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prohojiy [21]
3 years ago
9

Samantha is buying carpet for her family​ room, which is 10 yards by 13 yards. the carpeting is sold in square meters. how many

square meters of carpeting will she​ need? ​ (use 1 yd almost equals≈ 0.9144​ m.)
Mathematics
1 answer:
Illusion [34]3 years ago
5 0
1 yard ≈ 0.9144 m

Therefore,
10 yards = 10*0.9144 m = 9.144 m
13 yards = 13*0.9144 m = 11.8872 m

Area to be covered = 9.144*11.8872 = 108.697 m^2

Therefore, Samantha will require approximately 109 m^2 of carpet.
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What is 2x - y = last question
Elza [17]

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

2x−y

There are no like terms.

Answer:

=2x−y

8 0
3 years ago
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for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

  • (3/k)*(- 6) = - 1
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So when k is 18, the lines are perpendicular.

4 0
1 year ago
Convert 0.00000065 into scientific notation. (Ex: {6.14×10²} )
yKpoI14uk [10]

Answer:

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Step-by-step explanation:

5 0
2 years ago
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Solve. Show your work. 0.24+ 0.532 = ​
garik1379 [7]

Answer:

0.772

Step-by-step explanation:

0.24+ 0.532 =

Line up the decimals

  0.24

+ 0.532

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7 0
3 years ago
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F(x)=-x^2+8x+15 ...?
rusak2 [61]
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span> <span>(x−4<span>)2</span>−31=0</span> <span>x=4±<span>31<span>−−</span>√</span></span>
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To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
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