From 11:30 to 16:30 is 5 hrs
Answer:
2.08333333333
Step-by-step explanation:
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Answer:
X = 89.92° or 90.08°
Step-by-step explanation:
The law of sines can be used to find the value of angle X:
sin(X)/26 = sin(67.38°)/24
sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787
There are two values of X that have this sine:
X = arcsin(0.99999901787) ≈ 89.92°
X = 180° -arcsin(0.99999901787) ≈ 90.08°
There are two solutions: X = 89.92° or 90.08°.
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<em>Comment on the problem</em>
We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.
The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...
arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°
This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.
The length is determined by multiplying the number of balls with the diameter. The answer that would come out of this is in units of centimeters.
L = (6.02 x 10^23 balls)(4 cm/ball)
L = 2.408 x 10^24 cm
Then, we use the proper conversion factor to convert centimeter to kilometer.
L = (2.408 x 10^24 cm)(1 m/100 cm)(1 km/1000 m)
L = (2.408 x 10^24)(10^5)
The answer to this item is 2.408 x 10^19 km.
Answer:
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