They tricked me into signing into this site to get the answer, oonly to find out they didnt have it answered, click b8
Answer:
k=0
Step-by-step explanation:
3k+6-3=3
3k = 3+3-6
3k = 6-6
3k = 0
k = 0
The 30º-60º-90º triangle is a special case you'd do well to remember, because the legs always occur in the same ratio to one another. As your picture shows (I'm guessing "SL" stands for short leg?), the sides labeled 4, y and x occur in a ratio of 1 to √3 to 2.
This means
sin(30º) = SL/(2*SL) = 1/2
tan(30º) = SL/(√3*SL) = 1/√3
(and also cos(30º) = (√3*SL)/(2*SL) = √3/2, though you don't really need that here)
So in this triangle, x and y satisfy
sin(30º) = 4/x
tan(30º) = 4/y
This comes straight from the definitions of sine and tangent. Then
4/x = 1/2 ==> x = 8
4/y = 1/√3 ==> y = 4√3
If you want to leave a 15% tip, use the fact that 15% = 10% + 5%. Calculate 10% of the bill by moving the decimal point one position to the left. Then, take that number, divide it in half, and add the new amount to the original 10%