The trigonometric ratio will be Cos(n)=12/13
<h3>What will be the trigonometry ratio?</h3>
Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.
Given are the sides LM = 15, MN = 36, and LN = 39.
It says to find cos(n) = ?
So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.
We know that the cosine ratio is given by :-
Hence the required ratio will be
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The time it will take the principal to grow to the desired amount is 0.7 years
Using the compound interest formula :
A = P(1 + r/n)^(nt)
A = final amount = 225,000
P = principal = 180,000
r = rate = 3.12%
n = Number of compounding times per period = 12(monthly)
t = time
225000 = 180000(1 + (0.0312 /12))^(12t)
Divide both sides by 180000
225000/180000 = (1 + (0.0312 /12))^(12t)
1.25 = 1.026^12t
Take the log of both sides
0.0969100 = 0.0111473 × 12t
0.0969100 = 0.1337676t
Divide both sides by 0.1337676 to isolate t
0.0969100 / 0.1337676 = t
0.7244 years
0.7 years
It will take 0.7 years for the amount to grow
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Answer:
Hours spent for snowboarding = 1 hour 35 minutes
Step-by-step explanation:
Total hours spent for skiing and snowboarding = 3 hours
Hours spent for skiing = 1 hours 25 minutes
How long did he spend snowboarding?
Hours spent for snowboarding = Total hours spent for skiing and snowboarding - Hours spent for skiing = 1 hours 25 minutes
= 3 hours - 1 hours 25 minutes
1 hour = 60 minutes
3 hours = 180 minutes
1 hours 25 minutes = 85 minutes
3 hours - 1 hours 25 minutes
= 180 minutes - 85 minutes
= 95 minutes
95 minutes = 1 hour 35 minutes
Hours spent for snowboarding = 1 hour 35 minutes
64
4 x 10 = 40
4 x 6 = 24
(40)+(24) = 64
Answer:
c and a are the correct answers
