Divide using Long-division. (-9z+72) ÷ (z–8)
In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A).
Let a be the length of the side opposite angle A, b the length of the side adjacent to angle A and h be the length of the hypotenuse. tan(A) = opposite side / adjacent side = a/b = 3/4 We can say that: a = 3k and b = 4k , where k is a coefficient of proportionality. Let us find h. Pythagora's theorem: h2 = (3k)2 + (5k)2 Solve for h: h = 5k sin(A) = a / h = 3k / 5k = 3/5 and cos(A) = 4k / 5k = 4/5
Instead of multiplying by 5, it might be easier to multiply by 10. Which of these is an easier version of 72 x 5? A. 36 x 10 B. 37 x 10 C. 36 x 9 D. 72 x 10
A. 36 x 10