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Vanyuwa [196]
3 years ago
7

Which ratios approximate pi ​(​)?

Mathematics
1 answer:
kramer3 years ago
5 0

9514 1404 393

Answer:

  A: 66/21

  E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

  A: 66/21 = 22/7 = 3 1/7

  B: 60/20 = 3

  C: 21/7 = 3

  D: 45/15 = 3

  E: 22/7 = 3 1/7

___

<em>Comment on pi approximations</em>

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

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Limit as x approaches infinity: 2x/(3x²+5)
Nonamiya [84]
\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\implies \cfrac{\lim\limits_{x\to \infty}~2x}{\lim\limits_{x\to \infty}~3x^2+5}

now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.

BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.

as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.

now, we could just use L'Hopital rule to check on that.

\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}~\cfrac{2}{6x}

notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
5 0
3 years ago
How would I set up question one?
Darina [25.2K]

A straight line is 180 degrees:

25x + 8 + 9x + 2 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34:

X = 5

Now solve the smaller angle:

9x + 2 = 9(5) + 2 = 45 + 2 = 47

They angle with the y is a vertical angle to 47 so needs to also equal 47:

7y + 5 = 47

Subtract 5 from both sides:

7y = 42

Divide both sides by 7:

Y = 6

Answer: x = 5, y = 6

8 0
2 years ago
nika is making cakes for a bake sale at school when she realizes she is running out of milk, each cake requires 1/4 cups of milk
Reil [10]

Answer:

Nika can make 15 cups of milk.

Step-by-step explanation:

To find how many cups she can make, we divide 3 3/4 by 1/4. First, we convert 3 3/4 to an improper fraction.

3 ¾ / ¼           Equation

15/4 /  ¼         Convert to improper

15/4 * 4/1        Reverse sign & second fraction

= 60/4

= 15

Also, 15 * 1/4 = 3  ¾, so its correct!

3 0
2 years ago
The width of the figure below is 5 units. The perimeter of the figure is 18 units. What is the length of the figure in units?
marishachu [46]

if the figures perimeter is 18 units, and the width of the figure is 5 units. I am guessing the figure is a rectangle


where the width is 5 units, and 2 of the sides have 2 be the same 2 be a rectangle, than the width on each side is 10 units all together


18-10= 8


if the figure is a rectangle then that means there are 2 sides left of equal length so if we divide our current number (8) by 2 then we will have the length of each side (4)


8 divided by 2= 4


width= 5

length= 4

3 0
3 years ago
Which shape is always a parallelogram
lesya692 [45]

Answer:

A Square, Rectangle, and a Rhombus

Step-by-step explanation:

I think that is all of them.

3 0
2 years ago
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