A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

The unit price are:

$0.285 for the 10.5 ounce package

$0.272 for the 29.3 ounce package.

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Step-by-step explanation:

From the question:

A 10.5-ounce package costs $2.99.

The unit price = 1 ounce.

10.5 ounce = $2.99

1 ounce = x

10.5 ounce × x = 1 ounce × $2.99

x = 1 ounce × $2.99/10.5 ounce

x = $0.2847619048

The unit price = $0.2847619048

Approximately = $0.285

A 29.3-ounce package costs $7.98.

The unit price = 1 ounce.

29.3 ounce = $7.98

1 ounce = x

29.3 ounce × x = 1 ounce × $7.98

x = 1 ounce × $7.98/29.3 ounce

x = $0.2723549488

The unit price = $0.2723549488

Approximately = $0.272

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2