Answer:30km/hr
Step-by-step explanation:
Total distance=294km
Speed=s
Distance=d
Time=t
First drive:
t=5
d=s x t
d=s x 5
d=5s
Second drive:
t=4
Speed is 6km/h greater than the first speed
The new speed= s+6
d=4(s+6)
Total distance=294
5s + 4(s + 6)=294
5s + 4s + 24=294
Collect like terms
5s + 4s=294 - 24
9s=270
Divide both sides by 9
9s/9=270/9
s=30
First speed=30km/hr
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The shaded area is 299.59un^2.
Answer:
100feet
Step-by-step explanation:
Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;
v(t) = dh/dt = -32t + 80
0 = -32t + 80
32t = 80
t = 80/32
t = 2.5secs
Substitute t = 2.5 into the height formula h = -16t^2 + 80t
h = -16(2.5)^2 + 80(2.5)
h = -100+200
h = 100feet
Hence the maximum height the dolphin jumps is 100feet