Answer:
4
Step-by-step explanation:
4 is a perfect square. We can pull 2 out from under the square root symbol.
The prime factor of 12 is 2.2.3. We can pull another 2 outside of the square root symbol. 2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.
Answer:
See below.
Step-by-step explanation:
Shape A is congruent to shape <u>___F___</u>, as shown by a reflection across the y-axis and then a translation down <u>__3___</u> units. B is congruent to shape <u>__D__</u>, as shown by a reflection across the y-axis and then a translation down <u>__2___</u> units
Probability of first getting a 3 = 4/52 = 1/13
The p(getting >2) = probability of getting one of the remaining 3's or 40 other cards ( Im taking the aces to be low value) = 43/51
Required probability = 1/13 * 43/51 = 43/663
If aces are counted high it will be 1/13 * 47/51 = 47/531
=
Answer: 8/17
Step-by-step explanation: The ratio for tangent is opposite/adjacent. The side opposite from Y has a length of 8, and the side next to it has a length of 15. These are the lengths of the legs of the triangle. To find the sine ratio, you need the hypotenuse.
The hypotenuse can be found using the Pythagorean theorem. 8^2=64 and 15^2=225. 225+64=289. The square root of 289 is 17. The hypotenuse has a length of 17.
The ratio for sine is opposite/hypotenuse. Take the value of the opposite from the tangent ratio (8) and the length of the hypotenuse (17) to get 8/17.
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