9514 1404 393
Answer:
10,450 cm³
Step-by-step explanation:
The volume is the product of the area of the facing face and the depth of the figure. The area of the facing face is the sum of the areas of a rectangle and a triangle. The relevant area formulas are ...
A = bh . . . . . area of rectangle with base b and height h
A = 1/2bh . . . area of triangle with base b and height h
Here the rectangle and triangle have the same base, 19 cm. Then the sum of the areas is ...
Atot = (19 cm)(18 cm) + 1/2(19 cm)(14 cm)
Atot = (19 cm)(18 cm +1/2×14 cm) = (19 cm)(25 cm) = 475 cm².
Then the volume of the figure is ...
V = Bh = (475 cm²)(22 cm) = 10,450 cm³
_____
<em>Additional comment</em>
Effectively, this is the volume of a cuboid whose height is that of the bottom rectangular prism (18 cm) plus half the height of the triangular prism on top (1/2×14 cm = 7 cm). (18+7=25) The volume is essentially 19 cm × 25 cm × 22 cm. This recognition can serve to simplify the work or to act as a check on the work done some other way.
Answer:
y=2x
Step-by-step explanation:
For every day, mark jars 2 liters. using this information we can conclude that for every x we have two, 2x. the jam made is represented by y so the equation ends up as y=2x (for every jam made, use twice times the amount of days taken.
Answer:
50 : 6 = x : 40 is the proportion
Step-by-step explanation:
50 : 6 = x : 40
x = 50 * 40 : 6
x = 333.33
--------------------------
check
50 : 6 = 333.33 : 40
8.33 = 8.33
The answer is good
Answer:
ANSWER IS BELOW
Step-by-step explanation:
Find the properties of the given parabola.
Tap for more steps...
Direction: Opens Up
Vertex:
(
0
,
0
)
(0,0)
Focus:
(
0
,
3
4
)
(0,34)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
−
3
4
y=-34
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
xy-243-1130011333
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
0
)
(0,0)
Focus:
(
0
,
3
4
)
(0,34)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
−
3
4
y=-34
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
xy-243-1130011333
