Three-Dimensional Figures and Cross Sections Answers

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4

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Question illustration
A
State A had approximately 1,533 more earthquakes than State B.
B
State B had approximately 1,533 more earthquakes than State A.
C
State A had approximately 3,362 more earthquakes than State B.
D
State B had approximately 3,362 more earthquakes than State A.
5

3 shapes are combined to form a composite figure. A semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle.

Question illustration
A
as three triangles and a circle
B
as two triangles, a rectangle, and a circle
C
as a triangle, a pentagon, and a semicircle
D
as a triangle, a rectangle, and a semicircle
9

A regular pentagon is shown.

Question illustration
A
5.88 cm
B
8.09 cm
C
12.36 cm
D
17.01 cm
16

The regular hexagon has a radius of 4 in.

Question illustration
A
24 in.2
B
42 in.2
C
48 in.2
D
84 in.2
17

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.

Question illustration
A
Each area is equal to half of the area of ABCD.
B
The area of AXYD is less than the area of BXYC.
C
The area of AXYD is greater than the area of BXYC.
D
Each area is equal to the area of ABCD.
18

Which statements are true? Select three options.

A
The population density for City B can be found using the ratio 48,592 : 26.
B
The population density for City D can be found using the ratio 258 : 196,429.
C
City A has the greatest population density of the four cities.
D
The population density of City B is greater than that of City C.
E
City D has the lowest population density of the four cities.
20

On a coordinate plane, triangle A B C and parallelogram G H J K are shown. Triangle A B C has points (2, 0), (1, negative 6), (negative 2, negative 4). Parallelogram G H J K has points (0, 0), (1, 2), (negative 2, 4), and (negative 3, 2).

Question illustration
A
The area of △ABC is 2 square units greater than the area of parallelogram GHJK.
B
The area of △ABC is 1 square unit greater than the area of parallelogram GHJK.
C
The area of △ABC is equal to the area of parallelogram GHJK.
D
The area of △ABC is 1 square unit less than the area of parallelogram GHJK.

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