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MissTica
2 years ago
6

Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so t

hat it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.
Mathematics
2 answers:
Vlada [557]2 years ago
8 0

Answer:

In order for the tower to have an equal distance from each center, the company must find which point is equidistant from the vertices of the triangle. This will be the circumcenter of the triangle. This can be found through constructing the point of concurrency of the perpendicular bisectors the triangle has.

Step-by-step explanation:

This is pretty much the sample response but I rephrased it. :D

Vsevolod [243]2 years ago
7 0

Answer:

The middle of the triangle.

Step-by-step explanation:

If the 3 towns each have a highway connecting the center of each town then you place it in the middle of the triangle.  Which would be equadistant from each of the centers of the town.

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-5+22=r-4+3r+5<br> I need help please and thank u
Brilliant_brown [7]

Answer:

r = 4

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-5 + 22 = r - 4 + 3r + 5

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Combine like terms:                    17 = 4r + 1
  2. Subtract 1 on both sides:             16 = 4r
  3. Divide 4 on both sides:               4 = r
  4. Rewrite:                                        r = 4

<u>Step 3: Check</u>

<em>Plug in r to verify it's a solution.</em>

  1. Substitute:                    -5 + 22 = 4 - 4 + 3(4) + 5
  2. Add/Subtract:               17 = 3(4) + 5
  3. Multiply:                        17 = 12 + 5
  4. Add:                              17 = 17
6 0
3 years ago
Simplify 8(xy + 8) + 1. 8xy + 9 8xy + 65 8xy + 73
Advocard [28]

Answer:

8xy + 65

Step-by-step explanation:

8(xy + 8) + 1.

8      x 8=

        64 + 1=

                    65    (8xy + 65)

---------------------------------------------

LINE THE NUMBERS UP AND IT WILL MAKE SENSE

5 0
3 years ago
Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?
vladimir1956 [14]
tan(4x- \pi )= \frac{sin(4x- \pi )}{cos(4x- \pi )}

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0

cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2

4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8

4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2

4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8

Asymptotes are π/8 and 3π/8




4 0
3 years ago
What is the answer Barbara also works part-time at themepark the radio of the number of hours Barbara works at the park to the m
Angelina_Jolie [31]
1:9.....this is basically saying that for every 1 hr she works, she makes $ 9

5 hrs ..(5 * 9) = 45..... 5:45 or 5 to 45 or 5/45
6 hrs...(6 * 9) = 54......6:54 or 6 to 54 or 6/54
8 hrs...(8 * 9) = 72......8:72 or 8 to 72 or 8/72
7 0
3 years ago
Solve for the given variable
Ne4ueva [31]

Answer:

30

Step-by-step explanation:

Well we know the first angle is 90 degrees, which means we have 90 degrees left to work with. Then, the top angle would be 60 degrees, because there is a straight line (which of course has to equal 180), so 180-120 = 60. Now, 90-60=30!

3 0
2 years ago
Read 2 more answers
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