(3) 8
Step-by-step explanation:
Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.
BC/AB = DE/AD
BC/10 = 12/(10 + 5) = 12/15 = 4/5
or
BC = 10(4/5) = 8
The thousandth's decimal mark is the third number behind the decimal point which in this case it would be 9. To round to the nearest thousandths you need to look at the number behind 9 which is 1. 1 is less than 5 so you wouldn't round to 10. The answer is .009!
This is a translation and it is most easily done with the vertex from of the equation. change vertex to (-1,6): y=a(x+1)+6
So... 2n>30 and 5n<100. So if you divide out 2 and 5, you get n>15 and n<20. Therefore 15<n<20
Answer:
h(3) = 207 feet
Step-by-step explanation:
what is the maximum height for -16t^2+96t+63
h(t) = -16t^2+96t+63
We see max height at the vertex of this parabolic function
x = -96/2*(-16) = 3 seconds
h(3) = -16*3*3 + 96*3 + 63
h(3) = -144 + 288 + 63
h(3) = 207 feet
