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djverab [1.8K]
4 years ago
6

Q5 Q24.) How far has the plane flown?

Mathematics
2 answers:
ANTONII [103]4 years ago
7 0

sin13 = 900 / c

c = 900/sin13

= 4000.87

= 4001 ft


julia-pushkina [17]4 years ago
6 0
Hello Greenrune113
 how is your day going?
so I'm, not the best at this but I will try to help u.
so l think the answer to this is.
drum roll plz.
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/
sin(13°)= 900/c

c= 900/sin(13°)



4000.870334

rounded would be like 
4001

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/

l hope this helps u

have a fantastic day 
if u need more help feel free to let me know 
and if this is not the answer plz let me know 
-toby out!  


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Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
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Therefore:
141 000 000 = 136000 000 * e ^{n*9} \\ e ^{n*9} =141000 000 /136000000 \\ e ^{n*9} =1.04

Logarithm both sides of the equation:
ln(e ^{n*9})=ln(1.04) \\ n*9*ln(e) = ln(1.04) \\ 6n=ln(1.04) \\ n = \frac{ln(1.04)}{9} \\ n = \frac{0.04}{9} \\ n = 0.004

Step 2:
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A = ?
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n = 0.004
t = 2016 - 2000 = 16
A = 141 000 000 * e ^{0.004*16} \\ A = 141000 000 * e^{0.0640} \\ A = 141000 000 * 1.066\\ A = 150306 000

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