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3 years ago

Select two fractions that are equivalent to 3/5

Mathematics

2 answers:

pochemuha3 years ago

8 0

To find equivalent fractions, just multiply the top and the bottom by the same thing.

So multiplying by 2 is

$\frac{6}{10}[/tex/[tex] \frac{12}{20}$ also works

Anika [276]3 years ago

8 0

9/15 divide each by 3 = (3/5)

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Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

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step 2

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$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

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step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

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Drupady [299]

No unit fractions are shown. (Sometimes editing is required when you copy and paste your question text.)

Selections B and D have 1 as their first digit. We suspect those are supposed to be the unit fractions 1/8 and 1/3, respectively.

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