<img src="https://tex.z-dn.net/?f=2%20%5Csqrt%7B3%7D%20" id="TexFormula1" title="2 \sqrt{3} " alt="2 \sqrt{3} " align="absmiddle

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stealth61 [152]

3 years ago

" class="latex-formula">

Mathematics

2 answers:

kodGreya [7K]3 years ago

6 0

The answer is 3.46 (rounded)

maw [93]3 years ago

3 0

Simplified it is radical 1 and inside the radical sign is 3

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How does 2π/4 simplify to π/4?

lana [24]

It doesn't
remember that
(x/g) times (y/z)=(x time y)/(g times z) so
2pi/4=(2 times pi)/(4 times 1) so
2pi/4=2/4 times pi/1=1/2 times pi/1=pi/2

5 0

2 years ago

Given f(x)=2x-10 determine the value if f(x)=8

koban [17]

Answer:

f(x)=2x-10 ______(given)

f(x)=8 _______(given)

Therefore, according to the above problem

2x-10=8

2x=10+8

2x=18

x=18/2

<h3><u>9</u> is the right answer.</h3>

6 0

2 years ago

Read 2 more answers

Prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.

sergiy2304 [10]

Answer:

See explanation

Step-by-step explanation:

a) To prove that DEFG is a rhombus, it is sufficient to prove that:

All the sides of the rhombus are congruent: $|DG|\cong |GF| \cong |EF| \cong |DE|$
The diagonals are perpendicular

Using the distance formula; $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$|DG|=\sqrt{(0-(-a-b))^2+(0-c)^2}$

$\implies |DG|=\sqrt{a^2+b^2+c^2+2ab}$

$|GF|=\sqrt{((a+b)-0)^2+(c-0)^2}$

$\implies |GF|=\sqrt{a^2+b^2+c^2+2ab}$

$|EF|=\sqrt{((a+b)-0)^2+(c-2c)^2}$

$\implies |EF|=\sqrt{a^2+b^2+c^2+2ab}$

$|DE|=\sqrt{(0-(-a-b))^2+(2c-c)^2}$

$\implies |DE|=\sqrt{a^2+b^2+c^2+2ab}$

Using the slope formula; $m=\frac{y_2-y_1}{x_2-x_1}$

The slope of EG is $m_{EG}=\frac{2c-0}{0-0}$

$\implies m_{EG}=\frac{2c}{0}$

The slope of EG is undefined hence it is a vertical line.

The slope of DF is $m_{DF}=\frac{c-c}{a+b-(-a-b)}$

$\implies m_{DF}=\frac{0}{2a+2b)}=0$

The slope of DF is zero, hence it is a horizontal line.

A horizontal line meets a vertical line at 90 degrees.

Conclusion:

Since $|DG|\cong |GF| \cong |EF| \cong |DE|$ and $DF \perp FG$ , DEFG is a rhombus

b) Using the slope formula:

The slope of DE is $m_{DE}=\frac{2c-c}{0-(-a-b)}$

$m_{DE}=\frac{c}{a+b)}$

The slope of FG is $m_{FG}=\frac{c-0}{a+b-0}$

$\implies m_{FG}=\frac{c}{a+b}$

5 0

3 years ago

Jason is buying a home theater system on layaway for $349. If he makes a down payment of $25 and pays $54 each week will it take

Gekata [30.6K]

Hey!
First, you would take 349 and subtract 25 from it.(349-25=324) This gets rid of the down payment.
Next, you would divide 324 by 54. (324÷54=6)
It would take him 6 weeks!
Hope this helped! And make sure to check my calculations!
Godspeed
-Song

5 0

2 years ago

Find the measure of the indicated arc

dimaraw [331]

Answer:

arc of WXY= 224°

Step-by-step explanation:

measure of angle C is half of the WXY arc

this means WXY×1/2=C

112°=1/2 WXY (cross production)

WXY=2×112°

WXY=224 °

5 0

2 years ago