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emmasim [6.3K]
3 years ago
13

WILL GIVE BRAINLIEST!!!

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

Answer:

A = 119 units²

Step-by-step explanation:

side of square is (12√2)sin45 = 12

The portion of the diagonal that is NOT octagon is

12√2 - 12

There are four corner triangles. The sum of their areas is

(12√2 - 12)²

Area of the octagon is area of the square minus four corner triangle areas.

A = 12² - (12√2 - 12)²

A = 119.2935...

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In a recent​ year, 304 of the approximately​ 300,000,000 people in the United States were struck by lightning. Estimate the prob
umka2103 [35]

Answer:

\frac{19}{18,750,000}=0.0000010133333333

Step-by-step explanation:

We have been given that in a recent​ year, 304 of the approximately​ 300,000,000 people in the United States were struck by lightning.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=\frac{304}{300,000,000}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=\frac{19}{18,750,000}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=0.0000010133333333

Therefore, the probability that a randomly selected person in the United States will be struck by lightning this year is \frac{19}{18,750,000}=0.0000010133333333.

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3 years ago
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What tests are used to determine the radius of convergence of a power series? A. Divergence TestB. Root Test C. Comparison Test
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Answer:

The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.

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3 years ago
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Answer:

-6 is less than -5

Step-by-step explanation:

any negative number is always lower than a positive number

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What is the area of the triangle?<br> 12<br> 8
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48

Step-by-step explanation:

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How does one find the inverse function of f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3x-1%7D" id="TexFormula1" tit
lisabon 2012 [21]

Answer:

\displaystyle f^{-1}(x)=\frac{1+x}{3x}

Step-by-step explanation:

<u>The Inverse of a Function</u>

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

\displaystyle y=\frac{1}{3x-1}

* Solve the equation for x.

Multiply by 3x-1

y(3x-1)=1

Divide by y:

\displaystyle 3x-1=\frac{1}{y}

Sum 1:

\displaystyle 3x=\frac{1}{y}+1

Operate the right side:

\displaystyle 3x=\frac{1+y}{y}

Divide by 3:

\displaystyle x=\frac{1+y}{3y}

* Swap the variables:

\displaystyle y=\frac{1+x}{3x}

Write back into function form:

\boxed{\displaystyle f^{-1}(x)=\frac{1+x}{3x}}

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