Answer:
Sean's rocket lands 3 seconds after Kiara's rocket.
Step-by-step explanation:
Kiara: f(t)= -16t² + 80t
Sean: h(t) = -16t² + 120t + 64
Assume that both rockets launch at the same time. We need to be suspicious of Sean's rocket launch. His equation for height has "+64" at the end, whereas Kiara's has no such term. The +64 is the starting height iof Sean's rocket. So Kiara has a 64 foot disadvantage from the start. But if it is a race to the ground, then the 64 feet may be a disadvantage. [Turn the rocket upside down, in that case. :) ]
We want the time, t, at which f(t) and h(t) are both equal to 0 (ground). So we can set both equation to 0 and calculate t:
Kiara: f(t)= -16t² + 80t
0 = -16t² + 80t
Use the quadratic equation or solve by factoring. I'll factor:
0 = -16t(t - 5)
T can either be 0 or 5
We'll choose 5. Kiara's rocket lands in 5 seconds.
Sean: h(t) = -16t² + 120t + 64
0= -16t² + 120t + 64
We can also factor this equation (or solve with the quadratic equation):
0 = -8(t-8)(2t+1)
T can be 8 or -(1/2) seconds. We'll use 8 seconds. Sean's rocket lands in 8 seconds.
Sean's rocket lands 3 seconds after Kiara's rocket.
Answer:
the first one
Step-by-step explanation:
the first one
Answer: Number 1 is 1/8
Number 2 is 11/5.
Number 3 is 1/15.
Number 4 is 1/16.
Step-by-step explanation: To get better at this use multiplication and division.
<span>Let the distance a string will stretch be l, and the weight attached to the string be w, then l = kw. 9 = 100k => k = 9/100. l = 9/100 w. Therefore, when a weight of 90 pounds is attached, l = 9 / 100 x 90 = 810 / 100 = 8.1 inches.Hope I helped! :) Cheers!I hope that I could help :) sometines those questions are tricky. Let me know if you need additional help</span>
. Thus, 6 is a congruent number. The area of a triangle with sides that are any set of the Pythagorean Triples will be a congruent number. I have attached a more precise definition for you from a math blog at UConn (don't let the technical definition confuse you!).
