Answer: A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and the other piece is used to form a square.
How should this string be cut so that the sum of the areas is a minimum .
:
Let x = the circumference of the circle
then
(24-x) = the perimeter of the square
:
Find the area of the circle
find r
2*pi*r = x
r =
Find the area of the circle
A =
A =
A = sq/cm, the area of the circle
:
Find the area of the square
A = sq/cm the area of the square
The total area
At = +
Graph this equation, find the min
Min occurs when x=10.6 cm
cut string 10.6 cm from one end
Step-by-step explanation: Hope I help out alot (-: :-)
The diameter is equal to the radius multiplied by 2.
Answer:
1+1=2
I don't know why you would ask that lol
Answer:
perimeter = 15.42 cm
Explanation:
Semi-circle is defined as half a circle.
The formula used to compute the perimeter of the semi circle is:
perimeter = πr + 2r
where:
π is a constant = 3.14
r is the radius = 3 cm
Substitute with the givens in the above formula to get the perimeter as follows:
perimeter = π(3) + 2(3)
perimeter = 3π + 6
perimeter = 3(3.14) + 6
perimeter = 15.42 cm
Hope this helps :)
Answer:
She would receive 96 points
Step-by-step explanation:
The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.
Mathematically
Y= kt
Where k is constant of proportionality
If y= 72 and t= 3
72=k3
72/3= k
24= k
So
Y= 24t
If t= 4
Y= kt
Y= 24(4)
Y= 96
Y = 96 points
She would receive 96 points
