Answer:
A
Step-by-step explanation:
We are given:
Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):
So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.
And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.
Cosecant is given by the hypotenuse over the opposite side. Thus:
Since θ is in QIII, cosecant must be negative:
Our answer is A.
So these are basically isolating the variables.
The first equation is 3g + 5 =17.
In order to isolate the variable, we would have to get g by itself, that means 5 would have to go. In order to do this, we would do the opposite. Since it is positive 5 we would add negative 5, in order for it to disappear. This works because a positive 5 and negative 5 cancel each other out. Whatever you do to one side of the equation you have to do to the other, since we subtract 5 on one side we have to subtract 5 on the other. Therefore we would do 17-5.
Now we have 3g=12
We know that 3g is basically 3 multiplied by g. The opposite of multiplication is division.Therefore we would divide by 3 on both sides.
The answer to the first question would be g= 4.
And if you want to check if your answer is correct you plug the value in.
So
3(4) + 5 =17
Answer:
There are 180 degrees in a triangle so it is 80 degrees
12 3/8 ÷ 3/4
change the mixed fraction to improper....
99 3
__ ÷ __
8 4
now change the sign to a multiplication sign and flip 3/4.
99 4 396
__× __= _____
8 3 24
396/24..... that changes to 16 22/24. Simplify it and it will be 16 11/12.