The area of a full circle is given by
A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
A = (π/4)*r^2
The area of a parallelogram is the product of base length and height:
A = bh
Your composite figure will have an area that is the sum of the areas of the parts.
A = (quarter circle area) + (parallelogram area)
A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
A ≈ 223.86 in^2 ≈ 224 in^2
The most appropriate selection is the last one,
224 in^2
Answer:
Step-by-step explanation:
Discount = Regular price × % discount
The number of kids in your group is 12.
Step-by-step explanation:
Given,
Number of people = 20
Cost of each kid ticket = $4
Cost of each adult ticket = $6
Total spent = $96
Let,
x be the number of kids ticket
y be the number of adult ticket
According to given statement;
x+y=20 Eqn 1
4x+6y=96 Eqn 2
Multiplying Eqn 1 by 4
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 2
Putting y=8 in Eqn 1
The number of kids in your group is 12.
Keywords: linear equation, elimination method
Learn more about elimination method at:
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Answer:
The value could replace q is 108 - n ⇒ the last answer
Step-by-step explanation:
* Lets study the values of quarters and nickles
- One quarter = 25 cents
- One nickle = 5 cents
- The number of coins is 108
- The coins are nickles or quarters only
- The coins worth $ 21
* Lets solve the problem
∵ The number of coins is 108 coins
- Let the quarter is q and the nickel is n
∴ q + n = 108 ⇒ (1)
∵ The coins worth $21
∵ $ 1 = 100 cents
∴ $21 = 21 × 100 = 2100 cents
∵ The quarter = 25 cents
∵ The nickels = 5 cents
∴ 25q + 5n = 2100 ⇒ (2)
- To find the value which replace q use equation (1)
∵ q + n = 108 ⇒ subtract n from both sides
∴ q = 108 - n
* The value could replace q is 108 - n
