It is a 3-4-5 right triangle
leg1 := 3x, leg2:=4x, hypotenuse:=5x
given hypotenuse = 75m
=> 5x=75
So, x= 75÷5 = 15
Therefore, leg1 = 3(15) = 45m.
leg2= 4(15) = 60m.
Answer:
899 ft
Step-by-step explanation:
if point a is 400 feet from the base and 499 feet away from the top you would need to add 400+499 together to get 899
Answer:
x=1/3
Step-by-step explanation:
A function f is given as
in the interval [0,1]
This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)
Hence mean value theorem applies for f in the given interval
![f(1) = 1-2-4+1 = -4\\f(0) = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%201-2-4%2B1%20%3D%20-4%5C%5Cf%280%29%20%3D%201)
The value
![\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5](https://tex.z-dn.net/?f=%5Cfrac%7Bf%281%29-f%280%29%7D%7B1-0%7D%20%3D%5Cfrac%7B-4-1%7D%7B1%7D%20%3D-5)
Find derivative for f
![f'(x) = 3x^2-4x-4](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%203x%5E2-4x-4)
Equate this to -5 to check mean value theorem
![3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1](https://tex.z-dn.net/?f=3x%5E2-4x-4%3D-5%5C%5C3x%5E2-4x%2B1%3D0%5C%5C%5C%5C%28x-1%29%283x-1%29%20%3D0%5C%5Cx%3D%201%2F3%20%3A%20x%20%3D%201)
We find that 1/3 lies inside the interval (0,1)
B Is the answer ......... z
Answer:
![\large\boxed{\large\boxed{42 unit^2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Clarge%5Cboxed%7B42%20unit%5E2%7D%7D)
Explanation:
The figure is not a regular hexagon. It is an irregular hexagon.
Please, find attached the picture with the original question and the figure.
You can split the figure into two triangles and one rectangle.
The rectangle has dimensions: 7units × 4units, thus its area is 28 units².
Both the upper triangle and lower triangle have base 7 units and height 2 units.
Hence the area of each triangle is:
![area=(1/2)base\times height](https://tex.z-dn.net/?f=area%3D%281%2F2%29base%5Ctimes%20height)
Hence, the area of the hexagon is:
![28units^2+7units^2+7units^2=42units^2](https://tex.z-dn.net/?f=28units%5E2%2B7units%5E2%2B7units%5E2%3D42units%5E2)