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Nutka1998 [239]
2 years ago
14

Determine the period

Mathematics
1 answer:
Tamiku [17]2 years ago
4 0

assuming each grid is 1

period = 11 - 1

           = 10

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What is 3 to the power of three halves equal to?
Vlad1618 [11]
Square root of 27 is the answer
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3 years ago
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Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f
9966 [12]

Answer:

  72 feet from the shorter pole

Step-by-step explanation:

The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.

The shorter pole height as a fraction of the total pole height is ...

  18/(18+24) = 3/7

so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:

  d/168 = 3/7

  d = 168·(3/7) = 72

The wire should be anchored 72 feet from the 18 ft pole.

_____

<em>Comment on the problem</em>

This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.

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Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:

  L = √(18²+x²) + √(24² +(168-x)²)

and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.

7 0
3 years ago
What is 25.691 rounded to the greatest place
kvv77 [185]
The greatest place value is the tens spot which 2 is in the tens spot so we need to round up since 5 is next to the 2. The answer would be 30
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3 years ago
Help please, I will give brainliest :)
iren [92.7K]

Answer/Step-by-step explanation:

2) There is a cluster, and as x increases, y increases.

As x increases y increases it may be confusing because it steps down and then goes back up the overall shows that the number has gone up. it is a cluster because all the numbers are in a very close group.

7 0
3 years ago
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Solve for x. PLZ WAIT FOR THE PHTO TO UPLOAD
stepan [7]
6x² - 5x + -21 = 0

Because this whole equation equals zero, we must simply factorize the first half of the equation, or the left side.

(3x - 7)(2x + 3) = 0

I was never really taught a specific way to factorize, so I usually just guess and check when factorizing. It usually takes a long time, it always gives you the tight answer.

Then, take each equation and make it equal zero.

3x - 7 = 0 AND 2x + 3 = 0

3x - 7 = 0

Add 7 to both sides.

3x = 7

Divide both sides by 3.

x = 7/3

Now, we do our second equation.

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Subtract 3 from both sides.

2x = -3

Divide both sides by 2.

x = -3/2

So, x = 7/3 AND x = -3/2

So, your answer is C) x = 7/3, x = -3/2

~Hope I helped!~
7 0
3 years ago
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