The answer to 1/4x - 6 = 3/5 is x = 132/5, or if you want to simplify it to a mixed fraction, it'd be 26 2/5. Here are the steps:
1/4x - 6 = 3/5
+6 +6 Add 6 to each side to isolate the variable x.
1/4x = 6 3/5
(4)1/4x = 6 3/5(4) Multiply by 1/4's reciprocal (4), to isolate the variable x.
x = 33/5 (4)
x = 132/5
x = 26 2/5
The answer to this problem
-20^2+10+6
Answer:
319
Step-by-step explanation:
So, to find the surface area, first we find the base area, which is: 11 x 11 = 121
Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.
So,
b = 11
h = 9
1/2 x 11 x 9 = 49.5
The, we multiply by 4, the number of sides: 49.5 x 4 = 198
Then, we add the 2, values: 121 + 198,
Which gives us: 319.
Hope this helped!
Answer:
and 
Step-by-step explanation:
Given that the larger gear is turning at the rate 50rpm. The angular velocity, 
, of the larger gear can be calculated as follows:
to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:
That gives
Which gives:
This is the angular velocity of the larger gear in rads/sec.
In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by
where v stands for linear velocity and 
for radius of larger velocity.
We are given the radius of the larger gear as 7ft so we have
To get the angular velocity of the smaller gear, we use
where 
is the radius of the smaller gear which is given as 4.
Since linear velocity is the same, we have
