What's the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius? Round your answer to the nearest whole number. A. 905mm2 B. 3167mm2 C. 4524mm2 D. 2715mm2
The lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius is 4524 mm^2. [ LA = 2pi(rh) ; LA = 2 pi (r * 5r) ;LA = 2 * 3.14 * 5r^2 ; LA = 2 * 3.14 * 5 * 12^2 = 2 * 3.14 * 5 * 144 = 4524 mm^2
Updated 8/18/2022 10:09:59 AM
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The lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius is 4524 mm^2. [ LA = 2pi(rh) ; LA = 2 pi (r * 5r) ;LA = 2 * 3.14 * 5r^2 ; LA = 2 * 3.14 * 5 * 12^2 = 2 * 3.14 * 5 * 144 = 4524 mm^2

If the areas of two similar hexagons are to each other as 5 : 2, and one side of the first hexagon is 25, what is the corresponding side in the other hexagon?
Updated 8/30/2020 8:10:46 AM
If the areas of two similar hexagons are to each other as 5 : 2, and one side of the first hexagon is 25, The corresponding side in the other hexagon is 15.8. Area of a hexagon is given by (3sqrt(3) / 2) x a^2. 25^2 : x^2 = 5 : 2 625 / x^2 = 5 / 2 x^2 = (625 x 2) / 5 = 250 x = sqrt(250) = 15.8
A right triangle has the hypotenuse c = 12 cm and an angle A = 30°. Find the length of side a, which is opposite angle A.
Updated 11/10/2020 8:12:36 AM
A right triangle has the hypotenuse c = 12 cm and an angle A = 30°. The length of side a is 6 cm.
Solution:
Sin(30) = opposite/hypotenuse = y/12; y = 12 * Sin(30) = 6.
A right triangle has the hypotenuse c = 12 cm and an angle A = 30°. Find the length of side a, which is opposite angle A.
Updated 5/9/2022 8:14:12 AM
A right triangle has the hypotenuse c = 12 cm and an angle A = 30°. The length of side a is 6 cm. Solution: Sin(30) = opposite/hypotenuse = y/12; y = 12 * Sin(30) = 6.
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