Answer:

Step-by-step explanation:
If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:
Here the machines are constant and the rate is x toys per hour:
If 5 machines make x per hour:
Rate is x/1 hour
The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:
Rate for 5 machines is x and for 8 machines is y:

25 feet each. All you have to do is divide the perimeter by how many sides.
the Answer would be the Length of BC = 24 units. Since AB = AC you will get that the two are equal. Use this t solve for x.
Step One
Solve for y
Cos(A) = adjacent / hypotenuse
Cos(A) = y / 8
y = 8 * cos(A)
y = 8 * cos(73)
y = 8 * 0.2924
y = 2.339
Step Two
Solve for x
Sin(A) = opposite / hypotenuse
Sin(73) = x / 8
x = 8 * sin(73)
x = 8 * 0.9563
x = 7.550
Check
x^2 + y^2 =? 8^2
2.339^2 + 7.55^2 =? 8^2
5.471 + 58.53 =? 64
64.000921 = 64 which is close enough.