Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
2/10 x 2/10 = 4/10 that can be a expression sorry if im wrong
Answer:
3x + 8 ≤ 24
Step-by-step explanation:
Three times a number
3x
increased by 8
+ 8
no more than 24
≤ 24
---------------------
Altogether
3x + 8 ≤ 24
Finding the
Lowest Common Denominator of:
Here's to find out how it was our LCD:
To find the fraction on the right side we had to multiply (and somewhat divide to get the answer)
So, therefore the Lowest Common Denominator of this question would most likely be:
Good Luck!
The intersected arc is the arc opposite the angle in question, here arc ABE.
Answer: ABE, last choice
