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victus00 [196]
3 years ago
15

Based on the dot plots shown in the images, which of the following is a true statement? A. Set B has the greater mode. B. Set A

has more items than set B. C. Set A is more symmetric than set B. D. Set B has the greater range.

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0
D. Set B has the greater range.
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The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
      x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
   This creates an equilateral triangle with equal sides
    The sides are 1, 1 and 1.

Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

7 0
3 years ago
1. On Tuesday, Elena completed 20 items of her math homework in 36 minutes. At that same rate, how long will it take her to comp
zepelin [54]
The correct answer is 63 minutes, what you do is divide 36/20 to get 1.8 then multiply 35*1.8 to get 63.
Brainliest answer?
4 0
3 years ago
Boris drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 216 miles?
satela [25.4K]
Use proportion to solve this.
240 miles needs 9 gallons
216 miles needs (9÷240) × 216 = 8.1 gallons

Hope it helped!
6 0
3 years ago
Read 2 more answers
Owen plots the numbers 4, –6, –8, and –3 on a horizontal number line. Which list shows the numbers in the order in which they wo
olga_2 [115]

Answer:-8, -6,-3, 4 is the correct answer

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Helppppppp pleaseeee it’s mathhhhhh
Anuta_ua [19.1K]

Answer:

73

Step-by-step explanation:

6x+25=10x-11

-4x=-36

x=8

6(8)+25

48+25=73

I am not sure on this one but hope I helped

3 0
2 years ago
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