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
nika2105 [10]
2 years ago
10

A swimming pool is to be constructed in a 1,176-ft2 backyard. There is to be a fence that will surround a 14-by-28-foot pool. Th

e pool builder wants to build a concrete paver deck of a uniform width, x, surrounding the pool and filling the entire area of the backyard. What is the width of the pool deck?
Mathematics
1 answer:
kykrilka [37]2 years ago
4 0

The width of the deck to cover the backyard is 7 feet.

<h3>Area </h3>

Area is the amount of space occupied by a two dimensional object.

Length = 28 ft.,

width = 14 ft.

For width x, length of and  = 28 + x + x = 2x + 28, width of pool and deck and  = 14 + x + x = 2x + 14

Area of pool and deck = (2x + 28)(2x + 14) = 1176

4x² + 84x + 392 = 1176

4x² + 84x - 784 = 0

x = 7 ft.

The width of the deck  to cover the backyard is 7 feet.

Find out more on Area  at: brainly.com/question/25292087

You might be interested in
I suck at math but what's greater 0.67 or 0.6
Vesna [10]

Answer:

0.67!

Step-by-step explanation:

0.6 is just 0.60 which is less than 0.67

6 0
3 years ago
What is 1 2/3 as an improper fraction
nataly862011 [7]
Hi there! To turn a mixed number into a improper fraction we multiply 1 by 3 and add 2. 1 2/3=1×3+2/3=5/3. Therefore, 1 2/3 as an improper fraction is 5/3.
6 0
3 years ago
What is the rule input numbers are 17 18 _ 28_40
Lelu [443]
19 27 28 29 30 315 64 29 46 is the 
\
4 0
3 years ago
Helpppp asapp PLEASE AND THANK YOU
kondaur [170]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak
STatiana [176]
<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

f(t)=-16t^{2}+64t+4

Where,

a=-16\\b=64\\c=4

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0

Using the quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

3 0
3 years ago
Other questions:
  • Please help me on this
    10·1 answer
  • He list shows the growth in centimeters of 12 plants during one week. 6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14 Which box plot best
    8·1 answer
  • A cereal box is an example of what ?
    13·2 answers
  • The attendence at a water park varies directly as the temperature and invesely as the number of days of rain during the month. I
    10·1 answer
  • What’s the correct answer
    9·2 answers
  • What is 1/3^5 whole form?
    15·2 answers
  • The equation below describes a parabola. If ais negative, which way does the<br> parabola open?
    15·2 answers
  • Cuál es el radio de un círculo con diámetro de 47 mm​
    6·1 answer
  • What is the product of: 2xyz-3yz+4xz
    8·2 answers
  • M. Section 4.1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!