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uranmaximum [27]
3 years ago
6

A couch and coffee table cost a total of $1044 . The cost of the couch is three times the cost of the coffee table. Find the cos

t of each item
Mathematics
1 answer:
Irina18 [472]3 years ago
4 0
3x + x = 1044

4x = 1044 - divide both sides by four

x = 261

coffee table - $261
couch - $783
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Which box-and-whisker plot represents this data: 6, 9, 13, 13, 18, 20, 22, 25, 26, 28, 30, 30 ?
BaLLatris [955]

do you want me to make you a box and whisker plot if so then here

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3 years ago
B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.
Ipatiy [6.2K]
The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint. 

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1

Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages. 

x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
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Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
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So the coordinates for D must be (-4, -7)
5 0
3 years ago
Read 2 more answers
A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is
Tcecarenko [31]

The horizontal distance to the control tower is approximately 18506.83m

Data;

  • distance from the ground = 3900m
  • angle of elevation = 11.4 degrees
  • horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

3 0
2 years ago
A plumber charges $90 per hour and a $50 travel fee.
Fittoniya [83]
Okay so subtract 50 from both sides and you would get 360=90x and then divide each side by 90 and you would get x= 4 so it took 4 hours
8 0
4 years ago
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alukav5142 [94]
I hope this helps you

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3 years ago
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