Hello there!
The formula to find the area of a trapezoid is:
A =
![\frac{a+b}{2} h](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%2Bb%7D%7B2%7D%20h)
Since we have everything, we just plug them in :)
A =
![\frac{3x+3x+4}{2} (x+2)](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%2B3x%2B4%7D%7B2%7D%20%28x%2B2%29)
A = (3x+3x+4)/2 (x) + (3x+3x+4)/2 (2)
A= <span><span><span><span>3x^2</span>+<span>2x</span></span>+<span>6x</span></span>+<span>4
A = </span></span><span>3x^2+8x+4
The correct answer is option A
I hope I helped!
Please feel free to ask me any additional questions about the answer.
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Step-by-step explanation:
Let the number be x
2 more than a number = x + 2
For the following N = -2 therefore answer is m=-1
N= 0. Therefore answer is m= 1/3
N= 2 , therefore answer is 5/3 How do you get it substitute each n for the number and solve for m .
Each notepad costs $5 therefore she bought 2 because 5+2=10.
Answer:
26.68 ft
Step-by-step explanation:
Let a represent the distance from Kelsea to the bird and b be the distance from Landon to the bird.
Let x = angle of the bird. Hence:
x + 45 + 20 = 180 (sum of angles in a triangle)
x + 65 = 180
x = 180 - 65
x = 115°
Using sine rule:
![\frac{100\ ft}{sin(115)} =\frac{a}{sin(45)} =\frac{b}{sin(20)} \\\\\frac{100\ ft}{sin(115)} =\frac{a}{sin(45)}\\\\a=\frac{100\ ft}{sin(115)} *sin(45)\\\\a=78\ ft\\](https://tex.z-dn.net/?f=%5Cfrac%7B100%5C%20ft%7D%7Bsin%28115%29%7D%20%3D%5Cfrac%7Ba%7D%7Bsin%2845%29%7D%20%3D%5Cfrac%7Bb%7D%7Bsin%2820%29%7D%20%5C%5C%5C%5C%5Cfrac%7B100%5C%20ft%7D%7Bsin%28115%29%7D%20%3D%5Cfrac%7Ba%7D%7Bsin%2845%29%7D%5C%5C%5C%5Ca%3D%5Cfrac%7B100%5C%20ft%7D%7Bsin%28115%29%7D%20%2Asin%2845%29%5C%5C%5C%5Ca%3D78%5C%20ft%5C%5C)
Let h = height of the bird to the ground. Since a right angle is formed. hence:
![\frac{h}{sin(20)} =\frac{78}{sin(90)} \\\\h=\frac{78}{sin(90)}*sin(20)\\\\h=26.68\ ft](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bsin%2820%29%7D%20%3D%5Cfrac%7B78%7D%7Bsin%2890%29%7D%20%5C%5C%5C%5Ch%3D%5Cfrac%7B78%7D%7Bsin%2890%29%7D%2Asin%2820%29%5C%5C%5C%5Ch%3D26.68%5C%20ft)