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3 years ago

The longest straight line you can draw within this circle is 3.6 inches long. What is the circumference of this circle?

Mathematics

1 answer:

nydimaria [60]3 years ago

3 0

Answer:

18 inches.

Step-by-step explanation:

We can connect two points of a circle in many ways, as you can see in the picture below.

The longest straight line that you can draw to connect two points is the diameter, that is, the straight line that passes through the center of the circle.

If the circle has 9 inches of radius the diameter will be 9+9 = 18 inches.

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Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Kisachek [45]

Answer:

Segment BF = 16

Step-by-step explanation:

The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately

The given theorem is the Triangle Proportionality Theorem

According to the theorem, given that segment DE is parallel to segment BC, we have;

$\dfrac{AD}{BD} = \dfrac{AE}{EC}$

Therefore;

$BD = \dfrac{AD}{\left(\dfrac{AE}{EC} \right) } = AD \times \dfrac{EC}{AE}$

Which gives;

$BD = 6 \times \dfrac{18}{12}= 9$

Similarly, given that EF is parallel to AB, we get;

$\dfrac{AE}{EC} = \dfrac{BF}{FC}$

Therefore;

$BF = FC \times \dfrac{AE}{EC}$

Which gives;

$BF = 24 \times \dfrac{12}{18} = 16$

Therefore, the statement that can be proved using the given theorem is segment BF = 16.

8 0

3 years ago

What is the domain of the function f(x)=45/(x-23)?

galben [10]

Domain is the set of numbers you can use
usually, domain=all real numbers except those that divide by zero

so find those exceptions
find what numbers make deonenator equal to 0 and exclude them
x-23 is denom
x-23=0
x=23

doman is all real numbers except 23

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3 years ago

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kifflom [539]

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3 years ago

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Whitepunk [10]

Answer: