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3 years ago

5

Please show your work.

1 answer:

saul85 [17]3 years ago

8 0

x=6.928 if rounded to the nearest thousandth

I posted a picture of my work to find this answer

Hope this Helped

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What are the characteristics of a polygon

mel-nik [20]

Answer:

A regular polygon has equal length sides with equal angles between each side. Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides. Circles and shapes that include curves are not polygons - a polygon, by definition, is made up of straight lines.

Step-by-step explanation:

8 0

4 years ago

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points)A password must consist of 16 characters. Each character can be a digit (0-9), an uppercase or lowercase letter (A-Z, a-z

artcher [175]

Answer:

72¹⁶ possible passwords

10¹⁰ years

Step-by-step explanation:

For each of the 16 characters, the number of possible outcomes is 10 numbers, 52 letters, or 10 special characters, totaling 72 possible values. The number of total different 16 characters passwords is:

$n = 72^{16}$

If you can test 1 trillion passwords per second, the number of passwords per year is:

$P = 10^{12} * 3,600*24*365\\P=3.1536*10^{19}$

The time in years that would take to test all passwords is:

$T=\frac{72^{16}}{3.1536*10^{19}}\\T = 1.65*10^{10}\ years$

Rounding to the nearest power of 10, it would take 10¹⁰ years

8 0

4 years ago

Given: circle k(O), m LM = 164°, m WK = 68°, m∠MLK = 65°. Find: m∠LMW

Musya8 [376]

Answer:

The measure of angle LMW is $m\angle LMW=67\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc MW

we know that

The inscribed angle measures half that of the arc comprising

so

$m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK]$

substitute the given values

$65\°=\frac{1}{2}[arc\ MW+68\°]$

$130\°=[arc\ MW+68\°]$

$arc\ MW=130\°-68\°=62\°$

step 2

Find the measure of arc LK

we know that

$arc\ LM+arc\ MW+arc\ WK+arc\ LK=360\°$ -----> by complete circle

substitute the given values

$164\°+62\°+68\°+arc\ LK=360\°$

$294\°+arc\ LK=360\°$

$arc\ LK=360\°-294\°=66\°$

step 3

Find the measure of angle LMW

we know that

The inscribed angle measures half that of the arc comprising

so

$m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK]$

substitute the given values

$m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°$

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3 years ago

When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard devia

iragen [17]

Answer:

0.749

Step-by-step explanation:

We start by calculating the z-score

Mathematically:

z-score = (x-mean)/SD

z-score = (75-77)/3 = -2/3 = -0.67

The probability we want to calculate is;

P( X > -0.67)

we can use the standard normal distribution table for this

Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth

4 0

3 years ago

Simplify the expression 2x+(x)(3+x). Write products as powers when possible.

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

2x+(x)(3+x) multiple or foil the ()

2x+3x+x^2 combine like terms

5x+x^2 or x^2+5x

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3 years ago

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