1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
prisoha [69]
2 years ago
14

The surface of a pool table has a perimeter of 26 feet and an area of 36 square feet. What are the dimensions of the pool table?

Mathematics
1 answer:
deff fn [24]2 years ago
6 0

Answer:

Step-by-step explanation:

pool tables are rectanglar

Perimeter = 2L + 2W      =  2(L+W)   ---->>>    Perimeter/2  = L + W  =

         Perimeter/2 - W  =  L

        Area = L×W     

Two equations and two unknowns and  L is substituted into the area equation  

 ---->>  Area = (Perimeter/2 - W) x W

          Area = (Perimeter x W)/2  - W²              solve for W

Area = 36 and  Perimeter = 26

       36 ft² = (26)( W)/2 ft  - W² ft²

       36 ft² = 13W ft - W² ft²

        W² - 13W + 36 = 0            quadratic equation factor solve for W

         (W - 4)(W - 9)  = 0            

There are two roots

        W - 4 = 0   and W - 9 = 0

        W = 4  and  9         W = 9  it doesn't make sense  needs to be < L

Perimeter/2 - W = L

         L = 26/2 - W

            = 13 - 4

         L = 9 ft  and   W = 4 ft

You might be interested in
HELP MY PARENTS ARGUING ABOUT THIS ASSIGNMENT PLEASE DO THIS HURRY!!!
vredina [299]
I believe the answer are as follows: 1. A 2. B 3. A 4. D 5. B and 6. B
5 0
3 years ago
1. a type of bamboo holds a Guinness world record for the fastest growing plant.is can grow 91cm a day. how fast in inches per h
nikdorinn [45]

1-

Given length is 91 cm

1 cm = 0.3937 inch

so, 91 cm = 91* 0.3937 = 35.826 inches

1 day = 24 hours

In 24 hours the bamboo grows = 35.826 inches

In one hour it will grow = \frac{35.826}{24}

= 1.492 inches per hour. Hence the bamboo grows 1.492 inches per hour.


2-

We have to convert hours and seconds in minutes.

1 hour = 60 minutes

so 10 hours = 60 * 10 = 600 minutes.

60 seconds = 1 minute

so 24 seconds = \frac{24}{60} = 0.4 minutes.

Now we have been given the total time as 10 hours, 39 minutes and 24 seconds

So adding all values in minutes, we get

600 + 39 + 0.4 = 639.4 minutes

So Saturn takes 639.4 minutes to complete one rotation

3-

Given equation is 0.4(30h)+30h

0.4(30h) represents the amount of tax Kimberly has to pay.





8 0
3 years ago
Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0
3 years ago
Adidea Corp. estimates that $5,670 of its accounts receivables are uncollectible. How will the company record the transaction?
sergiy2304 [10]

Answer:

The transaction will be recorded by the company as :

DR : Non-collectibles $5670  

CR : Accounts receivable $5670

Step-by-step explanation:

Amount of money estimated = $5670

The amount which is non-collectible is recorded as a DEBIT transaction by the company because the amount in the non-collectible account can't be received by the company.

But, the amount in the receivables is the amount which is available for receiving and can be received by the company. So, receivable transaction is marked as CREDIT by the company.

Thus, the transaction will be recorded by the company as :

DR : Non-collectibles $5670  

CR : Accounts receivable $5670

4 0
3 years ago
Please answer this I need it aswerd
dsp73
It might either be a right triangle or a cute triangle
6 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP MEEEEEEEEEE
    11·1 answer
  • A triangle has side lengths of 28 in. 4 in, and 31 in. Classify it as acute, obtuse, or right.
    5·1 answer
  • Simplify.<br> 1.8y + 9.3y + 6.3y
    13·2 answers
  • Which one is higher 45 fahrenheit or 30 celsius?
    8·1 answer
  • The students in Mrs. Thompson's class have to do a book report. They were given the choice to read a historical fiction, non-fic
    11·2 answers
  • Gary took 7 hours
    10·1 answer
  • Which scenario involves acceleration
    5·1 answer
  • If you help me god bless you and your a legend
    8·1 answer
  • An expression to convert 50 miles per minute is?
    7·1 answer
  • Which expression is equivalent to x + x -0.24x?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!