M is directly proportional to r cubed. When r=4, M=160. A) Work out the value of M when r=2.
B) Work out the value of r when M=540.

A. M= 20

B. r = 6

Step-by-step explanation:

M=kr³

where k is the constant

M= 160 , r 4

160= k(4)³

k = 160/4³= 2.5

A. when r= 2 , M= kr³

M= 2.5(2)³ = 20

B. when M= 540, find r

M= kr³

r³ = M/k

r³ = 540/2.5

r³= 216

r = 6

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: