Wednesday
June 19, 2013

# Posts by Wayne

Total # Posts: 120

math
Did you draw a picture? The distance between opposite corners of the walking path (rectangle, in this case) would be the hypotenuse of a right triangle. Thus, we can use the Pythagorean Theorem: HYP^2 = leg^2 + leg^2 Let x = length; 7x = width, so HYP^2 = x^2 + (7x)^2 HYP^2 = ...

math
Is this written correctly? Usually the height is longer than the width! Again, draw a picture. Another right triangle. Let x = height; let 2x = width. Using Pythagorean Theorem: hyp^2 = x^2 + (2x)^2 hyp^2 = x^2 + 4x^2 hyp^2 = 5x^2 take square root of each side: hyp = x * sqrt(5)

Math
Cynthia. Find the unit rate of each. 15 / 12 = 1.25 miles per minute. 26 / 20 = 1.3 miles per minute. The 1.3 is faster which means will arrive first.

math
There is a formula, called the standard future value formula: 54 * (1 + .025)^10 = future value = \$69.12

math
Today it costs \$54 to fill tank. In one year (per cent increase problem): (x - 54)/54 = .025, so x = \$55.35 in the next year: (x - \$55.35)/\$55.35 = .025, so x = \$56.73 Do this 8 more times, and you will get your answer: \$69.12 I used an Excel worksheet to generate the answer. ...

ALGEBRA!....
I mean 23^2 + 96 = 25^2

ALGEBRA!....
Got it! Initial population is 23^2, which = 529. 23^2 + 48 = 577 = 576 + 1, so 23^2 + 48 = 24^2 + 1, and 23^2 + 96 = 625, so 23^2 = 25^2 Did it by exhaustion with Excel. Check back later if I can do it algebraicly!

Math: Finding m<A
def of similar triangles: corresponding angles are equal. I always draw a picture. angle A = angle D = 45'

Geoometry Help: Find EF
You'll get there!

Geoometry Help: Find EF
EF = 32 Corresponding sides of similar triangles are proportional. Draw a picture. Make a proportion: 36/24 = 48/EF

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