The perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have shown a square in which a one-fourth circle is shown and making an ellipse.
The perimeter of the circle = 2πr = 2π(8) = 16π cm
The perimeter of the one-fourth is circle = (16π)/4 = 4π cm
The perimeter of 2 one-fourth circle = 2(4π) = 8π cm
The area of the one-fourth circle = (1/4)πr² = (1/4)π(8)² = 16π square cm
The area of the right-angle triangle = (1/2)(8)(8) = 32 square cm
The area of the shaded region = 2(16π - 32) = 36.53 square cm
or
= 32(π - 2)cm²
Thus, the perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
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Answer:
Explanation:
You can find the theoretical probability of the event "the sum of the numbers is at least 4".
The theoretical probability is:
- number of positive outcomes / number of possible outcomes.
<u>1. Number of positive outcomes.</u>
The number of positive outcomes is the amount of ways for which the sum of the numbers is at least 4.
Those are:
- Sum = 4: (1,3); (2,2), (3,1) → 3 ways
- Sum = 5: (1,4), (2,3), (3,2), (4,1) → 4 ways
- Sum = 6: (1,5), (2, 4), (3, 3), (4, 2), (5,1) → 5 ways
- Sum = 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 ways
- Sum = 8: (2,6), (3,5), (4,4), (3,5), (2,6) → 5 ways
- Sum = 9: (3,6), (4,5), (5,4), (6,3) → 4 ways
- Sum = 10: (4,6), (5,5), (6,4) → 3 ways
- Sum = 11: (5, 6), (6,5) → 2 ways
Thus, the total number of ways to have a sum of at least 4 is: 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 33.
<u>2. Number of possible outcomes</u>
The total number of possible outcomes is found by multiplying the ways each die can be rolled, this is: 6 × 6 = 36.
<u>3. Probability</u>
Then, the searched probability is 33/36 = 11/12 ≈ 0.92
Answer:
to find for one divide 9 dollars 60 pounds by 3 to get the coast of one candy
Yes, all fractions could be written in a repeating decimal.
Answer:
6.21 times more
Step-by-step explanation:
Assuming 2.04 x 10^11 was only a typo
you would need to first equal the powers of 10
so 20.4 x 10^10 and 3.28 x 10^10
now that they have the same powers
if it's asking for how many times i would approximate it to 6.21 times more
