X = 66 degrees. (Co interior angles are supplementary, add up to 180)
2y + 4 = y + 7
2y - y = 7 - 4
Y = 3
Answer:
y=-x/2
Step-by-step explanation:
m=(4-1)/(-8-(-2))
m=3/-6
m=-1/2
b=y-mx
b=1-(-1/2*(-2))
b=1-1
b=0
y=-x/2
Tan (Ф/2)=⁺₋√[(1-cosФ)/(1+cosФ)]
if π<Ф<3π/2;
then, Where is Ф/2??
π/2<Ф/2<3π/4; therefore Ф/2 is in the second quadrant; then tan (Ф/2) will have a negative value.
tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
Now, we have to find the value of cos Ф.
tan (Ф)=4/3
1+tan²Ф=sec²Ф
1+(4/3)²=sec²Ф
sec²Ф=1+16/9
sec²Ф=(9+16)/9
sec²Ф=25/9
sec Ф=-√(25/9) (sec²Ф will have a negative value, because Ф is in the sec Ф=-5/3 third quadrant).
cos Ф=1/sec Ф
cos Ф=1/(-5/3)
cos Ф=-3/5
Therefore:
tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
tan(Ф/2)=-√[(1+3/5)/(1-3/5)]
tan(Ф/2)=-√[(8/5)/(2/5)]
tan(Ф/2)=-√4
tan(Ф/2)=-2
Answer: tan (Ф/2)=-2; when tan (Ф)=4/3
Doubling in size,
if the whole dish is filled in an hour (all of it)
how long does it take to fill 1/2 dish?
notice that
1/2 doubled=1/2 times 2=2/2=1 whole dish
therefor it only doubled one more time from the 1/2 point
1hour=all
1hour-6mins=1/2 dish
1hour-6mins=60-6=54 minutes
answer is 54 minutes
Answer:21-3+8=26
-14+31-6=11
Step-by-step explanation:
