AnswersMathematics IIIMathematical Modeling: Part Four

Mathematical Modeling: Part Four — Test Answers

25 verified answers
1
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What is the measure of angle ABD in trapezoid ABCD ?

A
64 degrees
B
92 degrees
C
24 degrees
D
40 degrees
2
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Which statement about the number of earthquakes the states had for the given time span is true?

A
State A had approximately 1 comma 533 more earthquakes than State B.
B
State A had approximately 3 comma 362 more earthquakes than State B.
C
State B had approximately 3 comma 362 more earthquakes than State A.
D
State B had approximately 1 comma 533 more earthquakes than State A.
3

Recall that in a 30 degrees - 60 degrees - 90 degrees triangle, if the shortest leg measures x units, then the longer leg measures x square root of 3 units and the hypotenuse measures 2 x units.

A
150 square root of 3 minus 75 pi times square feet
B
150 square root of 3 minus 25 pi square feet
C
300 minus 25 pi square feet
D
300 minus 75 pi square feet
4

Which statements are true? Choose three correct answers.

A
City D has the lowest population density of the four cities.
B
The population density of City B is greater than that of City C.
C
City A has the greatest population density of the four cities.
D
The population density for City B can be found using the ratio 48 comma ratio of 592 to 26 .
E
The population density for City D can be found using the ratio ratio of 258 to 196 comma 429 .
5

Which best describes the resulting three-dimensional shape?

A
a cylinder with a base radius of 34 units
B
a cone with a base radius of 17 units
C
a cone with a base radius of 34 units
D
a cylinder with a base radius of 17 units
6

What is the value of m ?

A
m is equal to 3
B
m is equal to 15
C
m is equal to 2
D
m is equal to 16
7

How can you decompose the composite figure to determine its area?

A
as a triangle, a rectangle, and a semicircle
B
as two triangles, a rectangle, and a circle
C
as a triangle, a pentagon, and a semicircle
D
as three triangles and a circle
8

What is the volume of the right rectangular prism?

A
240 cubic centimeters
B
42 cubic centimeters
C
120 cubic centimeters
D
21 cubic centimeters
9

What is the length of line segment MQ ?

A
10 units
B
15 units
C
8 units
D
11 units
12

What is the area of the composite figure?

A
266 square centimeter
B
268 square centimeter
C
264 square centimeter
D
262 square centimeter
15

If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Choose three correct answers.

A
line segment BA is congruent to line segment CD
B
line segment BE is congruent to line segment ED
C
line segment BD perpendicular to line segment AC
D
angle CBA is congruent to angle BCD
E
line segment BC is parallel to line segment AD
16

What is the area of the shaded region?

A
25 pi minus 30 times square centimeter
B
25 pi minus 12 times square centimeter
C
25 pi minus 24 times times square centimeter
D
25 pi minus 48 times square centimeter
17

What is the approximate length of y ? Round to the nearest tenth of an inch.

A
2 point 8 in.
B
1 point 4 in.
C
2 point 0 in.
D
3 point 5 in.
18

Which best describes the resulting three-dimensional shape?

A
a rectangular prism with an edge length of 18 inches
B
a cylinder with a base radius of 18 inches
C
a rectangular prism with an edge length of 9 inches
D
a cylinder with a base radius of 9 inches
19

Which shape could be thought of as being created by stacking congruent polygons?

A
cone
B
rectangular prism
C
square pyramid
D
triangular pyramid

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