Question

need help with checking answers and #10 and 12
https://ibb.co/gLvnHx

Answer 1

#10 is a 30-60-90 Triangle

Sides Opposite to Angles
90 - 2a
60 - a sqrt 3
30 - a

They give the hypotenuse, which is 2x
You can solve for y, the side opposite to angle 30
You can do this by dividing (4 sqrt 3) by 2.
From 2a -> a

\[\frac{ 4 \sqrt 3 }{ 2 } = y\]

Answer 2

y = a

as per the 30 60 90 rule

The side opposite to the angle 60 is a sqrt 3

So we can do the following,

\[a \sqrt 3\]
\[a = \frac{ 4 \sqrt 3}{ 2 }\]

\[(\frac{ 4 \sqrt 3 }{ 2}) \sqrt 3\]

Basically substituting a in.

Then we simplify

\[\frac{ 4(3) }{2 } = \frac{ 12 }{ 2 } = 6\]

Answer 3

Remember that
\[\sqrt x \times \sqrt x = x\]

Answer 4

It seems that your main error though for 10 was putting the wrong values for the sides.

You had x for the hypotenuse, 2x for the angle opposite to 60, and x sqrt 3for the angle opposite to 30.

Answer 5

In actuality it's
hypotenuse - 2x
60 - x sqrt 3
30 - x

Answer 6

so for 10 is th e answer 6 or (4 square root 3 over 2) square rooted by 3

Answer 7

Correct, for x.
\[y = \frac{ 4 \sqrt 3 }{ 2 }\]

Answer 8

then where did the 6 come from

Answer 9

\[6 = (\frac{ 4 \sqrt 3 }{ 2 }) \sqrt 3\]

Answer 10

Do you understand?

Answer 11

oh yea i was just confused bc i thought u meant 6 was the answer

Answer 12

wait so the answer is 6= (4 square 3 over 2) square ?

Answer 13

\[x = (\frac{ 4 \sqrt 3 }{ 2 }) \sqrt 3\]

\[y = \frac{ 4 \sqrt 3 }{ 2 }\]

Answer 14

x also equals 6

Answer 15

6 is better though, since it's simplified.

Answer 16

so x is 6?

Answer 17

yus

Answer 18

so u don't have to write 6= (4 square 3 over 2) square ?

Answer 19

nope

Answer 20

All good?

Answer 21

Or is there another one you need help with?

Answer 22

can check if 8 is correct

Answer 23

This means:

Answer 24

So we can do

\[7 = x \sqrt 3\]

\[\frac{ 7 }{ \sqrt 3} = x\]

\[\frac{ \sqrt 3 }{ \sqrt 3 } \times (\frac{ 7 }{ \sqrt 3 }) = x\]

\[\frac{ 7 \sqrt 3 }{ 3} = x\]

Answer 25

\[x = b = \frac{ 7 \sqrt 3 }{ 3 }\]

Answer 26

\[2x = a = 2(\frac{ 7 \sqrt 3 }{ 3 })\]

Answer 27

\[a = \frac{ 14 \sqrt 3 }{ 3}\]

Answer 28

thank you

Answer 29

No problem. All done?

Answer 30

yes

Answer 31

Haha, it seems you already had those answers. But you wrote the values wrong for each side. Don't know how that happened xD

Answer 32

no

Answer 33

That's what you had on your paper

Answer 34

What's in bold black

Answer 35

I think you know how to do these problems. Just have to set them up correctly.

Answer 36

yea i just confused setting it up

Answer 37

If you ever need help, I am usually on around this time or a bit later.

Answer 38

ok thanks

Answer 39

There are some other cool math helpers too. Glad I could help.

Answer 40

When you do need help, just tag me or one of these guys. @Shadow @Vocaloid @563blackghost @TheSmartOne

Answer 41

ok