Answer:
Step-by-step explanation:
So you can use the special formula for 30-60-90 triangle or you can use the whole Soh Cah Toa thing.
I honestly prefer trig. so a is the opposite side of the 30 deg and 12 is the hyp. This should scream sine to you since sine goes with opposite/hypotenuse.
sin(30 deg)=a/12
Multiply both sides by 12
giving a=12 sin(30)
Type into calculator unless you know your unit circle well.
a=6
Answer:
y = 1/2x
Step-by-step explanation:
The slope is the rise (up) over run (left or right depending on if the number is negative) between points. So the next point on the graph is up 5 and over 10. this simplified is 1/2. Then you put this into y=mx which is y=1/2x
Answer:
.83333333 or 5/6
Step-by-step explanation:
Make common denominator
204/468 + 429/468 = 633/468 - (195/468 + 48/468)
Simplify: 633/468 - 243/468
390/468 can be further broken down to 5/6 if you divide by a common factor which is 78.
Answer:
p= 2
Step-by-step explanation:
So first you want to distribute the 6 to 3p-2 which basically means multiply
6(3p – 2) = 24
6 times 3p is 18 and 6 time -2 is -12
* remember a negative and a positive equal a negative*
18p-12=24
you want to get 18p by itself, so in order to do that you can add 12 to both sides because if you add 12 on the left side it cancels out -12 and whatever you do to one side you have to do it to the other so add 12 to 24 which is 36
18p = 36
since you want to get p by itself you divide p on both sides so it can cancel out 18 and 36/18 is 2
so p = 2
if you are wondering why i divide it and not subtract or add it is because 18 and p are stuck together so you have to divide but if it was like 18 + p you can subtract because 18 and p arent together
Answer:
22.5
Step-by-step explanation:
y=kx
20=k15
k=1•33
30=1•33x
x=22•5