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scoray [572]
3 years ago
7

Juanita has 3 rectangular cards that are 8 inches by 9 inches. How can she arrange the cards, without overlapping, to make one l

arger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the 3 cards?

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Given  

  • 3 rectangular cards
  • each card is 8 inches by 9 inches

The way that she can arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter is that:

Put 3 cards together according to the length

So  the smallest possible perimeter is:

8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 = 66 inches as you can see in the attached photo.

The area of the polygon is equal to the combined area of the 3 cards without overlapping or extending.

Hope it can find you well.

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cupoosta [38]

Answer:

a - a or (a +(-a))

Step-by-step explanation:

A negative plus a positive is always zero if they have the same variable.

6 0
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Evaluate -3- (-4) - (-2) + 1.
Shtirlitz [24]

Answer:

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8 0
3 years ago
A 2-card hand is drawn from a standard deck of 52 cards. find the probability that the hand contains the given cards. two of the
ivann1987 [24]
This probability is the same as 1-(two different suited cards). Your first card can be any of the 52 cards. Your second card must be any of the 39 different suited remaining 51 cards. So the answer is 1 - (52/52)(39-51). Note: I assumed there was no replacement.
5 0
3 years ago
An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was intere
snow_lady [41]
A) In order to create a sampling plan, you need to follow the following 5 steps:
    1) Define the sample population: who are the customers you want to contact?
       The costumers who bought a new car on a certain year.
    2) Define the size of population: how many customers are you going to contact?
       Of the 30000 customers who bought a car, you want to contact 1000 customers.
    3) Define the contact options: how are you going to contact the customers?
       You have a list of names and addresses, therefore you can send a questionnaire via mail.
    4) Form a sampling frame: what is the time or contact frame to get in touch with your customers? 
       You will send the questionnaires and you will wait two months for the answer.
    5) Define the analysis method: is yours a qualitative or quantitative research?
     In your case, you want a quantitative research and therefore a probabilistic sampling.

B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.

C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
P = 13 / 1000
   = 0.013

Therefore, 
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Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.
         
4 0
3 years ago
The science club at Jersey High School is sponsoring a dance to raise money for their spring project. They will charge $4 per st
Dennis_Churaev [7]

Answer: 195

Step-by-step explanation:

Cost per student = $4

Total number who attended = n

The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is

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Since, they are to pay $140 , for publicity, then the total cost becomes

T = 4n - 140

From the last statement

4n - 140 ≥ 640

4n ≥ 640 + 140

4n ≥780

n ≥ 780/4

n ≥ 195

That means at least 195 students must attend if the science club is to earn at least $ 640

6 0
3 years ago
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