From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
Answer:
2/13
Step-by-step explanation:
In a deck of 52 cards, there are 2 sets of red cards. Diamonds and Hearts. In each set of red cards, there are 4 fives. If there are 2 sets, that means that there are 8 red fives in the deck of 52 cards. This means that the probability is 8/52 which is simplified into 2/13.
We have to assume that the speed before being stuck was sufficient to get to the destination on time had there been no delay. Call that speed "s" in km/h.
Since 200 km is "halfway", the total distance must be 400 km.
time = distance / speed
total time = (time for first half) + (delay) + (time for second half)
400/s = 200/s + 1 + 200/(s+10) . . . .times are in hours, distances in km
200/s = 1 + 200/(s+10) . . . . . . . . . . subtract 200/s
200(s+10) = s(s+10) +200s . . . . . . .multiply by s(s+10)
0 = s² +10s - 2000 . . . . . . . . . . . . . .subtract the left side
(s+50)(s-40) = 0
Solutions are s = -50, s = 40
The speed of the bus before the traffic holdup was 40 km/h.
Answer:
5%
Step-by-step explanation:
The equation for simple interest rate is as follows:
A = P(1+rt)
A = final amount
P = initial principal amount
r = annual interest rate
t = time (in years)
So, we need to plug everything in and solve for r:
The final amount is equal to $875 plus the interest of $131.50.
A = 875 + 131.50 = 1006.50
Now, plug everything in:
1006.50 = 875( 1 + r(3))
Solve:
1 + 3r = 1.15028571 Divide 1006.50 by 875
3r = 0.15028571 Subtract 1 from 1.15028571
r = 0.050 Divide by 3
The simple interest rate would be 5%. I converted the r to a percent by multiplying 0.050 by 100.
I hope this helps!! Ask questions if you need!!
Answer i think its 0.5 i searched it and thats what it said
Step-by-step explanation:
