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marysya [2.9K]
3 years ago
15

What is the length of AC?

Mathematics
1 answer:
Korvikt [17]3 years ago
8 0
AB+BC you will get the length of AC
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Trevor has $9100 in an investment account. He withdrew all of his money from the account. He spent $1100 on a plane ticket to Pa
Ilya [14]

Answer:

$6,400

Step-by-step explanation:

9100-1100

8000

8000×1/5

$1600

8000-1600

$6,400

3 0
2 years ago
A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c
Lelechka [254]
Make two equations representing the position of each animal, p and k, for the puppy and kitten respectively.

p=25t and k=180+20t  

The puppy will catch the kitten when p=k so we can say:

25t=180+20t  subtract 20t from both sides

5t=180  divide both sides by 5

t=36

So the puppy will catch the kitten after 36 seconds.
7 0
3 years ago
Read 2 more answers
Which situation could be represented by the graph?
Ymorist [56]

The correct option which resembles with the given graph is \fbox{\begin\\\ optionA and optionC\\\end{minispace}}.

Further explanation:

From the given graph the it is observed that the interval is [8,11) which is a half open interval or it can be said that it is a half closed interval.

A half closed or a half open interval is an interval in which one end point of the interval is included but the other point is not included.

For example:

In an interval of the form [a,b) the point a is included in the set but the point b is not included in the set.

Similarly, in the interval [8,11) the point 8 is included in the set but the point 11 is not included in the set.

In order to determine the correct option which resembles with given graph form interval for each option.

Option A:

As per the statement in option A the age of the student must be at least 8 years and not more than 11 years that is the age of the student is either 8 years or greater than 8 years and less than 11 years.

As per the above statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}} in which 8 is included in the set and 11 is not included which means it is a half closed or half opoen interval.

Therefore, \fbox{\begin\\\ optionA\\\end{minispace}} is a correct option.

Option B:

As per the statement in option B the amount of money the babysitter can earn is between \$8 and \$11 per hour.

As per the above statement the interval formed is \fbox{\begin\\\ (8,11)\\\end{minispace}} in which both of the end points are not included in the set which means that it is an open interval.

Therefore, \fbox{\begin\\\ optionB\\\end{minispace}} is an incorrect option.

Option C:

As per the statement in option C the time required to complete a program in college cannot be less than 8 hours and the time must be less than 11 hours.

From the above statement it is concluded that the time required can be 8 hours or more than 8 hours but it has to be less than 11 hours.

So, as per the above the statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}}.

Therefore, \fbox{\begin\\\ optionC\\\end{minispace}} is a correct option.

Option D:

As per the statement in option D the age of the dogs is either 8 years old or below 8 years and age of the dog must be greater than  11 tears.

As per the above statement the interval formed is \fbox{\begin\\\ (-\infty,8) \bigcup(11,\infty)\\\end{minispace}}.

Therefore, the \fbox{\begin\\\ optionD\\\end{minispace}} is an incorrect option.

So, \fbox{\begin\\\ optionA and optionC\\\end{minispace}} are the correct options which resembles with the given graph.

Learn more:

  1. A problem on composite function brainly.com/question/2723982
  2. A problem to find radius and center of circle brainly.com/question/9510228
  3. A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sets

Keywords: Interval, set, open interval, closed interval, half open interval, half closed interval, set theory, program, community college, babysitters, veterinary clinic, ages, students.

5 0
2 years ago
Read 2 more answers
jonah wants to buy two copies of a book. which algebraic expression could jonah use to find the value of the items
Bezzdna [24]
2x because its 2 times the price of the book (x)
5 0
3 years ago
In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1) ? Enter your answer
stiks02 [169]
The distance between two points knowing theirs coordinates:

AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(5,-4) & B(-3,-1) Given
                                                A(x₁,y₁) & B(x₂,y₂)

AB =√[(-3-5))²+(-1-(-4)²] =√(73) = 8.381 ≈ 5.44 units
3 0
2 years ago
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