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Ilia_Sergeevich [38]
3 years ago
8

If a door is 36 inches in width opens to an angle of 140 degrees,how large an arc is created?

Mathematics
1 answer:
Anni [7]3 years ago
8 0
Look at the picture below.

I hope this helps!

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8x + 20y = 20<br> 14x + 35y = k<br> For the above system of equations to be consistent, k must equal
Goshia [24]

Answer:

  35

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

<h3>Slopes</h3>

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

  line 1 slope = -8/20 = -2/5

  line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

<h3>Y-intercept</h3>

The y-intercept of each line is the ratio of the constant to the y-coefficient:

  line 1 y-intercept = 20/20 = 1

  line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

  k/35 = 1

  k = 35

For the equations to be consistent, we must have k = 35.

__

<em>Additional comment</em>

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

7 0
2 years ago
Identify the graph of y=x3.
77julia77 [94]

Answer:

2nd Graph

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write the equation for the line that passes theough (-4 , 9) and is parallel to the given line
devlian [24]

Step-by-step explanation:

Equation is y = -3/4x + 12.

3 0
3 years ago
C(x)=2x^2-400x+31,000
NemiM [27]
This is a quadratic so if you want to find the solutions, use the quadratic formula. Google quadratic formula and videos on it and how to use it will pop up.
7 0
3 years ago
A coat has been marked down 20% to $26.40 what was it's original value?
Gemiola [76]
20% is equal to 0.2
0.2 times 26.40 is equal to 5.28
26.40 minus 5.28 is equal to 21.12
6 0
3 years ago
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