sofia recycled 3 pounds less than the amount james recycled. hannah recycled 3 times the amount sofia recycled. if the three rec
2 answers:
Answer
Find out the how many pounds did sofia recycle .
To prove
Let us assume that the james recycled be = x
As given
sofia recycled 3 pounds less than the amount james recycled.
hannah recycled 3 times the amount sofia recycled.
Sofia recycled be = x - 3
hannah recycled be = 3 × (x - 3)
As given
the three recycled a total of 73 pounds .
Than the equation becomes
x + x - 3 + 3 × (x - 3) = 73
x + x - 3 + 3x - 9 = 73
5x - 12 = 73
5x = 73 + 12
5x = 85
x = 17
Sofia recycled be = x - 3
= 17 - 3
= 14 pounds
Therefore 14 pounds sofia recycled .
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If the equation is r = 3 +4cos(θ) then because b/a>1 the curve is a limacon with an inner loop.
Given limacon with equation r=3+4cos(θ) and we have to answer how the quotient of a and b relate to the existence of an inner loop.
Equation is like a relationship between two or more variables expressed in equal to form and it is solved to find the value of variables.
formula of polar graph is similar to r= a+ b cos (θ).
Case 1. If a<b or b/a>1
then the curve is a limacon with inner loop.
Case 2. If a>b or b/a<1
Then the limacon does not have an inner loop.
Here given that (θ)
It is observed that , a<b or b/a>1
Therefore the curve is limacon with an inner loop.
Hence because b/a>1 the curve is a limacon with an inner loop.
Learn more about limacon at brainly.com/question/14322218
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