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11Alexandr11 [23.1K]
3 years ago
10

Ashton plans to put a fence around his circular garden. When Ashton walks from one side of the garden to the other, through the

middle, it is 7.5 metres. Fencing is sold in 1m pieces and costs $8.99 per meter. Find the circumference of the garden. How much will it cost for Ashton's new fence? 2.
Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

Circumference:   C = 7.5π m.  This is approximately 23.56 m

Total fencing cost:  $215.76

Step-by-step explanation:

Ashton walks along the diameter of the garden, which is 7.5 m.

The circumference formula C = πd yields C = 7.5π m.  This is approximately 23.56 m, which we must round up to 24 m, and which calls for 24 - 1 m pieces at $8.99 each.

The desired fencing would cost (24 m)($8.99/m), or $215.76

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What is the quotient of the following division problem? x 1 startlongdivisionsymbol x squared 3 x 2 endlongdivisionsymbol. minus
Monica [59]

The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

<h3>What is the quotient?</h3>

Quotient is the resultant number which is obtained by dividing a number with another. Let a number <em>a</em> is divided by number b. Then the quotient of these two number will be,

q=\dfrac{a}{b}

Here, (a, b) are the real numbers.

The given division expression is,

\dfrac{x^2+3x+2}{x+1}

Let the quotient of this division problem is f(x). Thus,

f(x)=\dfrac{x^2+3x+2}{x+1}

Factor the numerator expression as,

f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Learn more about the quotient here;

brainly.com/question/673545

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2 years ago
The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is
Nimfa-mama [501]

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

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Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

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Take the cube root of both sides:

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The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

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3 years ago
Help me please .......​
kati45 [8]

Answer:

\huge\boxed{\sf No}

Step-by-step explanation:

<u>The ordered pairs for the given relation are:</u>

=> {(6,2)(-1,2)(-1,-1)(4,3)}

Domain => x-inputs of the ordered pairs

Domain => (6,-1,4)

Range => y-inputs of the ordered pairs

Range = (2,-1,3)

Since, <em>the values in the domain (-1) are being repeated, this relation is not a function.</em>

<em />

Hope this helped!

~AnonymousHelper1807

6 0
3 years ago
Help help I don’t really get this???
insens350 [35]

Answer:

Question 4:  y=\displaystyle -\frac{4}{5}x

Question 5: y=-5x-3

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

<u>Question 4</u>

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

\displaystyle m=\frac{y_2-y_1}{x_2-x_1} where two points that pass through the line are (x_1,y_1) and (x_2,y_2)

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}

Therefore, the slope of the line is \displaystyle -\frac{4}{5}. Plug this into y=mx+b as the slope (<em>m</em>):

y=\displaystyle -\frac{4}{5}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (<em>b</em>) is 0. Plug this into y=\displaystyle -\frac{4}{5}x+b:

y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x

<u>Question 5</u>

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5

Therefore, the slope is -5. Plug this into y=mx+b:

y=-5x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (<em>b</em>) is -3. Plug this into y=-5x+b:

y=-5x+(-3)\\y=-5x-3

I hope this helps!

8 0
2 years ago
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