AnswersAZ-Common Core Algebra II BChanges in Period and Phase Shift of Sine and Cosine Functions

Triangle Classification Theorems Answers

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2
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best

2
2 < s < 18
6
6 < s < 12.8
s
s 18
s
s 12.8
6

best

x
x 18.9
1
12.5 < x < 18.9
x
x 26
6
6 < x < 26
9

whole-number

1
16 inches
1
17 inches
2
24 inches
2
25 inches
10

Arielle is building the wooden framework for the roof of a house. She needs the angle created by the vertical and horizontal boards of the frame to be a right angle. The height of the vertical board is 12 feet. The length of the horizontal board is 15 feet. The support beam that will connect the ends of the two boards measures 20 feet.

I
It is an acute triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.
I
It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.
I
It is an acute triangle. About 7 feet need to be removed from the 20-foot board to create a right triangle.
I
It is an obtuse triangle. About 7 feet need to be removed from the 20-foot board to create a right triangle.
11

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

A
The triangle is acute because 22 + 52 > 42.
B
The triangle is acute because 2 + 4 > 5.
C
The triangle is not acute because 22 + 42 < 52.
D
The triangle is not acute because 22 < 42 + 52.
12

Which set of numbers can represent the side lengths, in inches, of an acute triangle?

A
4, 5, 7
B
5, 7, 8
C
6, 7, 10
D
7, 9, 12
13

A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest side.Rounded to the nearest tenth, what is the difference between the possible values of x?

A
3.0 units
B
3.4 units
C
6.4 units
D
8.0 units
14

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.What is the greatest possible whole-number length of the unknown side?

A
2 inches
B
3 inches
C
7 inches
D
9 inches
15

The longest side of an obtuse triangle measures 20 cm. The two shorter sides measure x cm and 3x cm.Rounded to the nearest tenth, what is the greatest possible value of x?

A
6.3
B
6.4
C
7.0
D
7.1

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