Step-by-step explanation:
it's so much work, here's the first half untill i do the rest
i added the rest, i hope i helped somehow good luck!! :)
Answer: 26.1
<u>Step-by-step explanation:</u>
![cos\theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos(40^o)=\dfrac{20}{BD}\\\\\\BD=\dfrac{20}{cos(40^o)}\\\\\\BD=26.1](https://tex.z-dn.net/?f=cos%5Ctheta%3D%5Cdfrac%7Badjacent%7D%7Bhypotenuse%7D%5C%5C%5C%5C%5C%5Ccos%2840%5Eo%29%3D%5Cdfrac%7B20%7D%7BBD%7D%5C%5C%5C%5C%5C%5CBD%3D%5Cdfrac%7B20%7D%7Bcos%2840%5Eo%29%7D%5C%5C%5C%5C%5C%5CBD%3D26.1)
Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
4 1/4 is greater than 4 3/11
Hope I helped!
~ Zoe
Answer:
Step-by-step explanation:
3y+5y=8y
8y=7(divide 8 in both sides to get y)
y=7/8
x+2y=3...but we already know the value of y, so substitute 7/8 to y
x+2(7/8)=3
x+14/8=3
x=3-14/8
=1.25