Find the area of the shape shown below

How can you write the expression with a rationalized denominator? square root of three minus six over square root of three plus

kirill [66]

Answer:

$- (\frac{15 - 4\sqrt{3} }{11} )$

Step-by-step explanation:

$\frac{\sqrt{3}-6}{\sqrt{3} +6} = \frac{(\sqrt{3}-6)(\sqrt{3}-6)}{(\sqrt{3} +6)(\sqrt{3} -6)}$

$= \frac{(\sqrt{3})^2 - (2\times6\times\sqrt{3}) +6^{2} }{(\sqrt{3})^2 - 6^{2}} = \frac{9 - 12\sqrt{3} + 36}{3 - 36}$

$\frac{45 -12\sqrt{3} }{-33} =- (\frac{15 - 4\sqrt{3} }{11} )$

6 0

3 years ago

You are playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $30. If it i

Firlakuza [10]

92 cardsㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

8 0

3 years ago

Find the unit rate. round to the nearest hundred if necessary

Lina20 [59]

360÷60=60 60 miles per hour 6840÷45=152 152 costumes per day 45.5÷13=3.5 rounded to nearest hundred= 4 4 meters per second $7.40<span>÷5=$1.48 rounded to nearest hundred = 1 $1 per pound</span>

3 0

3 years ago

Which expressions are equal to 105?

Tamiku [17]

Answer:

103 and 102

Step-by-step explanation:

u add them together

6 0

3 years ago

Can someone help me PLEAS

slavikrds [6]

Answer:

D

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic

6 0

2 years ago