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2 years ago

13

There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of all flowers in the vase to daisies (PICTUR

E) (BRAINLEST TO BEST ANSWER)

1 answer:

lara [203]2 years ago

5 0

Answer:

a) 6:5

b) 11:5

(Daisies: 11-6=5)

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Fine length of BC on the following photo.

MrMuchimi

Answer:

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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

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

$AC^2=320$

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step 2

In the right triangle ACD

Find the cosine of angle CAD

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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

so

equate equation A and equation B

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

solve for x

Multiply in cross

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

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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

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