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Two Math Q from Prep, Please help me out

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楼主
发表于 2009-8-21 09:37:00 | 只看该作者

Two Math Q from Prep, Please help me out

I am confusing the following two math questions from Prep Practice Test. If anyone know how to sovle them, please help me out. Many thanks.

1. The perimeter of a certain isosceles right triangle is 16 + 16*square root 2, what is the length of the hypotenuse of the triangle?

A. 8

B. 16

C. 4*square root 2

D. 8*square root 2

E. 16*square root 2

2. When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?

A. 3/10

B. 2/5

C. 1/2

D. 2/3

E. 6/5

沙发
发表于 2009-8-21 09:49:00 | 只看该作者
1. 设等腰直角三角形的斜边为x: x+2*(square root 2)/2=16 + 16*square root 2 x=16
板凳
发表于 2009-8-21 09:52:00 | 只看该作者
2. 4+6x=(1+1/5)(4+4x)   x=2/3
地板
发表于 2009-8-21 09:53:00 | 只看该作者
1.设直角边长x:(2+(根号2))x=16+16(根号2),因为这是直角等腰三角形,所以斜边就是(根号2)X.
解得(根号2)X=16,选B

2.设每年长X英尺,第六年后的高度为:4+6x,第四年后的高度为4+4x,两者相减得2x,由题目知2x=(1/5)(4+4x)
解得x=2/3 选D
5#
发表于 2009-8-21 10:00:00 | 只看该作者

一:

1:  2*X^2=Y^2

2:  2X+Y=16+16*square root 2

SO:y=16 CHOOSE:B

二:

the height of the tree increase each year is x,so

(4+6x)=(1+1/5)(4+4x)

x=2/3  chooseD

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