bizarre love triangle2010 AMC 12A
Problem 1
1. What is ?
Solution
h2o
.
Problem 2
A ferry boat shuttles tourists to an island every hour starting at 10 AM until its last trip, which starts at 3 PM. One day the boat captain notes that on the 10 AM trip there were 100 tourists on the ferry boat, and that on each successive trip, the number of tourists was 1 fewer than on the previous trip. How many tourists did the ferry take to the island that day?
Solution
It is easy to e that the ferry boat takes trips total. The total number of people taken to the island is
Problem 3
Rectangle , p of . Square shares of . W?
boardingschool
Solution
加拿大留学条件
Solution 1
Let , le, a.
Solution 2
The answer does not change if we shift to coincide with , and add new horizontal lines to divide int
This helps us to e that an, w. H
.
Problem 4
If , t
Solution
is negative, so we can just place a negative value into each expression and find the one that is positive. Suppo we u .
Obviously only is
Problem 5
Halfway through a 100-shot archery tournament, Chela leads by 50 points. For each shot a bullye scores 10 points, with other possible scores being 8, 4, 2, and 0 points. Chela always scores at least 4 points on each shot. If Chela's next shots are bullyes she will be guaranteed victory. What is the minimum value for ?
Solution
Let be the number of points Chela currently has. In order to guarantee victory, we must consider the possibility that the opponent scores the maximum amount of points by getting only bullyes.
The lowest integer value that satisfies the inequality is .
Problem 6
A , s
are reverd. The numbers and ar
respectively. What is the sum of the digits of ?
Solution
is at most , s is . T is . However, the only palindrome between an is , which means that
mu.
It follows that is , s.teva
Problem 7
Logan is constructing a scaled model of his town. The city's water tower stands 40 meters high, and the top portion is a sphere that holds 100,000 liters of water. Logan's miniature water tower holds 0.1 liters. How tall, in meters, should Logan make his tower?
Solution
lenka怎么读The water tower holds tim
Therefore, Logan should make his tower times shorter than the actual tower. This is me.
Problem 8
the killers
Triangle ha. L and be on an, r
that . Let be the interction of gments an, a suppo that is ?
Solution
Let .
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Since , t is triangle, so
Problem 9
A solid cube has side length 3 inches. A 2-inch by 2-inch square hole is cut into the center of each face. The edges of each cut are parallel to the edges of the cube, and each hole goes all the way through the cube. What is the volume, in cubic inches, of the remaining solid?
初中生英语手抄报Solution
Solution 1
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Imagine making the cuts one at a time. The first cut removes a box . T cond cut removes two boxes, each of dimensions , a
does the same as the cond cut, on the last two faces. Hence the total volume of all cuts is .
Therefore the volume of the rest of the cube is .
