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Talja [164]
3 years ago
11

Use the table for 19-23. write each ratio in the form a/b and then as a decimal. Tell whether each decimal is a terminating or r

epeating decimal.
Team sports table

baseball 9
Basketball 5
Football 11
Hockey 6
Lacrosse 10
Polo 4
Rugby 15
soccer 11

Questions:

1. Basketball to football
2. Hockey to lacrosse players
3. polo to football players
4. lacrosse to rugby players
5. football players to soccer players



PLEASE HELP ME!!!!!!!!!
Mathematics
2 answers:
mash [69]3 years ago
8 0

Step-by-step explanation:

Consider the provided table.

We need to write the ratio in the form of a/b.

1. Basketball to football

According to the table;

Number of players in basketball is 5.

Number of players in Football is 11.

The ratio of Basketball to football is:

\frac{5}{11} =0.4545...

Thus, the decimal is repeating.

2. Hockey to lacrosse players

According to the table;

Number of players in Hockey is 6.

Number of players in Lacrosse is 10.

The ratio of Hockey to lacrosse players is:

\frac{6}{10} =0.6

Thus, the decimal is terminating.

3. Polo to football players

According to the table;

Number of players in polo is 4.

Number of players in Football is 11.

The ratio of Polo to football players is:

\frac{4}{11} =0.3636...

Thus, the decimal is repeating.

4. lacrosse to rugby players

According to the table;

Number of players in Lacrosse is 10.

Number of players in rugby is 15.

The ratio of lacrosse to rugby players is:

\frac{10}{15} =0.666....

Thus, the decimal is repeating.

5. football players to soccer players

According to the table;

Number of players in Football is 11.

Number of players in soccer is 11.

The ratio of football players to soccer players is:

\frac{11}{11} =1

Thus, the decimal is terminating.

stellarik [79]3 years ago
4 0
All you are basically doing is making ratios.
Basketball to football would be 5 to 11 or 5:11 or 5/11.
What you do is in the order you said it (basketball to football) you find that info and make it a ratio. A ratio must be simplified and can be written 3 ways, as shown above.

Hockey to lacrosse would be 6 to 10 and simplified would be 3 to 5.

Try doing 3 and 4 and 5 on your own to help you understand it more:) if you have any questions tell me.
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#1. A 30 inch wire is bent into a scalene triangle. Its median side is 2 inches longer than
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Answer: the length of the longest side is 13 inches

the length of the of the median is 12 inches

the length of the of the smallest side is 5 inches

Step-by-step explanation:

Let x represent the length of the of the longest side of the scalene triangle.

Let y represent the length of the of the median side of the scalene triangle.

Let z represent the length of the of the smallest side of the scalene triangle.

The formula for the perimeter of a triangle is the sum of the length of each side. If the 30 inch wire is bent into a scalene triangle, the perimeter would be 30 inches. it means that

x + y + z = 30 - - - - - - - - - - 1

Its median side is 2 inches longer than twice its shortest side. This means that

y = 2z + 2

2z = y - 2

z = y/2 - 1

Its longest side is one inch longer than its median side. This means that

x = y + 1

Substituting x = y + 1 and z = y/2 - 1 into equation 1, it becomes

y + 1 + y + y/2 - 1 = 30

Multiplying through by 2, it becomes

2y + 2 + 2y + y - 2 = 60

5y = 60

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Substituting y = 12 into x = y + 1,

x = 12 + 1 = 13

Substituting y = 12 into z = y/2 - 1, it becomes

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Romashka [77]

Answer:

The amplitude=|A|=\frac{1}{2}, period=3 and \text{phase shift}=\frac{2\pi}{3}.

Step-by-step explanation:

The given function is

f(t)=-\frac{1}{2}\sin (3t-2\pi)      .... (1)

The general form of sine function is

F(t)=A\sin (Bt-C)+D                 ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

A=-\frac{1}{2}

B=3

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So,

amplitude=|A|=\frac{1}{2}

period=3

\text{phase shift}=\frac{2\pi}{3}

Therefore amplitude=|A|=\frac{1}{2}, period=3 and \text{phase shift}=\frac{2\pi}{3}.

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