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icang [17]
3 years ago
7

A road has a grade of 28.4%. This means that the road rises 28.4 ft over a horizontal distance of 100 ft. What angle does the hi

ll make with a horizontal line? ROUND TO THE NEAREST DEGREE!
Please help!!!!!
Mathematics
1 answer:
MrRa [10]3 years ago
3 0

The angle would be the tangent.

Tangent ( angle) = opposite leg/ adjacent leg

Tangent angle = 28.4/100

Angle = tan^-1(28.4/100)

Angle = 16 degrees

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(2\sqrt{5}+1)(3\sqrt{5}-1)=(2\sqrt{5}*3\sqrt{5})-((2\sqrt{5}*1)+1*3\sqrt{5})-1*1\\\\ =6*5-2\sqrt{5}+3\sqrt{5}-1\\\\  =30+(-2+3)\sqrt{5}-1\\ \\=29+\sqrt{5}

c) Rationalize the denominator by multiplying the denominator and numerator by √12

\frac{6}{\sqrt{12}}=\frac{6*\sqrt{12}}{\sqrt{12}*\sqrt{12}}\\\\=\frac{6\sqrt{2*2*3}}{12}\\\\=\frac{6*2\sqrt{3}}{12}\\\\=\frac{12\sqrt{3}}{12}\\\\=\sqrt{3}

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