Answer:
Step-by-step explanation:
12a)To rationalize the denominator, multiply the denominator and numerator by √5.

b) (a+b)² = a² + 2ab + b²
(1 +√3)² = 1² + 2*1*√3 + (√3)²
= 1 + 2√3 + 3
= 4 + 2√3
a = 4 ; b =2
13) (a + b)(a - b) = a² - b²

Answer:
in. by 10 in.
Step-by-step explanation:
2 ft by 3 ft, inches is:
2 * 12 = 24 inch
3 * 12 = 36 inch
24 * 36
Thus, to make 36 into 10, we divide 36 by 3.6 to get 10:
36/3.6 = 10
To keep ratio equal, we need to divide 24 by 3.6 to get:
24/3.6 = 
Thus, Third answer choice is right.
Answer:
72 gallons
Step-by-step explanation:
we know that
19 units represent 228 gallons
so
using proportion
Find out how many gallons represent 6 units
Let
x ---> the number of gallons for 6 units

Answer:
30.25 in decimal form
30 1/4 in fraction form
Step-by-step explanation:
12(3) − 3(1/3) / 4(3)− (5) = 30.25 or 30 1/4
The two rectangles are similar and the scale factor is 3:4