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Y_Kistochka [10]
3 years ago
6

A Koch snowflake begins with an equilateral triangle with side length of 1 (stage 0). Trisect each side and attach a smaller equ

ilateral triangle to the center of each side (stage 1). Repeat for each triangle to obtain stage 2. Find the perimeter of the stage 2 snowflake.
Mathematics
1 answer:
nata0808 [166]3 years ago
7 0
Each triangle will have a side length of 1/3.
Since you do this for the 3 sides, each equilateral triangle has a perimeter of 1, so the 3 triangles will have a total perimeter of the stage 2 snowflake = 3
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Answer:

The length as seen through her binoculars is of 5.2 inches.

Step-by-step explanation:

The length of an ant is 0.52 inches, what is its length as seen through her binoculars?

The binocular is set to enlarge the object 10 times their actual size.

We have that the actual length is 0.52 inches.

0.52*10 = 5.2 inches

The length as seen through her binoculars is of 5.2 inches.

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Step-by-step explanation:

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mel-nik [20]

Answer:

0.018 is the required probability.              

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 60,000 miles

Standard Deviation, σ = 1500 miles

We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(brand will last between 56,850 miles and 57,300 miles)

P(56850 \leq x \leq 57300) = P(\displaystyle\frac{56850 - 60000}{1500} \leq z \leq \displaystyle\frac{57300-60000}{1500}) = P(-2.1 \leq z \leq -1.8)\\\\= P(z \leq -1.8) - P(z < -2.1)\\= 0.0359 - 0.0179 = 0.018= 1.8\%

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3 years ago
Cedric completed the square for the quadratic expression 5x^2−40x+15 in order to determine the minimum value of the expression,
Olegator [25]

Answer:

Step 3 is not correct (should be (x-4)^2, not (x+4)^2

Step-by-step explanation:

The expression that we have to simplify is:

5x^2-40x+15

We proceed step-by-step, in order to find the mistake did by Cedric:

1) First, we factorize the 5 outside:

5(\frac{5x^2}{5}-\frac{40x}{5}+\frac{15}{5})=5(x^2-40x+3) --> this step is correct

2) We add +16 and -16 inside the brackets:

5(x^2-8x+16-16+3) --> this step is correct

3) We rewrite the term (x^2-8x+16) as the square of a bynomial, which is (x-4)^2, so the expression becomes

5((x-4)^2-16+3) --> we notice that this step is wrong: in fact, Cedric wrote (x+4)^2, which is not correct.

4) Now we continue: we rewrite -16+3 as -13,

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5) Finally, we multiply the 5 by the terms in the bracket:

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