The answer would be 1/2 in fraction form or 0.5 in decimal
Answer:
Option (4)
Step-by-step explanation:
If two chords intersect outside the circle, angle formed between the chords will be half of the sum of measures of intercepted arcs.
From the given picture,

95° = 
190 = 135 + 

= 55°
Therefore, option (4) will be the correct option.
Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:

The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).
9514 1404 393
Answer:
cos(θ) = (5√74)/74
Step-by-step explanation:
The length of the hypotenuse is given by the Pythagorean theorem:
h = √(5² +7²) = √74
The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:
cos(θ) = 5/√74 = (5√74)/74