TRIG HW; find missing side by using trignometry

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the above is really helpful if you don't have a brain.  :P

for 7 we only need Pythagoras's theorem, know it?

= +

out of curiosity.. does the above formula seem "impossible" ?  or does it make sense?

= +

= 144 + 256

= 400

c =

c = 20

x= 20

for 8 we do need the above list of trig functions. we want to find the Hyp x and we know an angle and the adjacent side sooo use Cos .. b/c we can see it's got those parts in it

Cos(60) = 18 / x

I'll show you the algebra we need to use to get this formula so that we can find x

A = B / x  ( this is how it looks above )

x = B / A    , now just put in the parts

x = 18 / Cos(60)  now solve it w/ your calculator..  :P Cos(60) happens to be 1/2 so you could have done this w/o your calculator   :/

x = 36

there you go,   :)

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720