Find the ratio :
1/2 hour to 45 minutes

The answer is 2 : 3.

Step-by-step explanation:

First, you have to convert the units to minutes :

1 hr = 60 min

1/2 hr = 60 × 1/2 = 30 min

Then, you have to simplify the ratio to simplest form :

30 : 45

= (30÷15) : (45÷15)

= 2 : 3

To see the ratio, we should have both in the same unit. We can pass 1/2 hour to minutes, as we know one hour are 60 minutes:

60/2 = 30

So we know half hour are 30 minutes.

Now, we know the ratio 30:45, but we can simplify it, as a fraction.

To simplify it, we will divide both numbers by the same quantity, in this case, divide 30 and 45 by 15 (a it's a divisor):

30/15 = 2 and 45/15 = 3, so the ratio is 30:45, which is equivalent to 2:3

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11