Answer:
6
Step-by-step explanation:
3/4*8=6
Answer:
Step-by-step explanation:
Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
It takes 40 minutes more going up or 40/60 = 0.67 hours
more.
Let us say that:
t = the time required for him running down
t + 0.67 = time required for him running up
Since the distance of running up and down must be equal
therefore:
(3 miles / hr) * (t + 0.67) = (5 miles / h) * t
3 t + 2.01 = 5 t
2 t = 2.01
t = 1.005 hr
So the total length of the hike is:
length = 2 * (5 miles / hr) * (1.005 hr)
<span>length = 10.05 miles</span>
Answer:
$17,321.43
Step-by-step explanation:
The amount of monthly income from commissions would have to be ...
$2100 -975 = $1125
This is 7% of sales over $1250, so the sales (s) would need to be ...
1125 = 0.07(s -1250)
1125 = .07s -87.50 . . eliminate parentheses
1212.50 = 0.07s . . . . add 87.50
17,321.43 = s . . . . . . . divide by 0.07
He would have to sell $17,321.43 in a month if he needed an income of $2100.
