<u>Given</u>:
The circumference of the smaller is 30% of the circumference of the larger circle.
We need to determine the circumference of the larger circle.
<u>Diameter of the larger circle:</u>
The diameter of the smaller circle is 9 in.
Since, the circumference of the smaller is 30% of the circumference of the larger circle, we have;
where S is the circumference of the smaller circle and L is the circumference of the larger circule.
Thus, the diameter of the larger circle is 30 inches.
<u>Circumference of the larger circle:</u>
The circumference of the larger circle is given by
Thus, the circumference of the larger circle is 94.2 inches.
Of Janet’s two solutions, both x=5 and x=-2 are correct because both x=-2 and x=5 are extraneous solutions
<h3>Logarithmic function</h3>
Given the log function expressed as:
log(x-3) + logx=1
According to the law of logarithm, addition becomes product to have:
log x(x -3) = log₁₀10
x² - 3x = 10
x² - 3x -10 = 0
x² - 5x + 2x - 10 = 0
x(x-5) + 2(x-5) = 0
(x+2)(x-5)=0
x = -2 and 5
Of Janet’s two solutions, both x=5 and x=-2 are correct because both x=-2 and x=5 are extraneous solutions
Learn more on logarithm here: brainly.com/question/25710806
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(6×5)×100=3,000 Since 6×5=30×100=3,000
From the moment the friend passes the bicyclist, his friend covers a distance over time t of (3.63 m/s)*t.
The bicyclist covers a distance of 1/2*(2.11 m/s^2)*t^2. They meet when these distances are equal:
3.63 t = 1.055 t^2 ==> 1.055 t^2 - 3.63 t = 0
==> t = 0 s or t = 3.44 s
It's not necessary that either one represents a proportional
relationship. But if either one does, then the other one doesn't.
They can't both represent such a relationship.
The graph of a proportional relationship must go through
the origin. If one of a pair of parallel lines goes through
the origin, then the other one doesn't. (If two parallel lines
both went through the origin, then they would both be the
same line.)
