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
trapecia [35]
3 years ago
5

Three schools are located at points A, B, and C. The school district wants to locate its new stadium at a location that will be

roughly the same distance from all 3 schools. Where should they build the stadium? Explain or show your reasoning.​

Mathematics
1 answer:
dangina [55]3 years ago
7 0

I have attached the image showing the location of the three schools.

Answer:

Should be built at the centroid of the triangle formed by points A, B and C.

Step-by-step explanation:

From the attached image, we see that if we join the 3 points by a straight line, they will form a triangle.

Now, to get a location that will be roughly the same distance from all 3 schools, it means a point that is equal to each of 3 vertex of the triangle.

The point that is equal to each vertex of a triangle is known as "Centroid".

Now, to find this centroid, we will add up the (x, y) coordinates of the 3 vertex and divide by 3.

For example;let's assume ;A has a coordinate of (x1, y1) ; B has a coordinate of (x2, y2) ; C has a coordinate of (x3, y3).

The coordinates of the centroid will be;

[(x1 + x2 + x3)/3], [(y1 + y2 + y3)/3]

You might be interested in
If 3x - 1 = 11, what is the value of x2 + x?
Alex
3x -1 = 11
3x = 11 + 1
3x = 12
x = 4
I take it by, x2 + x, you mean 2x + x, since x = 4, then 
2x + x = 2(4) + (4) = 8 + 4 =12 
6 0
3 years ago
SCCoast, an Internet provider in the Southeast, developed the following frequency distribution on the age of Internet users. Fin
Tomtit [17]

Answer:

Mean: 40.17 years.

Standard deviation: 10.97 years.

Step-by-step explanation:

The frequency distribution is in the attached image.

We can calculate the mean adding the multiplication of midpoints of each class and frequency, and dividing by the sample size.

The midpoints of a class is calculated as the average of the bounds of the class.

Then, the mean can be written as:

E(X)=\dfrac{1}{N}\sum f_iX_i\\\\\\E(X)=\dfrac{1}{60}(3\cdot15+7\cdot25+18\cdot35+20\cdot45+12\cdot 55)=\dfrac{45+175+630+900+660}{60}\\\\\\E(X)=\dfrac{2,410}{60}=40.17

The standard deviation can be calculated as:

s=\sqrt{\dfrac{1}{N-1}\sum f_i(X_i-E(X))^2}\\\\\\s=\sqrt{\dfrac{1}{59}[3(15-40.17)^2+7(25-40.17)^2+18(35-40.17)^2+20(45-40.17)^2+12(55-40.17)^2]}

\\\\\\s=\sqrt{\dfrac{1}{59}( 1,900.59  + 1,610.90  + 481.12  + 466.58  + 2,639.15  )}\\\\\\s=\sqrt{\dfrac{ 7,098.33 }{59}}=\sqrt{120}=10.97

4 0
3 years ago
Need help... Fast! will give brainiest <br> What is the solution set of x/4 &lt; 9/x ?
Ivenika [448]

Answer:

Option (4)

Step-by-step explanation:

Given inequality is,

\frac{x}{4}\leq \frac{9}{x}

\frac{x}{4}-\frac{9}{x}\leq 0

\frac{x^{2}-36}{4x}\leq 0

x ≥ 0 [For x = 0, fraction is not defined]

(x - 6)(x + 6) ≤ 0

x - 6 ≤ 0

x ≤ 6

Or

x + 6 ≤ 0

x ≤ -6

Therefore, solution set is (-∞, -6] ∪ (0, 6]

By plotting the solution area on a number line,

Option (4) will be the answer.

7 0
3 years ago
A zoo has six adult tigers. Their caretaker orders a total of 40.8 kilograms of meat for them each day. Each tiger receives the
lbvjy [14]

Each tiger gets 6.8 kilograms of meat a day. I used a calculator to divide 60.8 by 6.

8 0
2 years ago
If a logo of 6 ft and he needs a quart of paint for every 22 square ft how many quarte will he need for the whole logo
bulgar [2K]

Complete Question

If a logo has dimensions of 6 ft and 11ft, he needs a quart of paint for every 22 square ft. How many quarts will he need for the whole logo?

Answer:

3 quarts of paint

Step-by-step explanation:

The Logo is rectangular in shape, hence:

The area of a rectangle = Length × Width

The logo has dimensions of 6 ft and 11ft.

Area of the Logo = 6ft × 11ft = 66ft²

He needs a quart of paint for every 22 square ft

Hence:

22 ft² = 1 quart of paint

66ft² = x

Cross Multiply

22 ft² × x = 66 ft² × 1 quart

x = 66 ft² × 1 quart/22 ft²

x = 3 quarts of paint

Therefore, he will need 3 quarts of paint for the whole logo.

7 0
3 years ago
Other questions:
  • A rectangle picture frame has a perimeter of 30 inches,the height of the frame is 8 inches , what is the width of the frame?
    11·1 answer
  • Mr.parker will mix antifreeze and water in a ratio of 2 to 1 he needs 27 quarts of the antifreeze and water mixture to fill his
    8·1 answer
  • I NEED HELP! PLEASE
    7·1 answer
  • Explain the difference between solving 2x+15-3x=10 and 2x-4=3x+11
    11·1 answer
  • What this whole unit thing about can someone help me with the answer and explain plz:)
    14·1 answer
  • How do i find the perimeter of this polygon?
    13·2 answers
  • BRAINLIEST!!
    10·1 answer
  • -2x+7y=12<br> 3x+6y =3<br> solve by elimination
    11·1 answer
  • The daily low temperatures in a city have been below 0° Fahrenheit (F) for the past two days. On Monday, the daily low temperatu
    13·1 answer
  • Find the value of a 7-year-old car if the purchase price was $25,000 and it depreciates at a rate of 8% per year. Round your ans
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!