Answer:
41
Step-by-step explanation:
We can obtain the area of a triangle where two sides and an included angle is given by saying; 1/2 ab sinθ
where a and b are the given sides of the triangle and θ is the included angle.
From the formula for the area of the triangle;
Area of a triangle = 1/2 ac sin B
Area of the triangle = 1/2 * 9 * 11 * sin 124
Area of the triangle = 49.5 * sin 124
Area of the triangle = 41
Answer:
6 X2 6X-72
Step-by-step explanation:
Answer:Two-column, paragraph, and flowchart proofs are three of the most common geometric proofs. They each offer different ways of organizing reasons and statements so that each proof can be easily explained.
Step-by-step explanation:
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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