AnswersGCS 2023-2024 Math 3 Credit RecoveryDensity and Design Problems

Density and Design Problems — Unit test Answers

13 verified answers
1
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The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Question illustration
A
a cone with base radius of 17 in.
B
a cone with base radius of 34 in.
C
a triangular pyramid with side length of 17 in.
D
a triangular pyramid with side length of 34 in.
2
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Which graph represents the equation x2 = 8y?

A
On a coordinate plane, a parabola opens up. It has a vertex at (0, 0), a focus at (0, 8), and a directrix at y = negative 8.
Option A
B
On a coordinate plane, a parabola opens up. It has a vertex at (0, 0), a focus at (0, 2), and a directrix at y = negative 2.
Option B
C
On a coordinate plane, a parabola opens to the right. It has a vertex at (0, 0), a focus at (2, 0), and a directrix at x = negative 2.
Option C
D
On a coordinate plane, a parabola opens to the right. It has a vertex at (0, 0), a focus at (8, 0), and a directrix at x = negative 8.
Option D
3

The owner of a minigolf course is replacing the artificial grass on a portion of the course. The area to be replaced is shown in the diagram.

Question illustration
A
8π + 180
B
16π + 180
C
8π + 228
D
16π + 228
4

How many edges does a rectangular prism have?

A
6
B
8
C
10
D
12
5

A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).

A
y = 2
B
x = 2
C
y = –2
D
x = –2
6

A county in North Carolina spans 532 square miles. The population density of deer in the county is 11 deer per square mile.How many deer live in the county? Round to the nearest whole number, if necessary.

A
48 deer
B
68 deer
C
5,852 deer
D
5,992 deer
7

A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base.The cross section can be which of these shapes? Select three options.squaretriangletrapezoidcirclenon-square rectangle

A
square
B
triangle
C
trapezoid
D
circle
E
non-square rectangle
8

Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a rectangle with dimensions of 55 feet and 45 feet.Which statement is true regarding the areas of the two flower beds?

A
Henry’s design would result in a larger flower bed because its area would be 2,500 square feet.
B
Liani’s design would result in a larger flower bed because its area would be 2,500 square feet.
C
Henry’s and Liani’s designs would result in flower beds with the same area.
D
Henry’s and Liani’s designs are not possible with the given amount of wood.
9

A composite figure is comprise of a semicircle, a hexagon, and a rectangle.

Question illustration
A
as a circle, two trapezoids, and a rectangle
B
as a semicircle, a pentagon, and two triangles
C
as a semicircle, a hexagon, and a rectangle
D
as a circle, six triangles, and a rectangle
10

A parabola and its directrix are shown on the graph.

Question illustration
A
(0,2)
B
(0,–2)
C
(2,0)
D
(–2,0)
11

On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 2, 0), and a directrix at x = 2.

Question illustration
A
y2 = –2x
B
y2 = –8x
C
x2 = –2y
D
x2 = –8y
12

A polygon with 3 sides is stacked to form a prism.

Question illustration
A
square
B
trapezoid
C
triangle
D
non-square rectangle
13

The table shows information about Town A in Illinois and Town B in Florida.

Question illustration
A
Town B has the same population as Town A.
B
Town B has a greater population than Town A.
C
Town B has a population of approximately 5,138.
D
Town B has a population of approximately 37,530.

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