Answer:gcd is of 600 is 120 600÷120 and 480 ÷120 reduced fraction 5/4
Step-by-step explanation:
he volume of the solid under a surface
z
=
f
(
x
,
y
)
and above a region D is given by the formula
∫
∫
D
f
(
x
,
y
)
d
A
.
Here
f
(
x
,
y
)
=
6
x
y
. The inequalities that define the region D can be found by making a sketch of the triangle that lies in the
x
y
−
plane. The bounding equations of the triangle are found using the point-slope formula as
x
=
1
,
y
=
1
and
y
=
−
x
3
+
7
3
.
Here is a sketch of the triangle:
Intersecting Region
The inequalities that describe D are given by the sketch as:
1
≤
x
≤
4
and
1
≤
y
≤
−
x
3
+
7
3
.
Therefore, volume is
V
=
∫
4
1
∫
−
x
3
+
7
3
1
6
x
y
d
y
d
x
=
∫
4
1
6
x
[
y
2
2
]
−
x
3
+
7
3
1
d
x
=
3
∫
4
1
x
[
y
2
]
−
x
3
+
7
3
1
d
x
=
3
∫
4
1
x
[
49
9
−
14
x
9
+
x
2
9
−
1
]
d
x
=
3
∫
4
1
40
x
9
−
14
x
2
9
+
x
3
9
d
x
=
3
[
40
x
2
18
−
14
x
3
27
+
x
4
36
]
4
1
=
3
[
(
640
18
−
896
27
+
256
36
)
−
(
40
18
−
14
27
+
1
36
)
]
=
23.25
.
Volume is
23.25
.
Answer:
1. 31%
2. 69%
3. 68%
4. 58%
5. 53%
Step-by-step explanation:
1. Female/Hawaii : 8/26 = 31%
2. Male/Hawaii: 18/26 = 69%
3. Female/Italy: 13/19 = 68%
4. Hawaii: 26/45 = 58%
5 Male: 24/45 = 53%
First find the volume of the cylinder.
The formula is: V=πr²h
Plug the numbers in the figure into the formula.
V=πr²h
V=π×3²×10
V=π×9×10
V=π90
V=282.743
Therefore, the volume of the cylinder is approximately 282.7in³
Find the volume of the rectangluar prism.
V=lwh
V=12×7×4
V=84×4
V=336
Therefore, the volume of the rectangular prism is 336in³
Add the volumes:
282.7+336=618.7
The volume of the composite solid is approximately 618.7in^3
Answer:
$13.06
Step-by-step explanation:
There are five people so 65.30/5 = 13.06