A circular plate has circumference 24.5 inches. what is the area of this plate? use 3.14 for pi.
2 answers:
Given:
Circumference of a circular plate = 24.5 inches.
To FInd:
Area of the circular plate
Solution:
By the formula of circumference
Circumference of a circular plate = 2πr
Where 'r' = radius of the plate
24.5 = 2
r = [Since π = 3.14]
r = 3.90 inches
We know the formula of a circular plate is,
Area = πr²
Therefore, A = (3.14)(3.90)²
A = 47.79 square inches
Therefore, area of the circular plate is 47.79 inches.
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Answer:
Number of pounds of dried mangoes Chloe bought = 3.5
Number of pounds of dried kiwi Chloe bought bough = 6.5
Step-by-step explanation:
Total number of pounds of dried fruit purchased = 10
Let number of pounds of dried mango purchased =
Let number of pounds of dried kiwi purchased be =
Total weight of dried fruits purchased =
So, we have a sum equation as:
Total cost of dried fruits = $40.34
Cost of a pound of dried mango = $2.11
Cost of pounds of dried mango in dollars can be given as =
Cost of a dried kiwi = $5.07
Cost of pounds of dried kiwi in dollars can be given as =
Total cost of dried fruits in dollars =
So, we have a cost equation as:
The system of equations is :
A)
B)
Solving by substitution.
Rearranging equation A, to solve for in terms of
Subtracting both sides by
Substituting value of we got from A into equation B.
Using distribution.
Simplifying.
Subtracting both sides by 50.7.
Dividing both sides by -2.96.
∴
We can plugin in the rearranged equation A to get value of
∴
So, number of pounds of dried mangoes Chloe bought = 3.5
Number of pounds of dried kiwi Chloe bought bough = 6.5