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2 years ago

What does the graph of lnx look like?

Mathematics

1 answer:

qwelly [4]2 years ago

7 0

This is what the graph of in(x) looks like

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Jane cycled 32km, correct to the nearest km.

o-na [289]

Answer:

31.5

and

32,4

Step-by-step explanation:

4 0

2 years ago

Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

$A = \frac{18}{\sqrt{3}} * 36$

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

8 0

2 years ago

The headless horseman rode 4/1-2 miles from the old Dutch burying ground to the haunted woods he then traveled 9/3-4 miles from

enyata [817]

Answer:

26 1/4 miles

Step-by-step explanation:

9+4+12=25

1/2+3/4=1 1/4

25+1 1/4= 26 1/4

7 0

2 years ago

Analyze the diagram below and complete the instructions that follow. <br> Find sin 60 degree

MaRussiya [10]

Answer:

sin 60° = 0.9

Step-by-step explanation:

sin 60° = cos 30°

cos 30° = 0.866025403

0.866025403 to one significant figure

0.866025403 ~ 0.9

~. means approximately.

therefore sin 60° = cos 30°

sin 60° = 0.9

4 0

2 years ago

X-5y=33<br> 5x-6y=70<br> solve the system by the addition method

BARSIC [14]

For this case we have the following system of equations:

$x-5y = 33\\5x-6y = 70$

We multiply the first equation by -5:

$-5x + 25y = -165$

Thus, we have the equivalent system:

$-5x + 25y = -165\\5x-6y = 70$

We add the equations:

$-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5$

We find the value of the variable "x":

$x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8$

Thus, the solution of the system is:

$(x, y) :( 8, -5)$

Answer:

$(x, y) :( 8, -5)$

7 0

3 years ago