Well, the best way to solve this would involve the Pythagorean theorem.
First, take the length of the hypotenuse (the string in this case) and square it. Do the same to the side length we are given (the kites height above the ground).
We then subtract the squared height from the squared hypotenuse. We should be left with 1,781m.
All we have to do now is find the square root of 1,781m.
Your answer for b is 42.20189569m.
Step by step ' d4 34 495 04 959 504 40 59 495 9 49 20 150 10 495 40 50 95 309 4589 54
Answer:
The width of the border can be 9 feet or 3.5 feet.
Step-by-step explanation:
Let the width be x
Length of room = 10 feet
Breadth of room = 15 feet
Length of rug = 10-2x
Breadth of rug = 15-2x
Area of rug =
We are given that the area of the rug is 24 square feet.
So,
---A
![150-20x-30x+4x^2=24](https://tex.z-dn.net/?f=150-20x-30x%2B4x%5E2%3D24)
![150-24-50x+4x^2=0](https://tex.z-dn.net/?f=150-24-50x%2B4x%5E2%3D0)
![126-50x+4x^2=0](https://tex.z-dn.net/?f=126-50x%2B4x%5E2%3D0)
![2(x-9)(2x-7)=0](https://tex.z-dn.net/?f=2%28x-9%29%282x-7%29%3D0)
![x=9,\frac{7}{2}](https://tex.z-dn.net/?f=x%3D9%2C%5Cfrac%7B7%7D%7B2%7D)
![x=9,3.5](https://tex.z-dn.net/?f=x%3D9%2C3.5)
Substitute x =9 in A
![(10-2(9))(15-2(9))=24](https://tex.z-dn.net/?f=%2810-2%289%29%29%2815-2%289%29%29%3D24)
![24=24](https://tex.z-dn.net/?f=24%3D24)
LHS = RHS
Substitute x = 3.5
![(10-2(3.5))(15-2(3.5))=24](https://tex.z-dn.net/?f=%2810-2%283.5%29%29%2815-2%283.5%29%29%3D24)
![24=24](https://tex.z-dn.net/?f=24%3D24)
LHS = RHS
So, The width of the border can be 9 feet or 3.5 feet.
Answer : The two dimensions are the same in the triangles as they were in the rectangle.
The answer to this is D!!!!