Answer:
How far did the ship travel between the two observations of the lighthouse = 9.29
Step-by-step explanation:
the first step to answer this question is drawing the illustration as the attachment.
P is the ship, R is the light house and Q is the bearing.
PR is the distance between the ship and the light house, PR = 10.5
∠P = 42.8°, ∠Q = 59.7°
Thus, ∠R = 180° - ∠P - ∠Q
= 180° - 42.8°- 59.7°
= 77.5°
PQ is the the distance of the ship moving. We can use the sinus equation
= 
= 
PQ = (
)(sin 59.7°)
= 9.29
52.94% of the viewers prefer videos on a mobile or laptop device
<h3>How to determine the percentage?</h3>
The given parameters are
Viewers that prefer videos on a mobile or laptop device = 18
Total number of viewers = 34
The percentage of voters in this category is then calculated as
Percentage = 18/34 * 100%
Evaluate the expression
Percentage = 52.94%
Hence, 52.94% of the viewers prefer videos on a mobile or laptop device
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You would have to find the area of each side and add it all together if you were to solve it out it would be 45+25+32+25+35+35=394
The fraction of the cake that was ron's pieces is 1/5.
<h3>What is the fraction of the cake was ron's pieces?</h3>
Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
Since Mrs Jones gave 1/5 of a cake to her neighbour, the remaining fraction will be:
= 1 - 1/5
= 4/5
The fraction of the cake that was ron's pieces will be:
= 2/(1+3+4) × 4/5
= 2/8 × 4/5
= 8/40
= 1/5
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