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Cloud [144]
3 years ago
7

Count by 4 tens starting at 14

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0
4,8,12,16,20,24,28,32,36,40
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Find the value of x in the figure. A. 6 C. 3 B. 5 D. 7
WITCHER [35]
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The points (-10, 0) and (-5, 3) fall on a particular line. What is it’s equation in slope-intercept form?
yaroslaw [1]

Answer:

  y = 3/5x + 6

Step-by-step explanation:

When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given point coordinates, this is ...

  y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0

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  y = (3/5)x + 6

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3 years ago
Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
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Then, you can use Pythagorean theorem:

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Solve:

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  • 5.5r = 28.4375
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The solution is in inches: r = 5.6875 inches ← answer

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3 years ago
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gavmur [86]
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24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
24x - 3x = 27 - 30
21x = - 3
x = -3/21
x = - 0.143 <==
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(50 POINTS) Express each sum using summation notation.
vesna_86 [32]

14: a

1

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3 years ago
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