Answer:
The radius of a sphere would be 12 cm.
Step-by-step explanation:
The formula for the volume of the sphere =
By putting the value of volume we can find the radius of the sphere.
Volume of the sphere = 2304 π cm³
576 × 3 = r³
![r=\sqrt[3]{1728}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B1728%7D)
r = 12
The radius of a sphere would be 12 cm.
Answer:
Step-by-step explanation:
<em>Refer to picture.</em>
Let the distance to men are x and y and the distance between them is d.
The angle of depreciation is 27° and 30°, hence top angle of the triangle is 63° or 60°.
<u>Find the distance from the tower to men:</u>
- x = 20 tan 63° = 39.25 m
- y = 20 tan 60° = 34.64 m
<u>The distance between men is:</u>
- d =
<em>Note, all numbers are rounded</em>
ANSWER: its going to be 225 because all you have to do is find what to multiply by to get 675 and its 225 x 5= 675
Step-by-step explanation:
George C.
Jul 24, 2018
(
x
+
2
)
(
x
+
6
)
2
=
0
Explanation:
Given:
x
3
+
14
x
2
+
60
x
+
72
=
0
By the rational roots theorem, any rational zeros of the given cubic are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
72
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
3
,
±
4
,
±
6
,
±
8
,
±
9
,
±
12
,
±
18
,
±
24
,
±
36
,
±
72
In addition, note that all of the coefficients are positive and the constant term is non-zero. As a result, any real zero (rational or otherwise) of this cubic must be negative.
So that leaves rational possibilities:
−
1
,
−
2
,
−
3
,
−
4
,
−
6
,
−
8
,
−
9
,
−
12
,
−
18
,
−
24
,
−
36
,
−
72
We find:
(
−
2
)
3
+
14
(
−
2
)
2
+
60
(
−
2
)
+
72
=
−
8
+
56
−
120
+
72
=
0
So
x
=
−
2
is a zero and
(
x
+
2
)
a factor:
x
3
+
14
x
2
+
60
+
72
=
(
x
+
2
)
(
x
2
+
12
x
+
36
)
Without trying any more of our "possible" zeros, we can recognise the remaining quadratic factor as a perfect square trinomial:
x
2
+
12
x
+
36
=
x
2
+
2
(
x
)
(
6
)
+
6
2
=
(
x
+
6
)
2
So the factored form of the given cubic equation can be written:
(
x
+
2
)
(
x
+
6
)
2
=
0
