We are going to need to know the formula for the lateral surface area and volume of a cylinder in order to find our answers. Below are the equations:
- is the height
- is the radius
Using these formulas, we can solve these problems.
Answer:
Step-by-step explanation:
Width=(Length-2) units
W=(L-2) units
Area of the rectangle= 35 square units
Area = length* Width
Subtracting 35 both sides:
Solving the quadratic equation for 'L' ;
Using factorization:
Taking common from the equation :
OR
The length cannot be negative, therefore Length(L)= 7
There are 3 feet in 1 yard so 6 yards would be 6x3 :
6 x 3 = 18
the giraffe was 18 feet tall
hope this helped
To find the sales tax, you need to find 9.5% of 4.25
4.25*.095 = <span>.40375
Now we need to add the sales tax to the price.
4.25 + </span>.40375 = <span>4.65375
Because dollars one have 2 decimal points we should round this to 4.65
Hope this helped!
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Answer:
Side length = cm , Height = cm , Volume = cm³
Step-by-step explanation:
Assume
Side length of base = x
Height of box = y
total material required to construct box = A ( given in question)
So it can be written as
A = x² + 4xy
4xy = A - x²
Volume of box = Area x height
V = x² ₓ y
V = x² ₓ ( )
V =
To find max volume put V' = 0
So taking derivative equation becomes
A = 3
=
x =
put value of x in equation 1
y =
y =
y =
So the volume will be
V = × y
Put values of x and y from equation 2 & 3
V =
V =