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Zielflug [23.3K]
3 years ago
15

Solve the inequality below for x. -3.2(2x-1) less than or equal to 17.6

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

- 3.2(2x - 1) \leqslant 17.6 \\  - 6.4x + 3.2 \leqslant 17.6 \\  - 6.4x \leqslant 14.4 \\ x \geqslant 2.25
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-2/3 + 5/6 = __________
d1i1m1o1n [39]

Answer:

0.16 recurring

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6 0
3 years ago
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Find the maximum area of a trapezoid inscribed in a semicircle
umka2103 [35]
Without loss of generality, we can assume the semicircle has a radius of 1 and is described by
  y = √(1 - x²)
Then the shorter base has length 2x and the longer base has length 2. The area of the trapezoid is
  A = (1/2)(2x+2)√(1-x²) = (1+x)√(1-x²)

Differentiating with respect to x, we have
  A' = √(1-x²) + (1+x)(-2x)/(2√(1-x²)
Setting this to zero, we get
  0 = (1-x²) +(1+x)(-x)
  0 = 2x² +x -1
  (2x-1)(x+1) = 0
  x = {-1, 1/2} . . . . . -1 is an extraneous solution that gives minimum area

So, for x = 1/2, the area is
  A = (1 + 1/2)√(1 - (1/2)² = (3/2)√(3/4)
  A = (3/4)√3

Of course, if the radius of the semicircle is "r", the maximum area is
  A = (r²·3·√3)/4

4 0
3 years ago
PLEASE HELP I WILL GIVE 50 POINTS
vodka [1.7K]
32 + 72 = 104
4 + 9 = 13 
104 / 13 = 8
your answer would be 8
7 0
3 years ago
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Find −315÷134. Write your answer as a mixed number in simplest form.
kipiarov [429]

Answer:

-2\frac{47}{134}

Step-by-step explanation:

-2\frac{47}{134} = -\frac{315}{134}

134can go into -315twice at the most, so doubling 134will give us 268, which leaves us with 47left over to reach 315, which is why 47is the numerator. The remainder is ALWAYS the numerator.

I am joyous to assist you anytime.

3 0
3 years ago
I’m not sure how to slove this problem it’s a equilateral triangle and I’m trying to find out what the side is equal to.
Lerok [7]

Answer:

AB = 5/4 y - 1  = 5/4 (12/13) -1 = 2/13

AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13

Step-by-step explanation:

Because it is a equilateral triangle, it means all sides have the same length.

AB = AC

5/4 y - 1 = 7/3 y - 2

5/4 y - 7/3 y = -2 +1

-13/12 y = -1

y = 12/13

input y to the equation.

AB = 5/4 y - 1  = 5/4 (12/13) -1 = 2/13

AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13

Please check my other articles in my site, just copy and paste this word to google search engine: learningandassignments diy4pro.

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3 years ago
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