Answer:

Step-by-step explanation:
Based on the given conditions, write: 
Find common denominator and write numerators above common denominator: 
Calculate the sum or difference: 
Divide the fraction by multiplying its reciprocal: 
Calculate the product or quotient: 
Answer:
Answer: The last option, <u>28</u> minutes
Step-by-step explanation:
See attached for my work. <em>If you are color blind let me know, I color-coded where I "pulled" numbers from.</em>
To answer this problem, we can look at the graph. We need to see for how long the black line is above the blue.
To solve this problem, we can use the tan function to find
for the distances covered.
tan θ = o / a
Where,
θ = angle = 90° - angle of depression
o = side opposite to the angle = distance of boat from
lighthouse
a = side adjacent to the angle = height of lighthouse = 200
ft
When the angle of depression is 16°18', the initial distance
from the lighthouse is:
o = 200 tan (90° - 16°18')
o = 683.95 ft
When the angle of depression is 48°51', the final distance
from the lighthouse is:
o = 200 tan (90° - 48°51')
o = 174.78 ft
Therefore the total distance the boat travelled is:
d = 683.95 ft - 174.78 ft
<span>d = 509.17
ft</span>
Using a system of equations, it is found that £52 was originally shared.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: Angela's share.
- Variable y: Michelle's share.
- Variable z: Daniel's share.
Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:
.
Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:



30t = 20 x 78
t = 20 x 78/30
t = £52.
More can be learned about a system of equations at brainly.com/question/24342899
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