Answer:
0.16 gallons of paint are used on each piece of furniture.
The answer lies between the whole numbers 0 and 1.
Step-by-step explanation:
we know that
Four gallons of paint are used to paint 20 chairs and 5 small tables.
if each chair and table used the same amount of paint
then
sum the total pieces of furniture
20+5=25 pieces
Find the unit rate
Divide the total gallons of paint used by the total pieces
therefore
0.16 gallons of paint are used on each piece of furniture.
The answer lies between the whole numbers 0 and 1.
Answer:
lol ty for the points
Step-by-step explanation:
<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.
If I'm correct and the ^ stands for multiplication then the answer should be 5.
The picture is my work just ignore the fraction.
