1. Regroup terms
x(x+5)=104
2. Expand
x^2+5x=104
3. Move all terms to one side
x^2+5x-104=0
4. Factor x^2+5x-104
(x-8)(x+13)=0
5. Solve for x
x=8 or x=-13
Since x<0 is not possible in this case, x=8
6. Finding the dimensions
We know that one side has to be x+5, and now that we know x:
8+5=13
13*8=104
The dimensions are 13 and 8, have a nice day :D
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
Height = 10 units
Radius = 10 units
Volume = π × 10² × 10
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Height = 10 units
Base = 10 units
Volume = 1/3 × π × 10² × 10
Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is
π × 10² × 10 - 1/3 × π × 10² × 10
1 pint = 2 cups or 1 cup = 1/2 pint
x pints = 12 cups
(12 cups) / 2 = 6 pints
12 cups is equivalent to 6 pints
Answer:
10 1/2
Step-by-step explanation:
We need to convert 1 3/4 to an improper fraction
1 3/4 = (4*1+3)/4 = 7/4
Multiply this by the number of batches
7/4*6 = 42/4 = 21/2
Change this back to a mixed number
2 goes into 21 10 times with 1 left over
10 1/2
the answer is B your welcome