Taking the point directly under the center of the bridge as the origin,
x = 20t, y = 15t, z = 10
let s be thedistance between them at time t,
s^2 = (20t)^2 + (15t)^2 + 10^2 = 625t^2 + 100
2s ds/dt = 1250t
ds/dt = 625t/s
when t = 3, s = √(625*9+100) = 75.6637
ds/dt = 625*3/75.6637 = 24.78 m/s
Answer:
<em>171200 pennies</em>
Step-by-step explanation:
Amount after 2 years = Principal + Interest
Given
Principal = £1600
Rate = 3.5%
Time = 2years
Get the interest
Interest = PRT/100
Interest = 1600*3.5*2/100
Interest = 32 * 3.5
Interest = £112
Get the amount after 2 years;
Recall that:
Amount after 2 years = Principal + Interest
Amount after 2 years = 1600 + 112
Amount after 2 years = £1712
<em>Hence the amount Dan will have after 2 years is £1712</em>
<em>1712 pounds = (1712 * 100)penny</em>
<em>1712 pounds = 171200 pennies</em>
Answer:x=1.5
Step-by-step explanation:
Just needed to divide 1.2 and 1.8
Answer:
We take v in the vector space V different from 0. Since v is not 0, then
Lets take k>0 such that
Now, we take any vector w. We want to show that .
Since v is any non-zero vector, then this will prove that for any vectors a,b. The reason is that for any vector different from 0, lets name it x, there will exist a constant such that for any y (this is for the same reason a constant exists for v). Since y can be anything, then it can be v. But that means that , because v also has its constant k.
Now, lets show that . Lets take a constant c such that . We have that
Thus
Which means that
Which means that . As a consequence
Which proves what we were looking for.
Answer:
The answer is 290°
Step-by-step explanation: