Aclown bought 6 bags of round balloons with 24 balloons in each bag. the clown also bought 3 bags of long balloons with 36 balloons in each bag. the clown also bought 5 bags of heart-shaped balloons with 14 balloons in each bag. when the clown blew up all of the round, long, and heart-shaped balloons, 23 balloons burst. how many blow-up balloons were left? explain your answer.

: 299 blown-up balloons

Step-by-step explanation first I found

the number of heart-shaped balloons, 5 × 14 = 70. Next,

I added that number to the number of round balloons

and long balloons, 70 + 144 + 108 = 322 balloons

in all. Last, I subtracted the number of burst balloons,

so 322 – 23 = 299 balloons left.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet