Do do this problem, you need to use the Law of Cosines!
You are trying to find length b, so
b^2 = a^2 + c^2 - 2ab cos B
b^2 = 22^2 + 28^2 - 2(22)(28) cos 34
b^2 = 484 + 784 - 1232 cos 34
b^2 = 1268 - 1232 cos 34
b^2 = 246.6257
b = 15.7 yards
Hope this helps!
Answer:
On the highway, the cost to drive per mile is $2.21
Step-by-step explanation:
In the city the average distance per gallon is 15 miles
On the highway, he can drive 47% farther;
The distance he can cover on the highway per gallon will be;
15 + 47% of 15
= 15 + 0.47(15)
= 15 + 7.05 = 22.05
So on the highway, he can travel a distance of 22.05 miles
So the cost per mile on the highway would be;
$3.25 for 15 miles
$x for 22.05 miles
so we have the cost to drive per mile on the highway as;
(3.25 * 15)/22.05 = $2.21
Divide 40 by 8 minutes to find the quantity per minute for one machine:
40 / 8 = 5 per minute.
One machine does 5 envelopes per minute.
Now divide 120 by 5 to find the number of machines needed:
120 / 5 = 24
24 machines would be needed.
Let z=x+iy be a complex number. The distance from this complex number to the origin is
Consider all options:
A. z=2+15i, then 
B. z=17+i, then 
C. z=20-3i, then 
D. z=4-i, then 
Answer: correct choice is D.
Answer:
blowing by wind , carried by rain and by animal
