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3 years ago

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What is 11 9/18 as a mixed number in simplest form

1 answer:

mamaluj [8]3 years ago

8 0

If the answer is still supposed to be as a mixed number than the answer is 11 1/2. But is it is supposed to be an improper fraction, than it is 23/2.
Hope that helped!

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Alenkasestr [34]

Answer:

$PX=4\\PY=4\sqrt{3}$

Step-by-step explanation:

Let $\angle PYZ=Q$

$\Rightarrow \angle XYP=90-\angle PYZ\\\angle XYP=90-\theta$

In the $\Delta PYZ$

$\tan\theta =\frac{opposite}{adjacent}=\frac{PZ}{PY}......(1)$

In the $\Delta YPX$

$\tan(90-\theta)=\frac{opposite}{adjacent}=\frac{PX}{PY}$

$\cot=\frac{PX}{PY}....(2)$

eqn(1) $\times$ eqn(2)

$\tan\times\cot\theta=\frac{PZ}{PY}\times\frac{PX}{PY}\\\\1=\frac{PZ\times PX}{PY^2}\ \ (as\ tan\theta\ =\frac{1}{\cot\theta})\\\\PY^2=PZ\times PX\\PY^2=12PX.......(3)$

Now in $\Delta XYP$

use Pythagorean theorem

$XY^2=PY^2+PX^2\\8^2=PY^2+PX^2\ \ (as\ XY\ =8)\\PX^2+PY^2=64\\\\PY^2=12PX\ \ (eqn(3)\\\\\Rightarrow PX^2+12PX=64\\\\PX^2+12PX-64=0\\\\PX^2+16-4PX-64=0\\\\(PX+16)(PX-4)=0\\\\PX=4,\ -16$

Length can not be negative

Hence $PX=4$

$PY^2=12PX=12\times4=48\\\\PY=\sqrt{48}=4\sqrt{3}$

Hence $PX=4,\ PY=4\sqrt{3}$

8 0

2 years ago

denpristay [2]

Answer:

The slope is 9, and the y-intercept is -2.

Step-by-step explanation:

the slope-intercept form is y=mx+b

The slope is m and the y-intercept is -2

So the slope is 9, and the y-intercept is -2.

y=9x-2

Hope this helps!

8 0

2 years ago

Read 2 more answers

2. You and six friends order three large pizzas for a pizza party. Each large pizza had twelve pieces. There

Veronika [31]

Answer:

5

Step-by-step explanation:

12+12+12= 36

36-7= 29

3+3+3=9

29-9=20

20÷4=5

7 0

2 years ago

Andrew bought 7 bundles of drawing sheets that each cost the same amount of money. The tax on his purchase was $1. He spent a to

Annette [7]

Solve the equation 7x-1=15 where x is the cost of each bundle of drawing sheets.

15-1=14
14/7=2
Each bundle cost $2

6 0

2 years ago

Courtney is a retail store manager and will make $40000 this year. She expects to pay 28% of her income in tax, how much money w

AlexFokin [52]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Find the multiplier:

28/100 = 0.28

1 - 0.28 = 0.72

Multiply the total amount by this multiplier:

40,000 x 0.72 = 28,800

She will make $28,800

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0

2 years ago

Read 2 more answers