A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?      i dont get this stuff plz help step by step for me
211457
Draw a picture of a square with length 90, representing the bases.  The diagonal represents first to third base; call it x.  By Pythagorean Theorem,\n\nx^2 = 90^2 + 90^2\n\nx^2 = 16200\n\nx = 127.3
264594
The situation might change. For instance, if there is only one runner on third base and the pitcher balks, there is suddenly nobody on base. There isn't much reason to intentionally walk a guy at that point. Other than that, I can't really imagine a time when you might do this.
326252
your question doesn't make sense and is unclear - can you clarify it and then maybe i can help you?\n\ni got that a 100ft tower is erected, but is 100ft the actual length of it or the vertical distance it covers?  or is the tower erected straight vertically?  or normal to the hill? and the two wires (i assume you mistyped "guy")?  i don't really get it...
301879
crackman's answer is right...he used the cosine law to get the third distance..\n\ndistance^2=85^2+102^2-2(85)(102)(cos85)\nget rid of the square by getting the square root of the right side of the equation....that's how he got it...
170187
90 feet is the distance from home plate to first base or the distance from the 30 yard line to the goal line.  100 feet is the distance a car travelling 35 miles per hour covers in two seconds.  Carl Lewis ran the 100 meter dash in 9.86 seconds, so 100 feet is about as far as Carl Lewis could run in three seconds.  100 feet is about 2/3rds the length of an olympic sized swimming pool.  The standard shipping containers that you see being hauled by railroad cars are 53 feet, so 100 feet is almost twice that long.
449015
let x be the length of the square base, and y be the height.\nGiven x^2 * y = 32000\nAssuming same thickness of the material, \nArea of the box, A = x^2 + 4xy = x^2 + 4x * (32000/x^2)\n= x^2 + (4*32000)/x\n\nTo minimize the material used means to minimize A.\nSo, find what value is x when dA/dx = 0\n2x - (4*32000)/x^2 = 0\nx = cuberoot(4*32000/2)\nx = 64000^(1/3) = 40\nIs this a minimum turning point for A? check d(dA/dx)/dx when x = 40.\nd(dA/dx)/dx = 2 + (2*4*32000)/x^3, thus when x = 40, d(dA/dx)/dx > 0, thus at x=40, A is minimum.\nFind y, y = 32000/x^2 = 32000/1600 = 20\nTherefore, the box's dimension is 20 x 40 x 40.
549986
In Major League Baseball, the field dimensions are:\n90' between the bases\n60' 6" from pitching rubber to home plate\n127' 3 3/8" from 1st to third or 2nd to home\nPitchers mound - 18' diameter\nOutfield fences and seats vary from park to park
157620
Well, now dummy, let's think this one through.  First, let's divide the sucker by 12 and see what we get.\n\n495.923 / 12 = 41.3296 feet\n\nSo, we see it is 41 feet plus a tad more, almost a third of a foot as a matter of fact.\n\nNow how many inches is .3296 foot?\n\nWell, 1 inch divided by 12 = 0.0833, so each inch is .0833 of a foot.\n\nSo, .3296 / .0833 = 3.95 inches\n\nNow we have it narrowed down to 41 feet, 3.95 inches.\n\nYou should realize that 95/100 of an inch would be 19/20.\n\nSo if you want all fractions it is 41 feet 3 and 19/20 inches.\nThis is the same as 41 feet 3.95 inches\n\nThere is probably an easier way to figure this out but I just go through things logically.  You could figure this out too if you didn't spend so much time playing stupid video games.
640913
This is not the correct answer.  While the shortest between two points is a straight line, the distance between 4 points is not.  Actually, there is a principal which is referred to as Steiner Points.  This is applicable in this situation.  Two Steiner points (P) are placed inbtween points ABC and D.\n\nImaging a Y, except with a triangle, similar to the upper portion of the Y attached to the bottom of the Y.  Essentially, you would have a triangle connecting points A and B and one connecting C and D.  However, their height is only 2.9 Miles as opposed to 5 miles.  The remaining 4.2 mile gap would be connected with a straight line between each triangles point.\n\nThe two diagonal lines of the triangles would be 5.78 miles, or 23.12 miles for all four.  Now you add in the 4.2 mile straight line, for a total ROAD distance of 27.32 Miles.
641246
well first you want to stand on the left side of the plate if you're a righty and the right side if you're a lefty.  You want the bat in between your head and the catcher, which is the guy behind you, the big part of the bat is up high, the small part is hopefully the side your hands are on.  You want to spread your legs approximately 2-2 1/2 feet, bend your knees, and look at the pitcher.  When the ball is getting close, take a small step foward with your front let (the one closer to the pitcher, the guy throwing the ball) in a motion turn your hips and bat and keep you're eye on the ball until you make contact, then run to first, the base to the right of the catcher, the guy behind you.
529899
write the fraction you need \n\nhow many feet in two miles......\nmiles on one side of eq ..... feet on other ....\nso use conversion that has feet in numerator\n2 (miles)  *    (5280 feet) / mile  .......  the miles cancel and you're left with 2 * 5280 feet \n\n\nhow many feet in 6 yards .....  ( conversiion has feet in numerator)\n6 yds  =  (3 feet) / yard   .....  yards cancel and you're left w/ \n6 * 3  feet
330710
1) 10 yards= 30 feet\n2) 1 min. to move 6 feet, so\n3) 30 feet divided by 6 min. = 5 minutes
339208
Well rim is 10' off the ground, do the math!\nOh, and take into account that you have to palm the ball, so subtract about 10" or so from your pathetic little 7'6" reach, and there ya go.
508155
You have to use the Pythagorean Theorem.  It says the lengths of the two short sides of a right triangle squared, then added together, equal the length of the long side squared.  Picture a triangle on your sheet of graph paper.  One leg goes from point P straight left to 2,4.  The second goes from 2,4 straight down to Q.  The third connects P and Q and is the longest of the three legs.  The length of the first leg is 2.  The length of the second is 5 (or -5 if you like; it doesn't matter since we're fixing to square it).  The lengths squared are 25 and 4.  So the distance between P and Q squared is 29.  The distance is root(29), which is 5.385.  That's your answer.
418748
~multiply the distance between first base and home plate by itself, then multiply the distance between second base and first base by itself and add the two products together.  The square root of the result is equal to the distance between home plate and second base.  Or so says Pythagoras.  It's like, you've got nine Indian children  on a tiger skin, sixteen on a lion skin and five Indian women on a hippopotomus skin.  The squaws on the hippopotomus is equal to the sons of the squaws of the other 2 hides.
170034
The find the lower bound on a/b, you want to find the smallest possible distance a for any fixed short distance b. The closest possible way to fit 2 towns together is just b apart. The closest way to fit a 3rd town is to make an equilateral triangle. The closest way to fit the next 3 towns is to make 3 more equilateral triangles on each side of the first one, resulting a larger equilateral triangle of each side length 2b. The longest road between 2 towns (without another in between) is from one vertex of the triangle to the town in the middle of the opposite side. This makes a right angled triangle with hypotenuse length 2b and a side of length 1b. Use pythagoras' theorem to prove the other side, a, is equal to root 3 times b, and hence a/b is equal to root 3.
315929
wow guinevere kate, i didn't know you were proud of me. lol. see you at practice!\n\nfor those who didn't understand:\ni made the batter walk so by doing this, he can only go to the first base. if you have to take the walk, you are only allowed to go to the next base...nowhere else. the game doesn't and with him taking the walk...there are a lot of oppurtunities to tag him throughout the game.