Answer:
56/65
Step-by-step explanation:
First, we know that cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
We know what sin(a) and sin(b) are, and to get cos(a), we can take the equation sin²a + cos²a = 1
Thus,
(12/13)² + cos²a = 1
1 - (12/13)² = cos²a
1- 144/169 = cos²a
cos²a = 25/169
cos(a) = 5/13
Similarly,
(3/5)² + cos²b = 1
1 - (3/5)² = cos²b
1 - 9/25 = cos²b
cos²b = 16/25
cos(b) = 4/5
Our answer is
cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
cos(a-b) = (5/13)(4/5) + (12/13)(3/5)
cos(a-b) = 20/65 + 36/65
cos(a-b) = 56/65
Answer:
A
Step-by-step explanation:
An ordered pair is a point on a coordinate graph that represents data. The x represents an independent variable and the y a dependent. Your y is your vertical axis. Each square on this graph represents 50 feet. The line on your graph hits the intersection between 2 minutes and 100 feet. Therefore (2,100) Is an ordered pair
So to find how many tenths, or 1/10's, there are in four fifths, or 4/5, divide 4/5 by 1/10.

Now, remember that <u>dividing by a number is equivalent to multiplying by its reciprocal</u>. To find the reciprocal, just flip the numerator and denominator around. In this case, 1/10 would become 10/1. Flip 1/10 to its reciprocal, change the sign to multiplication, and multiply numerators with numerators and denominators with denominators:

<u>In short, there are 8 tenths in four fifths.</u>
Answer:
Answer: liquidity ratio-current ratio
Asset management ratio-total asset turnover ratio
Debt management ratio-leverage ratio
Profitability ratio-return on equity
Market value ratio-PE ratio
Step-by-step explanation:
PLATO