Answer:
See below ~
Step-by-step explanation:
<u>Table 1</u>
⇒ Side length : Perimeter = <u>1 : 4</u>
⇒ Perimeter : Side length = <u>4 : 1</u>
<u></u>
<u>Table 2</u>
⇒ Radius : Diameter = <u>1 : 2</u>
⇒ Diameter : Radius = <u>2 : 1</u>
<u></u>
<u>Table 3</u>
⇒ Number of people : Number of tables = <u>5 : 1</u>
⇒ Number of tables : Number of people = <u>1 : 5</u>
Answer:
y = 3x - 2
Step-by-step explanation:
y +8 = 3 (x + 2)
y + 8 = 3x + 6
y = 3x - 2
Domain: x≤5 (notice the closed dot on the right and the arrow on the left)
Range: y≤2 (notice the closed dot on the right and the arrow on the left)
The arrow means it keeps going infinitely. The closed dot means it stops there but is inclusive of that value.
Answer:
x = 6
Step-by-step explanation:
x + 6 = x + x
Combine like terms
x+6 =2x
Subtract x from each side
x+6-x = 2x-x
6 = x
Answer:
Step-by-step explanation:
The shape consists of three parts: a half sphere, a round cylinder and a round cone.
The half sphere volume = 1/2 * 4/3 * π * (4)^3
= 32/3 π
The round cyllinder volume = π * (4)^2 * 10
= 160 π
The round cone volume = 1/3 * π * (4)^2 * 3
= 16 π
Adding them together, the volume of shape
= 32/3 π + 160π + 16π
= (32/3 + 160 + 16)*3.14
= 586.13
Similarly the surface area
= (4π4^2)/2 + 2π4*10 + π*4*5
= (32+80+25)*3.14
= 430.18
