1. Answer = About 1451.42 m³
- First, we need to find the volume of the cube:
- Formula: πr²h
- Volume = π * 3² * 50 = 1413.72 m³
- Second, we need to find the volume of the cone:
- Formula: (πr²h)/3
- Volume = π * 3² * 4 = 37.69 m³
- Third, we need to add these two volumes to find the total volume of the figure.
- 1413.72 m³ + 37.69 m³ = 1451.42 m³.
2. Answer <em>= </em>960 m³
- Formula: (1/2(b*l)) * 20
- First, we need to find the area of the base (1/2 * b* l).
- 1/2 * 8 * 12 = 48.
- Second, we need to multiply the area of the base by the height to get the volume.
- B * h = 48 * 20 = 960 m³.
$22.50
You can get this by dividing the new total by 116%, which is how much of the bill was paid.
Move all terms to one side
4w^2 + 49 + 28w = 0
Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7
(2w)^2 + 2(2w)(7) + 7^2 = 0
Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
(2w + 7)^2 = 0
Take the square root of both sides
3w + 7 = 0
Subtract 7 from both sides
2w = -7
Divide both sides by 2
<u>w = -7/2</u>
A.) 1/2
B.) 3
For the first one, just plug the value of x (4) everywhere you see x in the formula.
For the second one, place 1 wherever you see f(x)
Hope this helps
