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Yuliya22 [10]
3 years ago
8

You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together—b

ut not necessarily facing opposite directions. In that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash (when the first beacon comes around for the second time). One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. If the beacons are set 120° apart along the rotation, as shown below, what is this ratio?
Mathematics
2 answers:
stiks02 [169]3 years ago
6 0

Answer:

i dont know

Step-by-step explanation:

Klio2033 [76]3 years ago
3 0

Answer:

great question

Step-by-step explanation:

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Find the 37th term of 352,345,338
Mariulka [41]

Answer:

a_{37}=100

Step-by-step explanation:

Given that,

A sequence 352,345,338.

First term = 352

Common difference = 345-352 = -7

We need to find the 37th term of the sequence.

The nth term of an AP is given by :

a_n=a+(n-1)d\\\\a_{37}=352+36\times (-7)\\\\a_{37}=100

So, the 37th term of the sequence is 100.

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3 years ago
Simplify 7x + 7 + 6x - 9.
ratelena [41]
The answer is 13x-2.
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3 years ago
Read 2 more answers
A is (4,15) and b is (8,1) what is the midpoint of AB?
antoniya [11.8K]

Answer:

(6,8)

Step-by-step explanation:

midpoint=(x1+x2)÷2,(y1+y2)÷2

a(4,15) b(8,1)

x=4+8=12÷2=6

y=15+1=16÷2=8

Answer=(6,8)

8 0
2 years ago
Find x, y and ab and how to check if the answer is right ​
iris [78.8K]

Answer:

  x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

  AX = XB

  AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

  • 8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
  • 8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

  24x +40 -3y +21 -22x = 5x +y +23 -4x +48

  2x -3y +61 = x +y +71 . . . . . . we can use this simplification

  x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

  2x -3y +61 +x +y +71 = 2x -5y +128

  3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

  x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

  • x -4y = 10
  • x +3y = -4

Subtracting the second from the first, we get

  -7y = 14

  y = -2

Substituting into the first of these simplified equations, we get

  x -4(-2) = 10 . . . . substitute for y

  x +8 = 10 . . . . . . .evaluate

  x = 2 . . . . . . . . . .subtract 8

So, the solution is (x, y) = (2, -2).

Now, the values of AX and XB are ...

  AX = 2x -3y +61 = 2·2 -3(-2) +61 = 71

  XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

  AB = 2x -5y +128 = 2·2 -5(-2) +128 = 142 . . . . = AX+XB, another good sign

The desired values are x = 2, y = -2, AB = 142.

_____

You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

4 0
3 years ago
Which statement about the graph is true? The graph shows a proportional relationship because it is a line, and the difference be
irga5000 [103]

Answer:

Quick question what graph

Step-by-step explanation:

5 0
3 years ago
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