Answer:
15x12=180mm
Step-by-step explanation:
Answer:
The answer is 6.8 minutes per mile.
Step-by-step explanation:
We change: 7 3/4 = 31/4
and 52 7/10 = 527/10
Then 31/4 miles in 527/10 minutes, that means 1 mile will be in (527/10)/(31/4).
So we calculate: (527/10)/(31/4)= (527/10)*(4/31) = (527*4)/(10*31)= 17*4/10 = 17*2/5 = 34/5= 6.8
The answer is 6.8 minutes per mile.
Hope you understand.
Answer:
It’s A
Step-by-step explanation:
Answer:
k = 29
Step-by-step explanation:
(5k -3) + (9+k) = 180
5k-3+9+k = 180
6k + 6 = 180
6k = 180 - 6 = 174
k = 29
The explanation for this is one of my favorite pieces of mathematical reasoning. First, let's thing about distance; what's the shortest distance between two points? <em>A straight line</em>. If we just drew a straight line between A and B, though, we'd be missing a crucial element of the original problem: we also need to pass through a point on the line (the "river"). Here's where the mathemagic comes in.
If we take the point B and <em>reflect it over the line</em>, creating the point B' (see picture 1), we can draw a line straight from A to B' that passes through a point on the line. Notice the symmetry here; the distance from the intersection point to B' is<em> the same as its distance to B</em>. So, if we reflect that segment back up, we'll have a path to B, and because it came from of the line segment AB', we know that it's <em>the shortest possible distance that includes a point on the line</em>.
If we apply this same process to our picture, we see that the line segment AB' crosses the line at the point (1, 1)