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Rainbow [258]
3 years ago
13

In the floor plan for a house, one bed-

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer: the length of one side of the bedroom is 24 feet.

the length of one side of the closet is 3 feet

Step-by-step explanation:

Let x represent the length of one side of the bedroom.

Let y represent the length of one side of the closet.

The sides of the bedroom were 8

times as large as the sides of the closet. This means that

x = 8y

the sum of the areas of the two was

585 square feet. The area of the room is x^2 and the area of the closet is y^2. Therefore,

x^2 + y^2 = 585 - - - -- - - -1

Substituting x = 8y into equation 1, it becomes

(8y)^2 + y^2 = 585

64y^2 + y^2 = 585

65y^2 = 585

y^2 = 585/65 = 9

Take square root of both sides of the equation,

y = √9 = 3

x = 8y = 8×3 = 24

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Multiply and simplify the following products. V stands for radical.
Reptile [31]

Answer:

(1) 9

(2) \sqrt{6}

(3) 6(\sqrt{6})

Step-by-step explanation:

From the question,

(1) (\sqrt{9})²

    Applyin the law of multiplication of surds

   (\sqrt{9})²  = (

(2)  (\sqrt{2})× (\sqrt{3}) =

   Also applying the the law of multiplication of surd

   (\sqrt{2\\})×(\sqrt{3}) =  (\sqrt{6}) ( This is an irational answer)

   ∴ (\sqrt{2})×(\sqrt{3})  = \sqrt{6}

 (3) 2(\sqrt{2})×3(\sqrt{3})

     Also applying the law of multiplication of surds i.e Multiply surds to     surds and whole number to whole number

     = 2×3×(\sqrt{2})×(\sqrt{3})

       6×(\sqrt{6}) = 6(

5 0
3 years ago
The ages (in years) and weights (in pounds) of all wide receivers for a football team are listed. Find the coefficient of variat
IceJOKER [234]

Answer:

The coefficient of variation for the weight and age are 5.9% and 10.6%.

Step-by-step explanation:

The coefficient of variation (CV) is well defined as the ratio of the standard deviation to the mean. It exhibits the degree of variation in association to the mean of the population.

The formula to compute the coefficient of variation is:

CV=\frac{\sigma}{\mu}\times 100\%

Here σ = standard deviation and µ = mean.

Compute the mean and standard deviations of the two data set in Excel using the following functions.

Mean=AVERAGE()

Standard deviation=STDEV.S()

Consider the Excel sheet attached.

The mean and standard deviation of weight are:

Mean = 202, Standard deviation = 11.87

And the mean and standard deviation of weight are:

Mean = 25.88, Standard deviation = 2.75

Compute the coefficient of variation for the weight as follows:

CV_{weight}=\frac{\sigma}{\mu}\times 100\%

              =\frac{11.87}{202}\times 100\%\\\\=5.87624\\\\=5.9\%

Compute the coefficient of variation for the age as follows:

CV_{age}=\frac{\sigma}{\mu}\times 100\%

              =\frac{2.75}{25.88}\times 100\%\\\\=10.62597\\\\=10.6\%

Thus, the coefficient of variation for the weight and age are 5.9% and 10.6%.

8 0
3 years ago
The temperature dropped 3C every hour for 5 hours right in integer that represents the change in temperature
Sindrei [870]

Answer:

-15°C.

Step-by-step explanation:

They tell us that the temperature dropped 3 ° C every hour, therefore, the temperature change every hour = -3 ° C

They also tell us the total number of hours during which the temperature was changed = 5,

We have to:

The total change in temperature = change over an hour * total number of hours:

TC = - 3rd * 5

TC = -15 °

Then we can affirm that the integer representing the temperature change is -15 ° C.

6 0
3 years ago
What is the answer to -24 = 36x
Sedaia [141]

devide both sides by 36

-24/36 = x

reduce

-2/3

8 0
3 years ago
The following table shows the number of police calls that were made last year in each of the cities in Hogden county
aalyn [17]
The number of calls is 283.2 but can be rounded to just 283 calls. Sorry if i'm wrong
4 0
3 years ago
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