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
KatRina [158]
2 years ago
14

Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to in

stall a concrete walkway of width c around the pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.
Mathematics
1 answer:
meriva2 years ago
6 0

Lets solve the question,

Given dimensions are:

Length = 26 feet

Width = 14 feet

concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 26 + 2c

Width = 14 + 2c

She wants to build a wooden deck around the pool with a concrete walkway of width = w

Thus the dimensions of the wooden deck around the pool will be,

Length = 26 + 2c + 2w

Width = 14 + 2c + 2w

Now the perimeter of the wooden deck will be,

Perimeter = 2(length + width)

 = 2[(26 +2c + 2w) + 2(14 + 2c + 2w)]                = 2(40 + 4c + 4w)                = (80 + 8c + 8w)

Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w

Perimeter = (80 + 8c + 8w)

Learn more about Perimeter on:

brainly.com/question/397857

#SPJ10

You might be interested in
Suppose that a rectangle has a perimeter of 17 meters. Express the area A(x) of the rectangle in terms of the length x of one of
Simora [160]
<span>Let the length of one side of the rectangle be x. Then the opposite side of the rectangle also has a length of x. The sum of the other two sides must be 17 - 2x. So the length of one of these sides is 8.5 - x. The length of two sides of the rectangle are x and 8.5 - x. To find the area, we need to multiply these two values. A(x) = (x) (8.5 - x) = 8.5x - x^2</span>
4 0
4 years ago
Student Stars Mazie 7 Chris 4 Jenni -3 Scott 0 Michael 2 Zoe 4 Liza -5 Thomas -1 Benjamin 6 Josie 1 Chase 8 David -4 Students in
Luda [366]
The students with negative star values are Jenni, Liza, Thomas, and David. Therefore, these four students must serve detention.
3 0
3 years ago
What is the mean of the following set of numbers? 12, 14, 2, 12
Ratling [72]
The mean is 10 because you will add all the numbers and then divide the answer by 4
8 0
3 years ago
Read 2 more answers
HELP TEST EMERGENCY !!!
stiks02 [169]

Answer:

DG = 17

Step-by-step explanation:

DG and EF are similar so sides are same.

2x - 7 = x + 5

2x - x = 5 + 7

x = 12

So DG = 2x - 7

           = 2(12) - 7

           = 24 - 7

           = 17

4 0
3 years ago
A local service agency hires you to estimate the average annual income of all 700 families living in a four square block section
Digiron [165]

Answer:

The true estimate of  the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval below

   34854.3  <  \mu < 35 745.7

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  50  

    The sample mean is \= x = \$ 35300

     The population standard deviation is  \sigma =  \$ 1800

From the question we are told the confidence level is  92% , hence the level of significance is    

      \alpha = (100 - 92 ) \%

=>   \alpha = 0.08

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.751

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E = 1.751  *  \frac{1800 }{\sqrt{50} }

=>   E =  445.7

Generally 92% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=> 35 300 -445.7 <  \mu < 35 300 + 445.7

=> 34854.3  <  \mu < 35 745.7

So the true estimate of  the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval

3 0
3 years ago
Other questions:
  • Find the properties of the parabola with the equation (x + 5) 2 = 4(y - 1)
    6·1 answer
  • Solve for g.<br> 4(g - 17) = 12<br> g=
    6·2 answers
  • Help please solving this multiplication not sure.
    12·2 answers
  • Select all the terms that are like terms.
    12·2 answers
  • A 100-foot wire extends from the top of a pole to a point p on the ground, as shown in the figure below. Which expression gives
    12·1 answer
  • Solve. 4y 16 &gt; –8 <br> a. y &gt; –6 <br> b. y &gt; –2 <br> c. y &gt; 2 <br> d. y &gt; 6
    9·1 answer
  • What is the exact volume of a sphere with a diameter of 36 in.?
    10·1 answer
  • Double Delicious Bakery sells a dozen double chocolate dounts for $7.80
    5·1 answer
  • Write 13 1/5 as a decimal. ​
    8·2 answers
  • os pais da lena têm uma estufa de morangos num terreno com a forma de um quadrado com 200 cm^{2} de área. pretendem colocar uma
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!