Answer:
sin (55) = DE / AD
AD = DE / sin (55)
AD = 8 / sin (55)
And
tan (55) = DC / AD
tan (55) = DC / [8 / sin (55) ]
DC = 8 tan (55) / sin (55)
AD * DC =
[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2
Step-by-step explanation:
f
54.5981500331 is the answer
Answer:
6x-12
you don't know what the 'number' is so put it as a letter like 'x'
12 is getting subtracted from 6(x)
so 6x-12
Answer: ![\bold{y=-\dfrac{2}{3}x-\dfrac{41}{3}}](https://tex.z-dn.net/?f=%5Cbold%7By%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B41%7D%7B3%7D%7D)
<u>Step-by-step explanation:</u>
Use the Point-Slope formula: y - y₁ = m(x - x₁)
![\bullet m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-2}{3-0}=-\dfrac{2}{3}\\\\\bullet (x_1,y_1)=(-4,-11)\\\\\\y+11=-\dfrac{2}{3}(x+4)\\\\\\y+11=-\dfrac{2}{3}x-\dfrac{8}{3}\\\\\\y\qquad =-\dfrac{2}{3}x-\dfrac{41}{3}](https://tex.z-dn.net/?f=%5Cbullet%20m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B0-2%7D%7B3-0%7D%3D-%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5Cbullet%20%28x_1%2Cy_1%29%3D%28-4%2C-11%29%5C%5C%5C%5C%5C%5Cy%2B11%3D-%5Cdfrac%7B2%7D%7B3%7D%28x%2B4%29%5C%5C%5C%5C%5C%5Cy%2B11%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B8%7D%7B3%7D%5C%5C%5C%5C%5C%5Cy%5Cqquad%20%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B41%7D%7B3%7D)