AnswersAISD 26-27 Geometry CR BSolving for Angle Measures of Right Triangles

Solving for Angle Measures of Right Triangles — Cumulative exam Answers

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The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

A
2.45
B
3.16
C
5.48
D
7.07
83

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Question illustration
A
h(t) = 5t + 500
B
h(t) = 5t – 500
C
h(t) = –5t + 500
D
h(t) = –5t – 500
84

The 10th-grade class officers ordered t-shirts and sweatshirts to sell as a fundraiser. Each t-shirt weighed of a pound, and each sweatshirt weighed of a pound. The total weight of the contents of the box was pounds. Which equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered?

Question illustration
A
StartFraction one-half EndFraction t plus StartFraction 3 Over 4 EndFraction s equals 43 and StartFraction 3 Over 4 EndFraction
Option A
B
StartFraction 3 Over 4 EndFraction s equals negative StartFraction one-half EndFraction s plus 43 and StartFraction 3 Over 4 EndFraction.
Option B
C
2t + 3s = 175
D
3s = –2t + 175
86

There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?

A
1,001
B
6,006
C
24,024
D
38,416
87

A school district wanted to compare ACT scores between two of its schools (school A and school B). The dotplots below summarize the ACT scores for simple random samples of 30 students from each school.

Question illustration
A
The mean score for the sample from school A is equal to the mean score for the sample from school B.
B
The mean score for the sample from school A is less than the mean score for the sample from school B.
C
The mean score for the sample from school A is greater than the mean score for the sample from school B.
D
We cannot determine the relationship between the mean ACT scores without knowing the actual scores on the exam.
88

An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes both those who own and those who rent their homes. Level of Satisfaction HighMediumLowTotalOwners26341878Renters1512522Total414623110What proportion of those surveyed have low satisfaction with city services?

A
0.2091
B
0.2308
C
0.2644
D
0.3727
89

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
90

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Question illustration
A
a dilation with a scale factor less than 1 and then a reflection
B
a dilation with a scale factor less than 1 and then a translation
C
a dilation with a scale factor greater than 1 and then a reflection
D
a dilation with a scale factor greater than 1 and then a translation
91

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?

Question illustration
A
9 feet
B
18 feet
C
30 feet
D
33 feet
92

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

Question illustration
A
35
B
42
C
63
D
105
94

Jana is prescribed 250 mg of medication. Seventy-five percent of the medication remains in her body after each hour, h, according to the equation . Six hours later, Allison is prescribed the same medication. The medication remains in Allison’s body according to the equation . At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?

Question illustration
A
5.62
B
14.05
C
17.80
D
44.49
95

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.18.
B
A and B are independent events because P(A∣B) = P(A) = 0.4.
C
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
D
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
96

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

Question illustration
A
slope: 2, y-intercept: –20
B
slope: 2, y-intercept: 10
C
slope: 5, y-intercept: –20
D
slope: 5, y-intercept: 10
97

Which graph represents the function y = 2x – 4?

A
Option
B
Option
C
Option
D
Option
98

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.18.
B
A and B are independent events because P(A∣B) = P(A) = 0.4.
C
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
D
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
99

People of different ages were asked the question "Do you listen to audiobooks?” The frequency table displays the percentage of "yes” responses for different age groups.Would it be appropriate to display the data with a pie chart?

Question illustration
A
Yes, because the data are grouped into categories.
B
Yes, because the data can be displayed by a relative frequency compared with the whole.
C
No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.
D
No, because the data categories are too broad.

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