Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
The equation of a circle is: (x - h)² + (y - k)² = radius² where (h, k) is the center. Now just plug in your given information and simplify.
(x - 2)² + (y - 0)² = 9²
Your equation is:
(x - 2)² + y² = 81
Answer:
its d
Step-by-step explanation:
the options can be eliminated by using common sense.
Answer:
C is the answer
Step-by-step explanation:
First find the area of the circle -
Use pi times r^2
Since the answers are in pi form, we just need to do the "r^2" part. 3 is the radius, so 3 x 3 = 9. Now that we have found the area of the circle, we will need to multiply the area of the circle by the height of the cylinder. (9pi)(9) = 81pi cubic units. 81pi cubic units is the answer.
Answer:
If they are both red, 7/22
If both blue, 1/22
Yellow, 1/66
Step-by-step explanation:
7/12 times 6/11 (both decrease by one because there is no replacement)
3/12 times 2/11
2/12 times 1/11