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fomenos
3 years ago
9

Jeff is using tape on the gym floor to mark sides of a rectangular volleyball court. the court is 18 meters long. it has an area

of 162 square meters. each 20-meter roll of tape costs $2.79. what is the total cost for the rolls of tape that jeff needs to mark the sides of the volleyball court
a. $5.58
b. $8.37
c. $11.16
d. $13.95
Mathematics
1 answer:
pochemuha3 years ago
8 0
First, determine the width of the court by dividing the area by the length. 
                               width = area / length
                               width = 162 m²/18 m = 9 m
Then, determine the perimeter of the court by the equation
                               P = 2L + 2W
where L and W are length and width, respectively. 
                             P = 2(18m) + 2(9m) = 54 m
Given that every 20 m roll of tape costs $2.79, and even if the court is only 54 m, Jeff still needs to buy 3 20-m roll
                       total cost = ($2.79) x 3 = $8.37
Thus, the answer is letter B.  
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A cell tower is located at and transmits a circular signal that covers three major cities. The three cities are located on the c
Lelu [443]

Answer:

(x+8)^2 +(y-4)^2 = 25

Step-by-step explanation:

Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"

For this case the generla equation for the circle is given by:

(x-h)^2 +(y-k)^2 = r^2

From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:(x+8)^2 +(y-4)^2 = r^2

If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for r^2

(-4+8)^2 +(7-4)^2 =25= r^2

So then r = \sqrt{25}=5

And if we replace the second point we got this:

(-13+8)^2 +(4-4)^2 = 25 =r^2

And for the third point we have:

(-8+8)^2 +(-1-4)^2 = 25 =r^2

And we got the same result.

So then our final equation is given:

(x+8)^2 +(y-4)^2 = 25

4 0
3 years ago
Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2
soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is \frac{-1}{2}

Need to determine value of r.

Slope of a line passing through point \left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)  is given by following formula:

\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  --- eqn 1

\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}

On substituting the given value in (1) we get

\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}

Hence the value of "r" is -2

8 0
3 years ago
9. Kara is making copies of articles she needs to for her research paper. The local library charges $0.17 per page, and she has
Dominik [7]
9.35$ Because if you Think in ur brain and you multiply by Benjamin Franklin Then If you do
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8 0
3 years ago
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
Liula [17]

Answer:

(x-1)(x-4)

Step-by-step explanation:

I used long division with polynomials to help me find the other factor to this problem.  Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.

Hope this helps!

5 0
3 years ago
Read 2 more answers
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SOVA2 [1]

Answer:

ne diyorsunuz anlamadım gitti

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