Answer:
4:1
Step-by-step explanation:
The volume of the prism, in cubic units is V = 1/2*x³ + x²
The figure and options are in the figure attached
<h3>What is an Oblique Prism ?</h3>
An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .
It is given that
The oblique prism below has an isosceles right triangle base.
In the figure attached, the oblique prism is shown.
The volume of the prism is given by
V = b*h
h is the height and b is the Area of the base
It is given that the base is an isosceles right triangle, its area is:
Area of a Triangle = (1/2) base * height
here the base and height is x
b = 1/2*x²
The height of the prism is (x + 2).
Then, the volume is:
V = 1/2*x²*(x + 2)
V = 1/2*x³ + x² cu. units
To know more about Oblique Prism
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Answer:3
x
−
2
y
=
7
Explanation:
Write the standard form of the line that goes through
(
3
,
1
)
and is perpendicular to
y
=
−
2
3
x
+
4
.
The equation
y
=
−
2
3
x
+
4
is in slope intercept form
y
=
m
x
+
b
where
m
= slope and
b
= the
y
intercept.
The slope of this line is then
m
=
−
2
3
A perpendicular slope is the opposite sign reciprocal. So, we change the sign of
−
2
3
and switch the numerator and denominator.
Perpendicular slope
m
=
3
2
To find the equation of the new line, use the point slope equation
y
−
y
1
=
m
(
x
−
x
1
)
where
m
=
slope and
(
x
1
,
y
1
)
is a point.
The slope is
3
2
and the point is the given point
(
3
,
1
)
.
y
−
1
=
3
2
(
x
−
3
)
a
a
a
Distribute
y
−
1
=
3
2
x
−
9
2
Standard form is
a
x
+
b
y
=
c
where
a
,
b
and
c
are integers and
a
is positive.
a
a
2
(
y
−
1
=
3
2
x
−
9
2
)
a
a
a
Multiply the equation by
2
a
a
a
a
a
2
y
−
2
=
3
x
−
9
−
3
x
a
a
a
a
a
a
a
−
3
x
a
a
a
Subtract
3
x
from both sides
−
3
x
+
2
y
−
2
=
−
9
a
a
a
a
a
a
a
a
+
2
a
a
a
+
2
a
a
a Add 2 to both sides −
3
x
+
2
y
=
−
7
−
1
(
−
3
x
+
2
y
=
−
7
)
a
a
a
Multiply the equation by −
1
3
x
−
2
y
=
7
Answer:
Step-by-step explanation:
Given:
27 + 2/3 ÷ 3 + 9/10
In division, compatible numbers are numbers that can be divided mentally.
27 + 2/3 ÷ 3 + 9/10
27 + 0.67 ÷ 3 + 0.9
27.67 ÷ 3.9
= 7.0948717948717
Approximately
= 7
But, alternatively
27.67 ÷ 3.9
27.67 is closer to 28
3.9 is closer to 4
Therefore,
28 ÷ 4
= 7
The quotient of 27 + 2/3 ÷ 3 + 9/10 using compatible numbers is around 7
