Mathematics
Juila12001:

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

1 year ago

#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 $\frac{ 4 \sqrt 3 }{ 2 } = y$

1 year ago

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

1 year ago

Remember that $\sqrt x \times \sqrt x = x$

1 year ago

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.

1 year ago

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

1 year ago
Juila12001:

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

1 year ago

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

1 year ago
Juila12001:

then where did the 6 come from

1 year ago

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

1 year ago

Do you understand?

1 year ago
Juila12001:

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

1 year ago
Juila12001:

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

1 year ago

$x = (\frac{ 4 \sqrt 3 }{ 2 }) \sqrt 3$ $y = \frac{ 4 \sqrt 3 }{ 2 }$

1 year ago

x also equals 6

1 year ago

6 is better though, since it's simplified.

1 year ago
Juila12001:

so x is 6?

1 year ago

yus

1 year ago
Juila12001:

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

1 year ago

nope

1 year ago

All good?

1 year ago

Or is there another one you need help with?

1 year ago
Juila12001:

can check if 8 is correct

1 year ago

|dw:1521605137106:dw|

1 year ago

This means: |dw:1521605198277:dw|

1 year ago

So we can do $7 = x \sqrt 3$ $\frac{ 7 }{ \sqrt 3} = x$ $\frac{ \sqrt 3 }{ \sqrt 3 } \times (\frac{ 7 }{ \sqrt 3 }) = x$ $\frac{ 7 \sqrt 3 }{ 3} = x$

1 year ago

$x = b = \frac{ 7 \sqrt 3 }{ 3 }$

1 year ago

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

1 year ago

$a = \frac{ 14 \sqrt 3 }{ 3}$

1 year ago
Juila12001:

thank you

1 year ago

No problem. All done?

1 year ago
Juila12001:

yes

1 year ago

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

1 year ago
Juila12001:

no

1 year ago

1 year ago

What's in bold black

1 year ago

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

1 year ago
Juila12001:

yea i just confused setting it up

1 year ago

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

1 year ago
Juila12001:

ok thanks

1 year ago

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

1 year ago

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

1 year ago
Juila12001:

ok

1 year ago