SOLUTION: 1.The ratio of the surface area of two pyramids is 9:49. What is the ratio of the volumes? 2.If the hypotenuse in a 30-60-90 triangle is 18, then the length of the short leg

Algebra ->  Surface-area -> SOLUTION: 1.The ratio of the surface area of two pyramids is 9:49. What is the ratio of the volumes? 2.If the hypotenuse in a 30-60-90 triangle is 18, then the length of the short leg      Log On


   

Question 84981: 1.The ratio of the surface area of two pyramids is 9:49. What is the ratio of the volumes?


2.If the hypotenuse in a 30-60-90 triangle is 18, then the length of the short leg is?
a. 12.73
b. 10.39
c. 36
d. 9
Answer by Nate(3500) About Me  (Show Source):
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1.The ratio of the surface area of two pyramids is 9:49. What is the ratio of the volumes?
Ratio of Surface Areas: a^2 : b^2 or 9 : 49
a = 3
b = 7
Ratio of Volumes: a^3 : b^3 or 27 : 343
2.If the hypotenuse in a 30-60-90 triangle is 18, then the length of the short leg is?
a. 12.73
b. 10.39
c. 36
d. 9
The shorter length is opposite the 30 degree angle ... geometrical theory states that the length of that leg is half the hypotenuse.
1/2 * 18 = 9
(d.)