Hoosier Lotto is Indiana’s main lottery game, with entry costing $2.00. Quick Pick is also available for those who wish to play with random selections. Tickets cost $2.00, with players choosing five main numbers from 1 to 60 and a Cash Ball number between 1 and 4. Cash4LifeĬash4Life is a popular multi-jurisdictional game played across nine states, which gives players the chance to win $1,000 a day (paid as $365,000 annually) for the rest of their lives, or the option to take home a $7 million lump sum. Mega Millions has an additional Megaplier option for $1.00, for the chance to multiply non-jackpot prizes by up to 10 times. Players must choose five numbers between 1 and 70 and a Mega Ball number between 1 and 25, with a Quick Pick option also being available for those wishing to play with random selections. Mega Millions is another world-renowned lottery that is even harder to win than Powerball, but with a very similar format. Players can choose their numbers manually or go for a Quick Pick, with a Power Play option also being available for $1.00 for the chance to multiply non-jackpot prizes by up to 10 times. Powerball tickets cost $2.00, with players choosing five numbers between 1 and 69 plus a Powerball number between 1 and 26. Powerball is a world-famous lottery renowned for its long odds and often lucrative jackpots. Hoosier Lottery distributes proceeds to the teachers retirement fund, police and firefighter pensions and the Lottery Surplus Fund, from which various charitable and good causes across Indiana are supported. ![]() Pythagoras's argument, like that outlined in port 2, involves reasoning from known facts rather than relying on patterns in $ 2 \$^2 $ 2 if right triangles, the argument involves finding the area of the square P Q R S P Q R S PQRS in two different ways.Officially known as the Hoosier Lottery, the Indiana Lottery was founded in 1988, with the first scratch-offs going on sale the following year and the first lottery draw taking place in 1990. Since there are infinitely many right triangles, it would be impossible to check os a a 2 + b 2 = c 2 a^2+b^2=c^2 a 2 + b 2 = c 2 for all of them. The ancient Babylonians and Egyptians also discovered special cases of the relationship. ![]() However, the oldest recorded justification is found in an ancient Chinese manuscript written more than 500 years before Pythagoras. The Greek philosopher Pythagoras is sometimes credited with first providing a general argument for why this relationship is true for all right triangles. You can also think of the Pythagorean Theorem as a statement of a relationship among areas of three squares.įor any right triangle, the area of the square built on the hypotenuse is equal to the sum of the areas of the squares built on the two legs. The Pythagorean Theorem is often used to calculate the length of the hypotenuse of a right triangle. Why is the Pythagorean Theorem true for all right triangles? Is the converse of the Pythagorean Theorem true and, if so, why? Your work on the remaining problems of this investigation will help you answer these questions: In working, you likely used a special property of right triangles-the Pythagorean Theorem. ![]() If the floor joists are set approximately 16 inches apart, to what length should the bridging be cut? Why should all pieces be cut the same length? ![]() It is generally used when floor spans are greater than 8 feet. Bridging, shown in the diagram below, provides stability between adjacent floor joists.
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