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
2/5 lbs walnuts > 1/3 lbs almonds
Hope this helped ;)
A= 3
b= 4
=3.14(a^2 + ab)
substitute the given a & b values in expression
=3.14((3)^2 + (3*4))
multiply inside parentheses
=3.14(9 + 12)
add inside parentheses
=3.14(21)
multiply
=65.94
ANSWER: 65.94
Hope this helps! :)
For this case we have the following functions:
We must find 
. By definition we have to:
So:
Finally, the composite function is:
Answer:
Answer:
0.25x + y = 12
Step-by-step explanation:
Given
Kiran is spending $12 on games
it means that he can spend total of $12 on rides and games
number of games is represented by x
cost of 1 game = $0.25
cost of x games = $0.25*x = $0.25x
number of rides is represented by y
cost of 1 rides = $1
cost of x rides = $1*y = $y
Total cost for x games and y rides =cost of x games + cost of y rides
Total cost for x games and y rides = $0.25x + $y
given that Kiran is spending $12 on games
Total cost for x games and y rides will be $12
thus,
$12 = $0.25x + $y
removing dollar sign for equation formation
0.25x + y = 12
given above is the equation to represent the relationship between the dollar
amount Kiran is spending and the number of games, x, and the number of
rides, y.
