If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
Answer:
16x- 20y=20
Step-by-step explanation:
20y-20y =0
so answer is 16x
Answer:
The answer is:
30 minutes.
Step-by-step explanation:
We are given the following information:
at 160 m/min, tool life = 5 min.
at 120 m/min, tool life = 17 min.
This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:
speed = 160 - 120 = 40 m/min
tool life = 17 - 5 = 12 min.
Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.
40 m/min = 12 min
∴ 1 m/min = 12/40 min.
∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.
Answer; c^2 = a^2 + b^2
c = 17 inches
a = 8 inches
b^2 = c^2 – a^2
b^2 = 17^2 – 8^2
b^2 = 289 – 64
b^2 = 225
b = square root of 225
b = 15 inches ≈ c.
44 = 2^2 x 11
11+2= 13
13
-----
44 = <span>0.29545454545</span>
