Step-by-step explanation:
perimeter=4×6-1/4 ×2π×3=24-1/2×3.14×3=24-4.71=19.29cm
They bought 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Cost of one orchestra seat = $42
Cost of one mezzanine seat = $25
No. of people = 14
Amount spent = $486
Let,
x be the number of orchestra seats
y be the number of mezzanine seats
According to given statement;
x+y=14 Eqn 1
42x+25y=486 Eqn 2
Multiplying Eqn 1 by 25;

Subtracting Eqn 3 from Eqn 2 to eliminate y;

Dividing both sides by 17

Putting x=8 in Eqn 1

They bought 8 orchestra seats and 6 mezzanine seats.
Keywords: linear equation, elimination method
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Answer:
Area=2232 square ft
Perimeter=206 ft
Step-by-step explanation:
given
the diagram is a rectangle
length=72 ft
width=31 ft
we know that
formula of the area of rectangle= length × width
Area=72×31 square ft
Area=2232 square ft
Now calculate the perimeter
perimeter of rectangle=2(length+width)
perimeter=2(72+31)
perimeter=2(103)
perimeter=206 ft
Answer: C
Step-by-step explanation: If B is the set of colleges that have a physics department.
B’ is the set of colleges that do not have a physics department.
U is the union, so we are going to put every element from A and B' together. It can be translated as OR.
A U B’ is the set of elements in a country that have a hockey team (A) or do not have a physics department (B’)
.