Answer:
Answer: the vase contains 1017.36 inches³ of soil.
Step-by-step explanation:
We would apply thee formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
h represents the height of the cylinder
r represents the radius of the cylinder.
π is a constant whose value is 3.14
From the information given
Diameter = 12 inches
Radius = diameter /2 = 12/2
Radius = 6 inches
Height = 12 inches
Therefore,
Volume of the cylindrical vase =
3.14 × 6² × 12 = 1356.48 inches³
If the vase is filled 3/4 full of soil, then the volume of soil in the vase is
3/4 × 1356.48 = 1017.36 inches³
Answer:
5.7a - 18.2b
Step-by-step explanation:
<u>Step 1: Write the equation</u>
(12.2a + 9.7b) – (18.1b – 0.2a) – (6.7a + 6.8b)
<u>Step 2: Open all brackets</u>
12.2a + 9.7b - 18.1b + 0.2a - 6.7a - 6.8b
<u>Step 3: Arrange all 'a' together and all 'b' together</u>
12.2a + 0.2a - 6.7a + 9.7b - 18.1b - 6.8b
<u>Step 4: Simplify</u>
5.7a - 18.2b
!!
Answer:
Step-by-step explanation:
Given:
Required:
Solve for y (make y the subject of the formula)
SOLUTION:
Square both sides
Subtract both sides by x
Divide both sides by 2
The answers to the blanks are
1. 600,
2. 120,
3. 120,
4. 180.
Explanation:
- The fence means perimeter around the court. So a tennis court's perimeter is 600 feet fence. The perimeter of a rectangle is 2 times the sum of the rectangle's length and the rectangle's width.
- It is given that length equals 60 more than width i.e. l = w + 60, where l is the length of the court and w is the width of the court.
- The perimeter of a court = 600 = 2 (l + w) = 2l + 2w = 2 (w +60) + 2w, this becomes, 2w + 120 + 2w = 600; 4w = 480, w = 120.
- Since l = w + 60, l = 120 + 60 = 180. So length of a court is 180 feet and the width of a court is 120 feet.
Answer:
Exact Form:
39
/10
Decimal Form:
3.9
Mixed Number Form:
3 9/10
Step-by-step explanation:
