If B is between A and C, and AB=3x+1, BC=2x-7, and AC=24, then find the value of x and the value of AB
let assume AC is straight line and B is on line
AB + BC = AC
3x+1 +2x -7 = 24
5x -6 = 24
5x = 30
x = 6
Answer:
Step-by-step explanation:
Find an answer to your question The voltage is 27/125 and it has been reduced 3 times. What is the original voltage in the circuit?
Remark
In order to solve for the Cos(x), you need to find the missing side. You can do that by finding the Sin(x) first and then the Cos of x or you can just use the Pythagorean theorem. I'm going to do the latter.
Formula
a^2 + b^2 = c^2
Givens
a = ???
b = 32
c = 58
Sub and solve
a^2 = ???
b^2 = 1024
c^2 = 3364
a^2 + 32^2 = 58^2
1024 + a^2 = 3364 Subtract 1024 from both sides.
a^2 = 3364 - 1024
a^2 = 2340 Take the square root of both sides.
sqrt(a^2) = sqrt(2340) Break a into its prime factors.
a = sqrt(2 * 2 * 5 * 3 * 3 * 13)
Rule
For every pair of equal factors, one can be brought outside the root sign and the other is discarded.
a = 2 * 3 * sqrt(5*13)
a = 6 sqrt(65)
The cos of an angle = opposite / hypotenuse.
Cos(x) = 6*sqrt(65) / 58 <<<<< This should be the answer
If you are offered choices, you should list them
Another choice would be 6*8.0623 / 58 = 0.8340 <<<<< Answer
Answer:
Step-by-step explanation:
The even numbers less than 10 are
2 which can only be done 1 way: when you roll snake eyes.
4 can be done 3 ways (2,2) (3,1) and (1, 3)
6 can be done 5 ways (2,4) (4,2) (5,1) (1,5) and (3,3)
8 can be done 5 ways (4,4) (2,6)(6,2)(5,3) and (3, 5)
There are 36 ways of throwing the number cubes.
We have a total of 5 + 5 + 3 + 1 = 14 ways
The answer you want is
14/36 = 7 / 18 = 0.389
