Answer:
tan(9pi/12) = 0.041146549
Step-by-step explanation:
Answer:
Equation for the area of a circle- π r²
The 2 radiuses are 6 and 9.
6 squared is 36 and 9 squared is 81.
The smaller one is 36π and the larger one is 81π.
The difference between them is the area of the shaded region.
81π - 36π = 45π
Use 3.14 for π.
45 x 3.14 = 141.3 u²
Hope this helps!
Answer:
<em>-90 degrees</em>
Step-by-step explanation:
Draw a segment from the origin, point O, to point R. Draw a segment from the origin, point O, to point R'. The angle of rotation is the angle between segments OR and OR'.
The slope of segment OR is 2/3.
The slope of segment OR' is -3/2.
The slopes are negative reciprocals, so the segments are perpendicular.
The angle between the segments is 90 degrees. The rotation is counterclockwise, so it is a negative number of degrees.
The angle of rotation is -90 degrees.
Answer:
13
Step-by-step explanation:
500 - 302=198
198 divided by 15 = 13. 2 round down to 13. 13 guests.
Answer:
Step-by-step explanation:
We have to use the slope formula: m = slope
(x1, y1) = coordinates of the first point in the line
(x2, y2) = coordinates of the second point in the line
Here, we'll plug into our given points to give; 
Solving this, we get, 
, but we're not done, as this fraction can be reduced.
Diving both sides of the fraction by 2, we get our final answer of .
