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GalinKa [24]
3 years ago
9

Find the arc of the semicircle(diameter is 12)

Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

18.849

Step-by-step explanation:

\frac{180}{360}  \times 2\pi \:  \times 6 \\  \frac{1}{2}  \times 2 \times \pi \times 6 \\  \pi \times 6  \\ = 18.849

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Step-by-step explanation:

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3 years ago
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}

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

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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
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natali 33 [55]

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Step-by-step explanation:

Find out if they match in all of them

Hope this helps

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3 years ago
A certain aircraft can carry a maximum cargo weight of 1300 pounds. If the baggage weighs no more than 210 pounds, what is the l
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