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
evablogger [386]
1 year ago
8

Cynthia Bech want to buy a rug for a room that i 20 ft wide and ft long. She want to leave a uniform trip of 29 floor around the

rug. She can afford to buy 322 quare feet of carpeting. What dimenion hould the rug​ have?
Mathematics
1 answer:
Hoochie [10]1 year ago
8 0

On solving the question, we got that - The dimensions of the rug should be 18 feet and 24 feet

<h3>What is area of rectangle?</h3>

By multiplying the rectangle's length by its breadth, we may get its area.

Equiangular quadrilaterals, like rectangles, are known in this way. This is so because a rectangle is a four-sided quadrilateral shape with parallel sides that are equal to one another and four corners with 90o angles. Rectangles are sometimes known as equiangular quadrilaterals since all of its angles are 90 degrees.

the parameters provided;

The room is 20 feet by 26 feet in size.

432 feet2 is the largest area rug she can afford.

If the floor will be a uniform stripe around the rug, then each dimension should have its uniform extra length of floor =  (y).

Area = Length X Width\\432 = ((20=y) X (26-y)\\432 = 520 - 20y - 26y + y^2\\y^2 - 46y+88=0\\

here, a= 1, b= -46, c =88

y = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\

y = \frac{-(-46) +/- \sqrt{(-46)^2 - 4X1X88} } {2} \\\\y = 44 \\or\\ y =  2

Therefore, Length = 20-2 = 18 ft

and width = 26-2 = 24ft

To know more about rectangle visit:

brainly.com/question/15019502

#SPJ4

You might be interested in
Help on logarithmic equation
inessss [21]
\log _{ 2 }{ \left( 3-x \right)  } +\log _{ 2 }{ 5 } =2\log _{ 3 }{ 5 } \\ \\ \log _{ 2 }{ \left( 5\left( 3-x \right)  \right)  } =\log _{ 3 }{ \left( { 5 }^{ 2 } \right)  } \\ \\ { 2 }^{ \log _{ 3 }{ 25 }  }=5\left( 3-x \right) \\ \\ { 2 }^{ \log _{ 3 }{ 25 }  }=15-5x\\ \\ 5x=15-{ 2 }^{ \log _{ 3 }{ 25 }  }\\ \\ x=\frac { 15 }{ 5 } -\frac { { 2 }^{ \log _{ 3 }{ 25 }  } }{ 5 } \\ \\ x=3-\frac { { 2 }^{ \log _{ 3 }{ 25 }  } }{ 5 }
8 0
3 years ago
What is a quadrilateral with opposite sides that are parallel,4 sides that are the same length,and no right angles?
STALIN [3.7K]
The shape you describe is a rhombus. 
7 0
3 years ago
The summer monsoon brings 80% of India's rainfall and is essential for the country's agriculture.
Natasha_Volkova [10]

Answer:

Step 1. Between 688 and 1016mm. Step 2. Less than 688mm.

Step-by-step explanation:

The <em>68-95-99.7 rule </em>roughly states that in a <em>normal distribution</em> 68%, 95% and 99.7% of the values lie within one, two and three standard deviation(s) around the mean. The z-scores <em>represent values from the mean</em> in a <em>standard normal distribution</em>, and they are transformed values from which we can obtain any probability for any normal distribution. This transformation is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

\\ \mu\;is\;the\;population\;mean

\\ \sigma\;is\;the\;population\;standard\;deviation

And <em>x</em> is any value which can be transformed to a z-value.

Then, z = 1 and z = -1 represent values for <em>one standard deviation</em> above and below the mean, respectively; values of z = 2 and z =-2, represent values for two standard deviations above and below the mean, respectively and so on.

Because of the 68-95-99.7 rule, we know that approximately 95% of the values for a normal distribution lie between z = -2 and z = 2, that is, two standard deviations below and above the mean as remarked before.

<h3>Step 1: Between what values do the monsoon rains fall in 95% of all years?</h3>

Having all this information above and using equation (1):

\\ z = \frac{x - \mu}{\sigma}  

For z = -2:

\\ -2 = \frac{x - 852}{82}

\\ -2*82 + 852 = x

\\ x_{below} = 688mm

For z = 2:

\\ 2 = \frac{x - 852}{82}

\\ 2*82 = x - 852

\\ 2*82 + 852 = x

\\ x_{above} = 1016mm

Thus, the values for the monsoon rains fall between 688mm and 1016mm for approximately 95% of all years.

<h3>Step 2: How small are the monsoon rains in the driest 2.5% of all years?</h3>

The <em>driest of all years</em> means those with small monsoon rains compare to those with high values for precipitations. The smallest values are below the mean and at the left part of the normal distribution.

As you can see, in the previous question we found that about 95% of the values are between 688mm and 1016mm. The rest of the values represent 5% of the total area of the normal distribution. But, since the normal distribution is <em>symmetrical</em>, one half of the 5% (2.5%) of the remaining values are below the mean, and the other half of the 5% (2.5%) of the remaining values are above the mean. Those represent the smallest 2.5% and the greatest 2.5% values for the normally distributed data corresponding to the monsoon rains.

As a consequence, the value <em>x </em>for the smallest 2.5% of the data is precisely the same at z = -2 (a distance of two standard deviations from the mean), since the symmetry of the normal distribution permits that from the remaining 5%, half of them lie below the mean and the other half above the mean (as we explained in the previous paragraph). We already know that this value is <em>x</em> = 688mm and the smallest monsoons rains of all year are <em>less than this value of x = </em><em>688mm</em>, representing the smallest 2.5% of values of the normally distributed data.

The graph below shows these values. The shaded area are 95% of the values, and below 688mm lie the 2.5% of the smallest values.

3 0
3 years ago
In the figure, lines a and b are parallel.
navik [9.2K]

Answer:

<h2>m∠2 = m∠1</h2><h2>m∠1 = 75°</h2>

Step-by-step explanation:

Look at the picture.

Vertical angles, corresponding angles, alternate exterior angles are congruent.

Supplementary angles add up to 180°.

5 0
3 years ago
For an arithmetic sequence,first term is 2 and the common difference is 3 find the sum of the first 11
romanna [79]

Answer:

35

Step-by-step explanation:

by adding three to the next number each time, the answer is 35

6 0
2 years ago
Other questions:
  • Small balloons cost 95 cents each and large balloons cost $1.45 each.
    7·1 answer
  • At the beach 29% of people have red towels and 18% have white towels if the rest have blue ,what percentage of the people at the
    7·2 answers
  • A table is 4 ft high. A model of the table is 6 in. high. What is the ratio of the height of the actual table to the height of t
    13·2 answers
  • Factor the following polynomial completely.<br><br>y squared plus 5 zy plus 4 z squared<br><br>​
    14·1 answer
  • Twin brothers, Mike and Mark, are both offered jobs at grocery stores. Mike is offered a job at Fresh Foods making $10 per hour.
    13·1 answer
  • A rectangle has a length of 10 inches and a width of 5 inches. If the length is increased by x inches and the width decreased by
    11·1 answer
  • Which unit of measures would be appropriate for the volume of a cube with sides of 2 meters
    15·1 answer
  • Bob is thinking about leasing a car the lease comes with an interest rate of 8% determine the money factor that will be used to
    13·1 answer
  • Pls help I’ll give BRAINLIEST
    5·2 answers
  • Help, I’ll give brainliest if you tell me what like terms and terms are.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!