The arc length is the product of the angle measure in radians and the radius.
... s = r·θ
So, the angle in radians is the ratio of arc length to radius.
... θ = s/r
To convert from radians to degrees, multiply by the conversion factor 180°/(π radians).
... y = s/r·(180°/π)
Then the angle is between
... 15/20·180/π ≈ 42.97
and
... 16/20·180/π ≈ 45.84
Suitable integers in this range are 43, 44, and 45.
One possible integer value of y is 44.
Answer:
MN = 68
Step-by-step explanation:
LN = 91
LM = 23
Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:
LM + MN = LN
23 + MN = 91 (Substitution)
Subtract 23 from both sides
23 + MN - 23 = 91 - 23
MN = 68
Answer:O 10-9 -0.6 -0.05
Step-by-step explanation:Hope it help
Answer:
b=4.9
C. is the correct option.
Step-by-step explanation:
In triangle TGN,
Let <RTG be x
cosx= b/h
or, cosx = 2/a
Again,
In triangle TRG,
cosx = b/h
(for bigger right angled triangle)
cosx = a/(4+2)
cosx = a/6
Now
cosx = 2/a = a/6
or, 2/a = a/6
or, 12 = a²
so, a² = 12
Now,
For TRG,
h² = p²+b²
or, 6² = b² + a²(a²=12)
or, 6² = b² + 12
or, 36 = b² + 12
or, 36 -12 = b²
or, b² = 24
or, b = square root 24
so, b = 4.8989
so, b = 4.9
Solution:
1) Simplify \frac{1}{6}x to \frac{x}{6}
y=\frac{x}{6}-2
2) Add 2 to both sides
y+2=\frac{x}{6}
3) Multiply both sides by 6
(y+2)\times 6=x
4) Regroup terms
6(y+2)=x
5) Switch sides
x=6(y+2)
Done!
