Solve for y 3x+1/5y=7
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Using the given information, the width of the river is 505.96 m
<h3>Bearing and Distances</h3>From the question, we are to determine the width of the river
Consider the given diagram,
Let F be the first position of the biker
S be the second position
and C be the position of the church
First, we will determine the distance covered from F to S
Speed = 160m/min
Time = 4 minutes
Using the formula,
Distance = Speed × Time
Distance covered = 160 × 4
Distance covered = 640 m
That is, /FS/ = 640 m
Now, consider ΔFSC
∠F = 90° - 70° = 20°
∠S = 90° + 56° = 146°
and ∠C = 180° - 20° - 146° = 14°
By the Law of Sines
∴
/FC/ = 1479.33 m
Now,
By SOH CAH TOA
NOTE: d is the width of the river
∴ d = /FC/ × cos70°
d = 1479.33 × cos70°
d = 505.96 m
Hence, the width of the river is 505.96 m
Learn more on Bearing and distances here: brainly.com/question/19351991
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This equation is known as the equation for exponential growth/decay:
Since the car is worth no more than $1,900 when bought, we can rewrite the above equation as:
<u>a is the initial value, and b is the growth factor, x is the </u><u>amount of</u><u> time that passes.
</u>So, we can plug in all that information (it's negative because the car's value goes <em>down</em>):
<u>
</u>That's your final answer^.<u>
</u>
Since the car is worth no more than $1,900 when bought, we can rewrite the above equation as:
<u>a is the initial value, and b is the growth factor, x is the </u><u>amount of</u><u> time that passes.
</u>So, we can plug in all that information (it's negative because the car's value goes <em>down</em>):
<u>
</u>That's your final answer^.<u>
</u>