Answer:
The area of a trapezoid is
A = (1/2) h (b1 + b2)
where
h is the height
b1 is length of base 1
b2 is the length of base 2
Step-by-step explanation:
Y - y1 = m(x - x1)
slope(m) = 3/4
(-4,6)....x1 = -4 and y1 = 6
now just sub...and pay attention to ur signs
y - 6 = 3/4(x - (-4)...not done yet
y - 6 = 3/4(x + 4) <===
First factor out a variable: x(x^2-2x-24)
now solve the quadratic: x(x-6)(x+4)
When you set these expressions equal to zero, you get 0, 6, and -4 as your answers.
Answer:
20.16 meters
82.77º
Step-by-step explanation:
We have that the ramp would have the shape of a rectangular triangle, where the height and width would be the legs and the slope the hypotenuse.
We can solve it by means of the Pythagorean theorem that tells us:
c ^ 2 = a ^ 2 + b ^ 2
a = 2.5 and b = 20, replacing:
c ^ 2 = 2.5 ^ 2 + 20 ^ 2
c ^ 2 = 406.25
c = 20.16
Therefore the slope would be 20.16 meters.
The angle, we will do it using the function: Sin A ° = opposite / hypotenuse
where the opposite is the height, that is to say 20 and the hypotenuse that is the slope is equal to 20.16, replacing:
Without Aº = 20 / 20.16
Without Aº = 0.992
Aº = arc sin (0.992)
Aº = 82.77
Which means that the angle is of the slope with the horizontal is 82.77º
