Answer:
Step-by-step explanation:
1) if 30% use the bus, this set contains those that use the bus and walk, those that use the bus and ride a bicycle and also those that use all three.
Therefore, the percent of people that only ride the bus would be
30 - (12 + 5 + 2) = 30 - 19 = 11%
ii) The total number of people that were surveyed is 100%.
The number of people that don't use any alternative transportation would be
100 - (the percent that use at least, one alternative transportation).
Those that walk only is 25 - (2 + 12 + 10 = 1
Those that ride bicycle only is 20 - (5 + 2 + 10) = 3
Therefore, the percent that don't use any alternative transportation is
100 - (11 + 3 + 1 + 12 + 2 + 5 + 10)
= 100 - 44 = 56 %
Answer:
skew lines
Step-by-step explanation:
Given are two lines in 3 dimension as
![L1: x=23+6t, y=12+3t, z=19+5t\\L2: x=-9+7t, y=-7+5t, z=-12+8t](https://tex.z-dn.net/?f=L1%3A%20x%3D23%2B6t%2C%20y%3D12%2B3t%2C%20z%3D19%2B5t%5C%5CL2%3A%20x%3D-9%2B7t%2C%20y%3D-7%2B5t%2C%20z%3D-12%2B8t)
To find out whether parallel or skew or intersect
If parallel direction ratios should be proportional
Direction ratios of I line are 6,3,5 and not proportional to that of II line (7,5,8)
So not parallel
If intersect we must have same point for the two lines
Let us change parameter for II line to s to avoid confusion. If intersecting, then
![23+6t = -9+7s\\12+3t = -7+5s\\19+5t =12+8s\\](https://tex.z-dn.net/?f=23%2B6t%20%3D%20-9%2B7s%5C%5C12%2B3t%20%3D%20-7%2B5s%5C%5C19%2B5t%20%3D12%2B8s%5C%5C)
6t-7s=-32 and 3t-5s = -19
Solving
t=-3 and s =2
Check this with III equation
Left side = 19-15 =4 and right side = 12+16 =28
not equal
So there cannot be any point of intersection.
These two are skew lines
Answer:
7.3
Step-by-step explanation:
In order to find the hypotenuse, we just need to use the Pythagorean Theorem.
Remember, that this theorem only works for right triangles.
This theorem states that a^2+b^2=c^2
This is where a and b are legs of the triange, and c is the hypotenuse.
Knowing this, we can plug our values in.
6.4^2+3.5^2=c^2
Simplify.
41.344+12.25=c^2
53.594=c^2
Root both sides.
c=7.32 (about)
Round that to tenths.
c=7.3