The diameter of the circle is 5.4 cm. The shaded area is 180 degrees, which is 1/2 of the circle.
Calculate the area of the full circle and divide by 2.
Area = PI x r^2
r = 5.4/2 = 2.7
Area = 3.14 x 2.7^2 = 22.90
Area of shaded part: 22.90 / 2 = 11.45 cm^2.
The answer is A.
We would have the following sample space:
(1, 1), (1, 2), (1, 3), (1, 4)
(2, 1), (2, 2), (2, 3), (2, 4)
(3, 1), (3, 2), (3, 3), (3, 4)
(4, 1), (4, 2), (4, 3), (4, 4)
Those give us these sums:
2, 3, 4, 5
3, 4, 5, 6
4, 5, 6, 7
5, 6, 7, 8
P(sum of 2) = 1/16 =0.0625
P(sum of 3) = 2/16 = 0.125
P(sum of 4) = 3/16 = 0.1875
P(sum of 5) = 4/16 = 0.25
P(sum of 6) = 3/16 = 0.1875
P(sum of 7) = 2/16 = 0.125
P(sum of 8) = 1/16 = 0.0625
Answer:
5 inches
Step-by-step explanation:
the length of painting is 56/7 = 8in. to find the length of the 2nd painting divide the area by the width: 40/8 = 5
Step-by-step explanation:
We can call the original value x. In 2012, the painting's value was 1.05 x. In the beginning of 2013, the value was (1.05 x) * 0.98, and that increased to (1.05x) * 0.98 * 1.40 at the end of 2013. When we simplify, we get 1.4406 x as a value, and we know that this is equal to $52,640. We can write 1.4406x = 52640, and when we solve for x, we get x ≈ $36415.38. Hope this helps!
