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noname [10]
3 years ago
14

A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular

area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch.

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
5 0

Answer:   1.50(\pi x^2-2\sqrt{2}x^2)

Step-by-step explanation:

Here the function that shows the total area of mulch,

m(x)=\pi x^2-2\sqrt{2}x^2

Also, the function that shows the total cost mulch that requires,

g(m) = 1.50 m

By putting the value of m,

We get,

\implies g(m) = 1.50( \pi x^2-2\sqrt{2}x^2 )

Where x is the radius of the circle.

Thus, First option is correct.

svlad2 [7]3 years ago
4 0

Answer:

First Option

Step-by-step explanation:

Just took quiz

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Find the missing value.
denis-greek [22]

Answer:

-7

Step-by-step explanation:

x + 5 = -2

<h2>I hope this helped! :)</h2>
8 0
3 years ago
What is the value of y that satisfies the
Allisa [31]
Y=4
3y/4=12/3
y=4 3/3=1
12/3=4 so y=4
3 0
3 years ago
A large dining room table is in the shape of a semi circle diameter 12 feet. What is the square feet closest to the area ? Radiu
Zarrin [17]
No, the radius is not 3.14 .  The radius is 1/2 of the diameter . . .  That's 6 feet.
If you see 3.14 on the sheet, then that's the number you're supposed to use for pi .

The area of any circle is (pi) x (radius squared).
If the table were a full circle, its area would be (pi) x (6 squared) = 36 pi square feet.

But it's only half of that . . . 18 pi = (18) x (3.14) = <u>56.52 square feet</u>.

That's called the "area" of the table, not the "square feet" of the table.

And another thing:   I see you're asking for the "closest" number.   Don't ask me
how I know this, but I'm pretty sure that right under this question wherever you
copied it from, there's a list of choices, and when you posted the question, for
some reason you decided not to share the list.
7 0
3 years ago
Need help with Math (Quadratic)
BaLLatris [955]

Answer:

  f(x) = 2(x -3)² +5   or   f(x) = 2x² -12x +23

Step-by-step explanation:

The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.

__

<h3>vertex form</h3>

The vertex form equation for a parabola is ...

  f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'

<h3>equation</h3>

For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...

  f(x) = 2(x -3)² +5 . . . . . vertex form equation

Expanded to standard form, this is ...

  f(x) = 2(x² -6x +9) +5

  f(x) = 2x² -12x +23 . . . . . standard form equation

8 0
2 years ago
Xin Used 20 yards of fencing to build the walls of a square a chicken coop. Used 20 yards of fencing to build the walls of a squ
Gnoma [55]

Answer:

Equation: 20=4x or x=\frac{20}{4}

Solution: x=5

Step-by-step explanation:

The formula that is used to calculate the perimeter of  a square is:

P=4s

Where "s" is the side lenght the square.

Knowing that Xin used  20 yards of fencing to build the walls of a square chicken coop (in which the lenght in yards of each wall is represented with "x"), you can identify that:

P=20\\\\s=x

Then, you can susbtitute values into the formula P=4s:

20=4x

Finally, you must solve for "x" in order to find its value.

This is:

\frac{20}{4}=x\\\\x=5

6 0
3 years ago
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