<h3>
Answer: 9/41</h3>
==========================================================
Explanation:
We have a triangle with these three sides.
Use the pythagorean theorem to find b
a^2+b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(82^2 - 80^2)
b = sqrt(324)
b = 18
This is the missing vertical leg of the triangle. And this is also the side opposite angle C.
We have enough information to compute the sine of the angle.
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 18/82
sin(C) = (9*2)/(41*2)
sin(C) = 9/41
Answer:
$12,714
Step-by-step explanation:
Loan Amount=$30,000
Monthly Payment =$355.95.
Number of Payment Period = 10 Years X 12 Months =120 Months
Total Payment to be made by Austin =120 X 355.95=$42,714
Therefore:
The interest Austin will pay=Total Payment-Loan Amount
=$42,714-30,000
=$12,714
Answer: −5
Step-by-step explanation:
simplify: (−5)
Re-order terms so constants are on the left:
(−5)f(−5)−5
Answer:
A, dilation by a scale factor of 2 and a reflection across the y-axis
Step-by-step explanation:
Answer:
---------------------------
<h3>Given equations</h3>
- v + 8w = 4v and - m + 5n = - 2
<h3>Solve the first equation for v</h3>
- v + 8w = 4v
- 4v - v = 8w
- 3v = 8w
- v = 8w/3
<h3>Solve the second equation for n</h3>
- - m + 5n = - 2
- 5n = m - 2
- n = (m - 2)/5
