Answer:
No real solutions.
Step-by-step explanation:
729s^-5 = 729/s^5
729/s^5 = 3^2(1-s) = 9(1-s)
729=9(1-s)(s^5)
(1-s)(s^5)=81
s^5-s^6=81
Because 81 > 0 this means s^6 must be less than s^5. This is never possible as 6 is even so is always positive and is always greater in magnitude than s^5. The only time this isnt the case is when s is a decimal less than 1, but then the difference would be also less than 1 and not 81.
Answer:
∠B ≈ 30.0°
Step-by-step explanation:
The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.
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sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) . . . . solve for sin(B)
sin(B) = (14/28)sin(91°) ≈ 0.49992385
The angle is found using the inverse sine function:
B = arcsin(0.49992384) ≈ 29.99496°
Rounded to tenths, the angle is ...
m∠B ≈ 30.0°
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<em>Additional comments</em>
Many triangle solver apps and web sites are available if all you want is an answer.
When using your calculator, be sure the angle mode is set to "degrees."
The Law of Sines can also be used to solve a triangle when two angles and one side are known.
Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,

Substituting
,
and 
Hence, we get,

Simplifying, we have,

Multiplying both sides by 41, we have,

Rounding off to the nearest integer, we have,

Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.
Answer:
it is 4
Step-by-step explanation:
i will do this some other time