A balloon filled with helium is being releases from the ground and is flying 17 points upward at a rate of 20 feet per second. An archer is challenged to shoot an arrow at the ballon and pop it. If the archer fires the arrow at an initial vertical velocity of 48 feet per second from an initial height of 6 feet, it is modeled by the equation h(t)=-16t^2-48t+6. At what time(s) could the arrow pop the ballon? Round to the nearest hundredth: > X = 20 x = 1.94 x = 3.67

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

(x+3)(x+7)

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer: it's d

step-by-step explanation: