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gladu [14]
3 years ago
11

Select the counterexample to this conjecture:

Mathematics
1 answer:
vredina [299]3 years ago
4 0
The answer is .90º + 90º = 180º, <span>.90º  is not an obtuse angle</span>
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Given: △CGF ,CG=GF=CF=and, KOPS is a square inside this triangle with one side on CF and its two vertices on CG and GF
shepuryov [24]

Answer:

  AKPOS/ACGF = 28√3 -48 ≈ 0.497423

Step-by-step explanation:

Let's assume the square is a unit square. Then the height of the triangle is ...

  1 +(√3)/2 = h

and half the base of the triangle is ...

  h/√3 = (√3)/3 +1/2 = b/2

The area of the triangle is the product of these:

  A = (1/2)bh

  = (2 +√3)/2 × (3 +2√3)/6

  = (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12

So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...

  (square area)/(triangle area) = 12/(12+7√3)

  (square area)/(triangle area) = 28√3 -48

8 0
3 years ago
3(-4x + 5) = 12
8_murik_8 [283]

Answer:

x=1/4

Step-by-step explanation:

7 0
3 years ago
4.6 x 10 to the 6 power minus 8.3 x 10 to the 5th power
snow_tiger [21]
The answer is 3,770,000
4 0
2 years ago
Use the given graph to determine the limit, if it exists. (4 points)
skelet666 [1.2K]
<h3>Answer:  3</h3>

Explanation:

Refer to the graph below. It should be similar to what your teacher gave you, based off the description.

Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.

As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.

In terms of notation, we can write \displaystyle \lim_{x\to3^{+}}f(x) = 3

The portion x \to 3^{+} means we're approaching 3 from the positive side, aka the right hand side on the number line.

8 0
2 years ago
Anyone know the answer to this geometry question?
babymother [125]
I do not answer I mean College and I passed it
3 0
3 years ago
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