Answer:
2 sqrt(19)
Step-by-step explanation:
We know that the angle between the two hands
360 /12 *2 = 60 degrees
We divide by 12 because there are 12 number and multiply by 2 because there are 2 number between 10 and 12
This is a triangle where we know 2 sides and the angle between them.
We can use the law of cosines to determine the third side
c^2 = a^2 + b^2 -2abcosC
Where C is the angle between sides a and b
a =4 and b = 10 C = 60 and we are looking for side c
c^2 = 4^2 + 10^2 -2*4*10 cos60
c^2 =16+100 - 80cos 60
c^2 = 76
Take the square root of each side
sqrt(c^2) = sqrt(76)
c = sqrt(76)
c =sqrt(4) sqrt(19)
c =2 sqrt(19)
Answer:
x = all real numbers.
Step-by-step explanation:
3 x minus 8 = negative x + 4 (x minus 2)
3x - 8 = -x + 4(x - 2)
3x - 8 = -x + 4x - 8
3x - 8 = 3x - 8
3x - 3x = -8 + 8
0 = 0
Since the result is a true statement, but 0 = 0, x is equivalent to all real numbers.
Hope this helps!
Answer: 25
Step-by-step explanation: got it wrong and got the answer Took 1 for the team
Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve
and replace the result in the initial equation as:

Then, this equality apply only if the coefficient of
is equal in both sides and the constant is equal in both sides.
It means that we have two equations:

So, using the first equation and solving for a, we get:

Finally, replacing the value of a in the second equation and solving for b, we get:

Answer:
1 and 1/8
Use common denominators:
5/8 - 4/8
so the answer is the 4th one