Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.
Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
Answer:
x = 52, y = 26
Step-by-step explanation:
x - 2y = 0
40 - y = 14
(40 - 40) - y = 14 - 40
- y = -26
y = 26
x - 2(26) = 0
x - 52 = 0
x (- 52 + 52) = 0 + 52
x = 52
The two sizes chosen for this item are a quart and one gallon.
The first one is advantageous because when it is desired that this be brought some place, it will not be very bulky and not heavy because among the given, this is the smallest. Also, one gallon can be chosen because it does serve many people at a relatively lower price than the other given.
Answer: 2 Answers By Expert Tutors
The rule for division by a fraction is "change to multiplication by the reciprocal." So you want(4/3)(12) which is 4(4) = 16
Step-by-step explanation: