Area of the trapezoid: 108
Step-by-step explanation:
The area of a trapezoid is given by the following equation:
![A=\frac{(B+b)\cdot h}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%28B%2Bb%29%5Ccdot%20h%7D%7B2%7D)
where:
B is the major base
b is the minor base
h is the heigth
For the trapezoid in this problem, we have:
B = 8 (major base)
b = 1 (minor base)
h = 24 (height)
Therefore, the area is:
![A=\frac{(8+1)\cdot 24}{2}=108](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%288%2B1%29%5Ccdot%2024%7D%7B2%7D%3D108)
Learn more about area of figures:
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If P1 has coordinates (x1, y1) and P2 has coordinates (x2, y2), then the distance between the two points is given by [(x1 - x2)2 + (y1 - y2)2]½ or [(x2 - x1)2 + (y2 - y1)2]½ Using the same two points as above, the midpoint formula is M = [(x1 + x2)/2], [(y1 + y2)/2] If we wanted to find the slope of the line on which the two points lie, it would be given by: m = (y1 - y2)/(x1 - x2) or (y2 - y1)/(x2 - x1) Some quadratic equations can be easily factored, some cannot. For those cases we use the Quadratic Formula: If ax2 + bx + c = 0 then x = [-b ± (b2 - 4ac)½]/2a Notice that the Distance, Midpoint and Slope Formulas all refer to linear equations. The quadratic formula, as the name implies, is used to find roots of an equation in which the variable x is squared.
The formula you need to know is that the side opposite of the 30° angle is always half the hypotheneus. For example in question 2 X should be 6 since 3 is opposite side of the angle 30°. In a 45 45 90 triangle, it is important to know that the straight sides are always the same length (since they are the same angle). For example in question 9, v is also 9√2.
When you have two sides, you can figure out the third side with a² + b² = c² since they are all right triangles. Good luck
Answer:80?
Step-by-step explanation:
20(2x2) =80