Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
The positions of the letters must correspond. Appropriate choices are ...
∠M ≅ ∠Q
QK ≅ MJ
MN ≅ QR
Answer:
36 cm2
Step-by-step explanation:
tep-by-Step:
Start with the formula:
Area = a2
Don't forget: a2 = a × a (a squared).
Substitute the side length into the formula. In our example, a = 6.
Area = 6^2 = 6 × 6 = 36 cm2
Answer:
The area of the square with sides of length 6 cm is 36 cm2.
To find the answer,we need to first find out their hours spent individually.
Rishi spent:
=2×3/4
=6/4hours
Kyle spent
=6×1/4
=6/4hours
As they both spent 6/4 hours,they spent equal time.
Hope it helps!
there are 4 eggs total 3 plain and 1 gold
so you have a 1/4 probability of picking the gold egg
