Answer: y=5x-5
Step-by-step explanation:
So the plane of Olivia travels from west to east with an elevation of 6.3 km. To summarize everything and to get the speed of the plane, I used the Angle Side Angle Triangle Theorem and also the law of sine and the formula would be the following:
First is to get the distance traveled by the plane within the range of 3 minutes. To get that distance you must get the following variable.
total distance = distance travel from west to Todds position + distance traveled from Todds position to the reach of the elevation
Dt = D1 + D2
first is getting the D1
D1 = sin41 (6.3) / sin 49
(by following the law of sine and the angles is based on the triangle)
D1 = 5.477 km
then get D2,
D2 = 6.3 sin 65 / sin 25
D2 = 13.510
After that get the total distance
Dt = D1 + D2
Dt = 18.987 km
To get the speed of the plane, you must divide the distance to the time (in minutes) then multiply it by 60 to make it as an hour.
Speed = 18.987 /3 * 60 = 379.74 km/hr
Answer: 900 inch
There is 3 ribbon in this question, Red ribbon(R), green ribbon(G) and purple ribbon(P). The relation would be
1. R= 9 inch
2. R= 1/10 G
3. P= 10 G
If you insert equation 1 into 2 then you will get:
9inch= 1/10G
G= 90 inch
After that insert the new equation into equation 3:
P= 10x 90 inch
P= 900inch
The probability of matching the first one correctly is 1/3 .
Then there are only two baby-pix left, so ...
The probability of matching the second one correctly is 1/2 .
Then there's only one baby-pic left, so ...
The probability of matching the third one correctly is 1 .
So the probability of matching all three correctly is
(1/3) x (1/2) x (1) = 1/6 = (16 and 2/3) percent .
Bus 1 : 194 miles / 4 hours = 48.5 miles / hour.
Bus 2: 245 miles / 5 hours = 49 miles / hour.
Bus 2 is faster.