2 years ago

Geometry: The base of a triangle is 12 in. Its height is (x + 6) in. Its area is no more

Mathematics

1 answer:

larisa [96]2 years ago

3 0

Answer:

The area of a triangle= bh/2. Substitute

12(x+6)/2 ≤ 72

12(1/2x+3) ≤ 72

6x+36 ≤ 72

6x ≤ 72-36

6x ≤ 36 Divide both sides by 6

x ≤ 6

x|x ≤6 (read: x, where x is equal or smaller than 6)

Step-by-step explanation:

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$\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3}) }{13} = \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18$