Answer:
12000
Step-by-step explanation:
Answer:

Step-by-step explanation:
Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

Next we factor what we can so we can further simplify the rest of the equation:

We can now cancel out (x+2)

Next we factor out even more:

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

And we can now simplify it to:

*See attachment for the diagram
Answer:
Tan 60 = √3
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
Tan 60 = Opp/Hyp
From the diagram given,
Opp = YZ = ?
Hypotenuse = XY = 42
Find the length of YZ using Pythagorean Theorem:
YZ = √(42² - 21²) = √1,323
YZ = √(441 × 3) = 21√3
✔️Find Tan(60):
Tan 60 = Opp/Hyp = YZ/XY
Tan 60 = (21√3)/21
Tan 60 = √3
We find the length of the arc followed by the needle. For this, we first need to convert the subtended angle to radians:
96/∅ = 180/π
∅ = 1.68 rad
S = r∅
S = 24 x 1.68
Distance covered by needle = 40.32 cm