<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>
5.
6 / t = 9 / (t+2)
9t = 6t + 12
3t = 12
t = 4 answer
The remaining length:-
6 / 4 = 11 / x
6x = 44 so x = 7.33 answer
6. 8 / w = 6 / (w - 5)
6w = 8w - 40
2w = 40 so w = 20 answer
The side marked w - 5 = 20-5 = 15 answer
8/14 = 20/x giving the top side = 35 answer
Answer:
1/4, 2/8, 4/16, 8/32, 16/64
Step-by-step explanation:
Answer:
24 balms
Step-by-step explanation:
2 hours is 120 minutes
120 minutes / (5 minutes/balm) = 24 balms
