Answer:
(a) Arts take longer
(b) By 2/9 hours
Step-by-step explanation:
Given
Arts = four over nine hours
Maths = two over nine hours
Solving (a): Which takes longer?
First, represent both as fraction
Convert fraction to decimal
By comparison:
Hence, Arts take longer
Solving (b): How much longer?
To do this, we calculate the difference.
Take L.C.M
Sin 30° = 1/2 = x/8
then x = 4
sin 60° = √3/2 = y/8
then y = 4√3
so the length of the longer leg is 4√3
Multiply the car by 2: 300 meters x 2 = 600 meters
30 seconds x 2 = 60 seconds.
The car also traveled 600 meters in 60 seconds, so the speed of the vehicles are the same.
No vehicle was faster.
M is your answer, because the tangent intersects the circle at point M.
So M is correct.
Again, guess and test should work perfectly fine. Since 2(x+y)=32, x+y = 16. Because y-2 =x, y could be = 9 and x = 7. Hope that help!
