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san4es73 [151]
3 years ago
12

Find the area of the circle if the square has an area of 900 in2. give your answer in terms of.

Mathematics
1 answer:
svp [43]3 years ago
6 0
First find the square root of 900 to get one side of the square, which is 30 inches.
Formula for area of a circle: pi times the radius(squared)
The radius is 15 because one side of the square equals the diameter of the circle. 15 squared is 225.
3.14x225=<u>706.5 inches squared

</u>I hope this helps, because I did not have a diagram of the problem, but this should be the answer if the circle is inscribed in the square.<u>
</u>
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The circumference of the smaller is 30% of the circumference of the larger circle. Find the circumference of the larger circle.
Ostrovityanka [42]

<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;

S=0.3L

where S is the circumference of the smaller circle and L is the circumference of the larger circule.

\pi(9)=(0.3)\pi d

    9=0.3d

  30=d

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

C=\pi d

C=3.14\times 30

C=94.2

Thus, the circumference of the larger circle is 94.2 inches.

8 0
3 years ago
Janet solves this equation
mezya [45]

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

#SPJ1

8 0
2 years ago
(6×5)×_=3,000 complete the pattern
Art [367]
(6×5)×100=3,000 Since 6×5=30×100=3,000
5 0
3 years ago
A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 3.63 m/s. Four seconds later,
castortr0y [4]

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

5 0
3 years ago
two parallel lines are graphed on a coordinate plane.how many of the lines could represent proportional relationship?Explain.
soldi70 [24.7K]

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.)

7 0
3 years ago
Read 2 more answers
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