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
aleksklad [387]
3 years ago
13

A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10

ft. The pool is 23.62 ft on each side. To the nearest square foot, the area of the pool that needs to be covered is ft2.
Mathematics
2 answers:
bogdanovich [222]3 years ago
5 0

Correct Answer:

B. 960 ft^2

boyakko [2]3 years ago
3 0

Answer:

960.42\text{ ft}^2

Step-by-step explanation:

Please find the attachment.  

We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.

To find the area of community pool we will use area of pentagon formula.

\text{Area of pentagon}=\frac{1}{2}a*p, where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.

Let us find the perimeter of our given pentagon by multiplying each side length by 5.

\text{Perimeter of community pool}=5\times 23.62

\text{Perimeter of community pool}=118.1

Now let us find apothem of our pentagon by using Pythagoras theorem.  

a^2=20.10^2-11.81^2

a^2=404.01-139.4761

a^2=264.5339

a=\sqrt{264.5339}

a=16.2645

Upon substituting our given values in above formula we will get,

\text{Area of community pool}=\frac{1}{2}\times 16.2645\times 118.1

\text{Area of community pool}=8.13224907\times 118.1

\text{Area of community pool}=960.418615627971\approx 960.42

Therefore, the area of the pool that needs to be covered is 960.42 square feet.

You might be interested in
What is the following quotient? StartFraction RootIndex 3 StartRoot 60 EndRoot Over RootIndex 3 StartRoot 20 EndRoot EndFraction
FrozenT [24]

Answer:

\sqrt[3]{3}

Step-by-step explanation:

We are required to simplify the quotient: \dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}

Since the <u>numerator and denominator both have the same root index</u>, we can therefore say:

\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}

=\sqrt[3]{3}

The simplified form of the given quotient is \sqrt[3]{3}.

6 0
3 years ago
Read 2 more answers
I need help with this problem can you please show the work
AysviL [449]

Answer:

48 degrees

Step-by-step explanation:

inscribed angle is always equal to the measure of the arc

4 0
3 years ago
Explain the connection between factors of a polynomial, zeros of a polynomial function, and solutions of a polynomial equation.
MrRissso [65]

Answer:

Step-by-step explanation:

Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably.  When you factor a polynomial, you solve for x which are the solutions of the polynomial.  Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.  

Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with.  Each zero or solution is the x value when y = 0.  For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0.  What we have then is a binomial factor of the polynomial in the form (x - 3).  These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.

8 0
3 years ago
Every day Amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The aver
sukhopar [10]

Answer:

26

Step-by-step explanation:

3 0
3 years ago
What is the general form of the equation of the line shown?
ZanzabumX [31]

Check the picture below.  So let's use those two points on the line.

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-0}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=1(x-0)\implies y=x \\\\\\ -x+y=0\implies \stackrel{\textit{standard form}}{x-y=0}

bearing in mind that the standard form is also a general form.

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

5 0
3 years ago
Read 2 more answers
Other questions:
  • If an angle is obtuse, what type of angle is the supplement
    8·1 answer
  • Which rate can you set StartFraction 7 miles Over 1 hour EndFraction equal to in order to find the distance traveled in 49 hours
    11·2 answers
  • Identifying Information Necessary for Applying the SSS
    13·1 answer
  • What would the domain of this be in interval notation?
    10·1 answer
  • HELP Round your answers to the nearest tenth. WILL GUVE BRANLIEST​
    14·1 answer
  • How do you show your work on questions that are confeusing when you show your work
    10·1 answer
  • The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet.
    6·1 answer
  • QUESTION : WHICH LINES ARE PREPENDICULAR ? HOW DO YOU KNOW ? WILL REPORT THE ONES THAT DONT HELP !!!!​
    6·2 answers
  • Haelp meh pleaasee ;(​
    6·1 answer
  • What is the constant in the expression below?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!