
)
=
2
⋅
(
(
x
−
3
4
)
2
+
47
16
)
Multiply coefficient back in
f
(
x
)
=
2
(
x
−
3
4
)
2
+
47
8
This gives a turning point of
(
3
4
,
47
8
)
=
(
0.75
,
5.875
)
and a
y
intercept of
2
⋅
(
3
4
)
2
+
47
8
=
(
0
,
7
)
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The mean of week 2 > the mean for week 1.
Range for week 1 = range for week 2.
<h3>What is the Range and Median of a Data?</h3>
The range = greatest value - least value
Median = center of the data.
The center of the data for week 1 = 79, the mean for week 2 is therefore 79.
The center of for week 1 is 73.5. Mean for week 1 is 73.5.
This means mean for week 2 is greater than mean for week 1.
Range for week 1 = 89 - 62 = 27
Range for week 2 = 89 - 62 = 27
This means both weeks have the same range.
Learn more about range and mean of a data on:
brainly.com/question/1930832
#SPJ1
Answer:
Step-by-step explanation:
The width = x
The length of the garden is three times the width => the length = 3x
The diagonal distance is five yards longer than the width=> the width=x+5
pythagorean theorem:
My English is not too good but I hope you will understand.
9514 1404 393
Answer:
1/sec(x) · 1/tan(x)
Step-by-step explanation:
The breakup can be accomplished any of several ways.