Step-by-step explanation:
initial speed = 272 ft/s
h = -16t² + 272t
a. 1120 = -16t² + 272t we change a bit into
16t² - 272t + 1120 = 0 then divide all with factor 16
t² - 17t + 70 = 0
(t - 10)(t - 7) = 0
t = 10 and t = 7
7 s when it goes up and 10 sec when the rocket goes down.
b. 1152 = -16t² + 272t we change a bit into
16t² - 272t + 1152 = 0 then divide all with factor 16
t² - 17t + 72 = 0
(t - 9)(t - 8) = 0
t = 9 and t = 8 sec
c. since the answer of a and b is:
7 sec and 8 sec the rocket goes up but at 9 sec and 10 sec the rocket goes down then we can take conclusion that the maximum height is reached at 8.5 s
so how long the rocket in the air?
goes up : 8.5 sec
goes down : 8.5 sec
total = 17 sec
Answer:
21.6 degrees
Step-by-step explanation:
the sum of angles in a triangle is 180 degrees
71 + x + (4x-11) = 180
open the brackets
71 + x +4x - 1 = 180
71 + 1 + x + 4x =180
72 + 5x =180
5x = 180 -72
5x = 108
x = 108/5 = 21.6
Answer:
see below
Step-by-step explanation:
Cedarville
Year 1
1200 * 8% = 96 people
At the end the population is 1296
Year 2
1296 * 7% =90.72
1296+90.72 =1386.72 people
Pinedale
1200*15%=180
1200+180 = 1380
Cedarville has more people at the end of 2 years by 6.72 people
Answer:2460
Step-by-step explanation:
Answer:5/12 (Decimal: 0.416667)
Step-by-step explanation: