Answer:
It is given that the volume of a cone = 
cubic units
Volume of cone with radius 'r' and height 'h' = 
Equating the given volumes, we get
× 
It is given that the height is 'x' units.
Therefore, 
Therefore, 
So, the expression '
' represents the radius of the cone's base in units.
Daniel would be 6 daniel was 1 year 2 years ago 1x4=4 plus put on the 2 years =6
Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Answer:
a
x
2
+
b
x
+
c
=
0
the formula for the roots is
x
=
−
b
±
√
b
2
−
4
a
c
2
a
(
1
)
Identify the values for
a
,
b
,
&
c
x
2
+
4
x
+
3
=
0
cmp
a
x
2
+
b
x
+
c
=
0
a
=
1
b
=
4
c
=
3
(
2
)
Substitute these numbers into eh formula
x
=
−
4
±
√
4
2
−
(
4
×
1
×
3
)
2
×
1
(
3
)
Carefully proceed and do the calculations
x
=
−
4
±
√
16
−
12
2
x
=
−
4
±
√
4
2
x
=
−
4
±
2
2
now calculate the two separate solutions
x
1
=
−
4
+
2
2
=
−
2
2
=
−
1
x
2
=
−
4
−
2
2
=
−
6
2
=
−
3
Answer link
Step-by-step explanation:
