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Sergeeva-Olga [200]
3 years ago
14

15

Mathematics
1 answer:
boyakko [2]3 years ago
3 0

Answer:

hey ok

Step-by-step explanation:

a

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Given: △ABC; AB=BC, m∠BDA = 60°, BD=4 cm, BD ⊥ BA . Find: DC, AC.
vekshin1

Answer:

DC = 10.93 cm ,  AC = 9.8 cm

Step-by-step explanation:

From trigonometry;

⇒ Tan 60 = AB/BD

⇒AB = BD Tan 60 ( where BD = 4 cm )

⇒ AB = 6.93 cm

Also, AB=BC , therefore;

⇒ BC = 6.93 cm

⇒ Cos 60 = BD/AD

⇒ AD = BD/ Cos 60 = 4/Cos 60

⇒ AD = 8 cm

From Pythagoras theorem;

⇒ AC^{2} = AB^{2} + BC^{2} = (6.93)^{2} + (6.93)^{2}

⇒ AC = \sqrt{96.05} = 9.80 cm

⇒ DC = BD + BC = 4 + 6.93

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8 0
3 years ago
The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps. At this rate, how many times will she not fall i
Inessa05 [86]

<u>Answer:</u>

Rhonda will not fall 264 times in 360 jumps.

<u>Solution:</u>

Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.  

We have to find At this rate, how many times will she not fall in 360 jumps.

Now,  

For 15 jumps → 4 falls

For 360 jumps → n falls

Now apply Chris cross method,

15 \times n=360 \times 4 \rightarrow n=\frac{360 \times 4}{15}=24 \times 4=96

So, she falls 96 times in 360 jumps.

Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.

Hence, Rhonda will not fall 264 times in 360 jumps.

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Step-by-step explanation:

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