Answer:
6.7cm, 13.4cm, 15cm.
Step-by-step explanation:
Let x be one side of the triangle. The question tells us the other side is 2x.
We can relate all 3 sides using the Pythagorean Theorem:
That means the side lengths are 6.7cm and 2 x 6.7 cm = 13.4cm.
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 = = 6