Find the missing lengths of the sides.

b = 8√3 and c = 16

Step-by-step explanation:

Points to remember

If the angles of a right angled triangle with angles are 30°, 60, and 90 the their sides are in the ratio 1 : √3 : 2

To find the unknown side lengths

From the given figure we can see a right angled triangle

Angles are 30°, 60° and 90°

sides are in the ratio 1 : √3 : 2

1 : √3 : 2 = 8 : b : c

b = 8√3 and c = 8 * 2 = 16

Therefore b = 8√3 and c = 16

0.43.

Step-by-step explanation:

The probability that the customer will pay with debit card = 50%

The percentage of customers who use coupons 30% and  35% pay with debit card.

Now calculate the probability  that the same person will use coupon:

P[Uses coupons | Pays with Debit card] = P[Uses coupons and pays with debit card] / P[ Pays with debit card]

= 0.3 * 0.5 / 0.35

= 3/7  or  0.4286 or 42.86%