Convert the mixed fractions into improper fractions and divide them to get them into decimals. Then see if pi is in between those numbers.
Ex: 2 3/4 = 11/4 = 2.75
Hello!
To find the slope we divide the difference of the y-values by the difference of the x-values as shown below.
The slope of our line is -3/4.
I hope this helps!
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
The secant of a circle is any line that intersects two points on the circumference of the circle.
In the given circle, the lines EF and XY intersects two points on the circumference of the circle and hence are secants of the circle.
From the answer options given, the secant line is line XY.
