Answer:
Discount = 14.3% (rounded up to one decimal place)
Step-by-step explanation:
The regular price of an item is $84
Discount = $12
Percentage discount = (Discount ÷ regular price) × 100
Percentage discount =
× 100 = 14.3% (rounded up to one decimal place)
Answer:
X is intercepted at -7
Y is intercepted at 2
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Given :
Length = l
Width = w
Area of square = 45
Let side of square = x
Area of square = x²
45 = x²
√45 = x
l of rectangle = x + 5 = √45 + 5
w of rectangle = x -5 = √45 -5
Area of rectangle= l * w
Area = (√45 + 5) * (√45 - 5)
Area = 45 - 5√45 + 5√45 -25
Area = 45 -25
Area of rectangle = 20
Answer:
A = 1.5386
Step-by-step explanation:
Quarter circle area formula:
A = (πr²)/4
A= (π1.4²)/4
A = (3.14*1.96)/4
A = (6.1544)/4
A = 1.5386
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 = 