Answer:
The perimeter is
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle
plus the perimeter of a square minus the diameter of the circle
so
we have
The diameter of the circle is equal to the length side of the square
substitute
Answer:
Therefore the circumference of the circle is
Step-by-step explanation:
Let the side of the square be s
and the radius of the circle be r
The perimeter of the square is = 4s
The circumference of the circle is =2πr
Given that the length of the wire is 20 cm.
According to the problem,
4s + 2πr =20
⇒2s+πr =10
The area of the circle is = πr²
The area of the square is = s²
A represent the total area of the square and circle.
A=πr²+s²
Putting the value of s
For maximum or minimum
Differentiating with respect to r
Again differentiating with respect to r
> 0
For maximum or minimum
Therefore at , A is minimum.
Therefore the circumference of the circle is
Answer:
$4
Step-by-step explanation:
Discount is a form of consideration in price or amount given to a customer on a sale of goods. It can be deduced from the question that;
The original price of each plant = $x
Number of plants purchased = 20
Price of the number of plants purchased without discount = $20x
Amount paid for the 20 plants with discount = $(20x - 80)
Thus,
The discount on the 20 plants = $80
Discount on each plant =
=
= $4
Discount on each plant = $4
Therefore, each plant was discounted by $4.