For a 45-45-90 triangle if the sides rae x then the the hytponuse is x√2
(x is the missing side)
5. 10=x√2
10/√2=x
rationalize denom, times top and bottom by √2
10√2/2=x
5√2=x=XY
6. 12√2=YZ
7.
7√2=XZ
8.
7*2=14=XZ
for 30-60-90
the side oposite the 30 deg is x
side oposite 60 is x√3
side oposite right angle is 2x
hyptonuse is oposite right angle
20=2x
10=x=shorter leg
shorter leg is 10 units
the hyptonuse
Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then
Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).
(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.
Answer:
its.12.5
Step-by-step explanation:
but if you round it up it can be either 13 or 12 but i would stick with 12 cause you cant round it up for guests since you know real life and if you stay at 12 they hey stay at 12
Answer:
7.5
Step-by-step explanation:
10x + 8x + 6x = 180°
24x = 180°
x = 180°÷24
× = 7.5
I can only thin of a hot and miss method to do this . That is using Stirlings approximation for n!-
ln n! = approx n ln n - n
so if we try n = 60 this gives 4.2796 * 10^80
so we could try higher values:-
n = 65 gives an 89 digit number
n = 70 gives 98 digit number
n=71 gives me an memory error on my calculator!
Lets try an online calculator
Web2.0 calculator gives a 101 digit number or n=71
70 is your answer
