Answer:
51 m
Step-by-step explanation:
the length of the diagonal can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
24² + 45²
576 + 2025
= √2601 = 51m
55/100 = (55:5)/(100:5) = 11/20
55/100 = 0.55
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
Answer:
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Answer:
39 degrees
Step-by-step explanation:
Right triangle
40 ft tree = opposite side
50 feet = adjacent side
tan (angle) = opp / adj = 40 /50
arctan (40/50) = 38.66 degrees ~ 39 degrees