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My name is Ann [436]
3 years ago
8

In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does

the ball need to travel if it is thrown from home plate directly to second base?
A.
90 feet
B.
127.3 feet
C.
135.7 feet
D.
180 feet
Mathematics
1 answer:
juin [17]3 years ago
5 0

to find the diagonal of a square ( which is the shape described)

Diagonal = square root (s^2x2)

so square root of (90^2 x 2)

= square root of (16200) = 127.28 round to 127.3

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So the rule is a^{2} +b^{2} =c^{2}, "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

                                               x^{2} +x^{2} =(8\sqrt{2})  ^{2}

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

<em>simplify</em> (╥︣﹏╥)    

                                                2x^2=8^2(\sqrt{2} )^{2}  

                                                  2x^2=64(2)

                                                   2x^2=128    

                                                  x^{2}= 128/2  

                                                     x^{2} =64

                                                        x=8      

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

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        The more you do these, the easier they'll get, so don't worry!

                           

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