<h2>
Hello!</h2>
The answer is:
The second distance (
) is equal to 7.5 feet.
<h2>Why?</h2>
Since we are given two forces acting at distance, torque will be created. We are given two forces and one distance, so, to calculate the other distance required to balance the system (solve this fulcrum problem), we need to write the following equation:
Where,
We are given,
So, substituting and calculating, we have:
Hence, the second distance () is equal to 7.5 feet.
It's a logical solution since the second force is twice the first force and it means that the second distance must be equal to half the first distance in order to maintain the equilibrium condition.
Have a nice day!
1/5(3x - 0.5) + 1/6= x/5 + 0.5
change decimals to fractions (0.5=1/2)
1/5(3x - 1/2) + 1/6= x/5 + 1/2
multiply 1/5 by each term in parentheses
(1/5*3x) + (1/5*-1/2) + 1/6= x/5 + 1/2
multiply within parentheses
3x/5 - 1/10 + 1/6= x/5 + 1/2
need a common denominator; all denominators go into 30
18x/30 - 3/30 + 5/30= 6x/30 + 15/30
combine like terms
18x/30 + 2/30= 6x/30 + 15/30
subtract 6x/30 from both sides
12x/30 + 2/30= 15/30
subtract 2/30 from both sides
12x/30= 13/30
multiply both sides by 30 to eliminate fractions
(12x/30)(30)= (13/30)(30)
12x= 13
divide both sides by 12
x= 13/12 or 1.083333
ANSWER: x= 13/12 or 1.083333
Hope this helps! :)
The angle m∠ABC is 70 degrees.
<h3>How to find angle in a rhombus?</h3>
The angle in a rhombus can be found as follows;
The opposite angle of a rhombus are congruent.
Therefore,
∠B = 140 degrees
Hence, the diagonal of a rhombus bisect an angle.
Therefore,
m∠ABC = 140 / 2
m∠ABC = 70 degrees.
learn more on rhombus here: brainly.com/question/11966028
#SPJ1
<h3>
Answer: 56 degrees</h3>
===================================================
Work Shown:
For any triangle, the three interior angles always add to 180
(4x-12) + (6x-17) + (2x+5) = 180
(4x+6x+2x) + (-12-17+5) = 180
12x - 24 = 180
12x = 180+24 ..... adding 24 to both sides
12x = 204
x = 204/12 ..... dividing both sides by 12
x = 17
We can use this x value to find the three angles
4x-12 = 4*17-12 = 56
6x-17 = 6*17-17 = 85
2x+5 = 2*17+5 = 39
As a check,
56+85+39 = 180
which confirms we have the right x value.
We see that 56 is the middle angle, so this is the second largest angle.
Answer:
I believe the answer is- The mean and MAD can accurately describe the "typical" value in the symmetric data set.
Step-by-step explanation:
The other answers don't make sense because the mean and MAD are being used for symmetrical distributions and asymmetrical means uneven distributions.
