Suzanne is making a circular table out of a square piece of wood. The radius of the circle that she is cutting is 3 feet. How
1 answer:
Answer:
The waste Suzanne is going to have is around 7.726.
8 if looking for nearest square foot.
Step-by-step explanation:
Area for a square - x*x (length times length)
Area for a circle - r^2*pi
Find the area of the circle first, which plug in r as 3.
3^2*pi
9pi
≈28.27433
Notice for a circle inside a square, the length of the square is the diameter of the circle.
By knowing 2r=diameter, we know the length of the square is 6
substitute x as 6.
6*6=36
Find the waste= Area of square - Area of circle
36-28.27433
≈7.726
The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.
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Answer:
d. The cost of natural gas (y) = $0.83 per unit
Step-by-step explanation:
The explanation is shown below:-
the equation of system is:
750x + 17y = 141.61 (i)
300x + 30y =75.90 (ii)
as x indicates the cost of electricity and y indicates the costs of natural gas.
we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75
after solve the above equation we will get
22,500x + 510y = 4248.3 (iii)
after solve the above equation we will get
22500x + 2250y = 5692.5 (iv)
After deducting the equation (iii) and (iv) we will get
1740 y = 1444.2
After Dividing by 15 both sides,
116y = 96.28
So, Katrina simplify the above system using linear equation and reach at the equation that is
116 y = 96.28
By Division property of equality defines that divide the equal no. of both sides of an equation:
by Division of 116 to both sides of an equation, to get y:
y = 0.83
So, the natural gas is $0.83 per unit