Answer:
22/3
Step-by-step explanation:
Make the whole number turn into a fraction, (21/3) and add the numerator (1/3), which the answer would be 22/3
A certain four-cylinder combination lock has 50 numbers on it.
It is a four cylinder combination lock
Each cylinder has 50 numbers
So we have to choose 4 numbers for 4 cylinders
_____ , ______ , ______, _____
you turn to a number on the first cylinder
We have 50 numbers so we have 50 combinations
__50___ , ______ , ______, _____
Repetitions are allowed so we do the same for remaining three
50 , 50 , 50 , 50
50 * 50 * 50* 50 = 6250000
There are 6250000 different lock combinations .
X= base
Area= 1/2(base)(height)
24=1/2(b)(4)
24=(4*1*b)/2
24=4b/2
Divide 2 into 4
24=2b
Divide both sides by 2
12=b
base= x= 12 units
Hope this helps! :)
Answer:
129.8 approximately
Step-by-step explanation:
So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.
So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.
My math is case sensitive.
X is the angle opposite to the side x.
Law of cosines formula is:

So we are looking for X.
We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).



Subtract 80 on both sides:


Divide both sides by -64:

Now do the inverse of cosine of both sides or just arccos( )
[these are same thing]

Time for the calculator:
X=129.8 approximately