Answer:
x=9.768
y=6.972
Step-by-step explanation:
For this problem we have to use the trig relationships of cos and sin to figure out the lengths. Cos is equal to adjacent/hypotenuse so we can set it as x/r=.814 and since r is equal to 12 we can do 12 times .814 to get x.
We do a similar process for sin but sin is equal to opposite/hypotenuse so we can set up the equation y/r=.581 and we simply multiply both sides by 12 to get 12*.581 to get y.
Also for future reference adjacent and hypotenuse are based on the angle at use, since ∅ is on the bottom left x is the adjacent side and y is the opposite side.
Answer:
Jacob served 16 quarts of juice.
Step-by-step explanation:
Answer:
height equals 5 inches
Step-by-step explanation:
base = 6
area = 15
area = 1/2(6)h
15= 3h
5=h
Answer:
x = 118
Step-by-step explanation:
Answer:
the probability is 0.125
Step-by-step explanation:
The number of ways in which the mouse can move in the 4 turns is calculated using the rule of multiplication as:
<u> 2 </u>* <u> 2 </u> * <u> 2 </u>* <u> 2 </u> = 16
1st turn 2nd turn 3rd turn 4th turn
Because the mouse can take two options at every turn, right or left.
Now, from the 16 possibilities of movements, a mouse will find an exit in just two options:
1. right-right-left-left
2. left-right-right-left
So, the probability that a mouse will find an exit is:

Because, there are 16 possibilities and a mouse will find an exit using 2 of them.