Answer:
Step-by-step explanation:
for the cylinder
27π = πr²h = πr²(2r) = 2πr³
for the sphere
V = (4/3)πr² = (2/3)(2πr³) = (2/3)27π
Answer:
y=27x
Step-by-step explanation:
If Buddy makes 15 toys per hour we can use the expression [15x=y] (let x be # of hours worked). If Bubbles makes 12 toys per hour we can use the expression [12x=y]. To find out the number of toys they make together we can just find the total number of toys they make in an hour. (Combine the 2 equations).
15x+12x=y
27x=y
Okay so your equation is going to be : 18= 5k + 3.25p
Answer:
The correct option is;
DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)
Step-by-step explanation:
Given that we have;
1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC
2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC
3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC
Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;
AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))
∴ (sin(m∠ADE)) = (sin(m∠ABC))
m∠ADE) = m∠ABC).
Answer:
(x,y) becomes (-y,x) so (3,2) would become (-2,3)