Answer:
h = 
Step-by-step explanation:
Formula for the area of a trapezoid is,
Area (A) = 
Here b and c are the bases and 'h' is the height of the trapezoid.
2A = ![2[\frac{1}{2}(b+c)h]](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B1%7D%7B2%7D%28b%2Bc%29h%5D)
2A = (b + c)h
Therefore, formula for the height of the trapezoid will be,
h =
This is a quadratic equation with a general equation of ax^2 + bx + c.
The quadratic formula can help to get the roots of the equation. We know the highest degree of that equation is 2; so there will be also two roots.
The quadratic formula is
x = [-b ± √(b^2 - 4ac)] / 2a
With a = 1, b = 7, c = 2,
x = {-7 ± √[(7)^2 - 4(1)(2)]} / 2(1) = (-7 ± √41) / 2
So the two roots are
x1 = (-7 + √41) / 2 = -0.2984
x2 = (-7 - √41) / 2 = 0.2984
This is also another way of factorizing the equation
(x + 0.2984)(x + 0.2984) = x^2 + 7x + 2
Answer:
Step-by-step explanation:
To find the population density of any state:
We must divide the population number by the area
Thus Washington state's population density equals 7,705,281 / 71297.95
Which equals 108.1
Hope that helps!
Answer:
154 ft
Step-by-step explanation:
A right triangle is formed, where the height of the wheel (h) is one leg, the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)
From definition:
tan(51°) = opposite/adjacent
tan(51°) = h/125
h = tan(51°)*125
h = 154 ft
