Answer:
where are the options
Step-by-step explanation:
Answer:
392.5 in²
Step-by-step explanation:
This figure is consists of a trapezium and a rectangle.
So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately and add them together.
Let us find now.
<u>Area of the Trapezium</u>
Area =
× ( sum of the parallel sides ) × height
Area =
× ( 9 + 20 ) × 5
Area =
× 29 × 5
Area =
× 145
Area = 72.5 in²
<u>Area of the rectangle</u>
Area = Length × Width
Area = 20 × 16
Area = 320 in²
<u>Total area of the figure</u>
Total area = Area of the trapezium + Area of the rectangle
Total area = 72.5 in² + 320 in²
Total area = 392.5 in²
Hope this helps you :-)
Let me know if you have any other questions :-)
Step-by-step explanation:
Let
where
![f(x) = x^4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E4)
![g(x)= (1 -2x^5)^6](https://tex.z-dn.net/?f=g%28x%29%3D%20%281%20-2x%5E5%29%5E6)
![h(x)= (5 - 8x^3)^2](https://tex.z-dn.net/?f=h%28x%29%3D%20%285%20-%208x%5E3%29%5E2)
so that
![y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2](https://tex.z-dn.net/?f=y%28x%29%20%3D%20x%5E4%281%20-2x%5E5%29%5E6%285%20-%208x%5E3%29%5E2)
Recall that the derivative of the product of functions is
![y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)](https://tex.z-dn.net/?f=y%27%28x%29%3Df%27%28x%29g%28x%29h%28x%29%2Bf%28x%29g%27%28x%29h%28x%29%2Bf%28x%29g%28x%29h%27%28x%29)
so taking the derivatives of the individual functions, we get
![f'(x) = 4x^3](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%204x%5E3)
![g'(x) = 6(1 - 2x^5)^5(-10x^4)](https://tex.z-dn.net/?f=g%27%28x%29%20%3D%206%281%20-%202x%5E5%29%5E5%28-10x%5E4%29)
![h'(x) = 2(5 - 8x^3)(-24x^2)](https://tex.z-dn.net/?f=h%27%28x%29%20%3D%202%285%20-%208x%5E3%29%28-24x%5E2%29)
So the derivative of y(x) is given by
![y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)](https://tex.z-dn.net/?f=y%27%28x%29%20%3D%204x%5E3%281%20-2x%5E5%29%5E6%285%20-%208x%5E3%29%5E2%20%2B%20%20x%5E4%206%281%20-2x%5E5%29%5E5%28-10x%5E4%29%285%20-%208x%5E3%29%5E2%20%2B%20%20x%5E4%281%20-2x%5E5%29%5E6%202%285%20-%208x%5E3%29%28-24x%5E2%29)
or
![y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2](https://tex.z-dn.net/?f=y%27%28x%29%20%3D%204x%5E3%281%20-2x%5E5%29%5E6%285%20-%208x%5E3%29%5E2)
![\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A-%2060x%5E8%281%20-2x%5E5%29%5E5%285%20-%208x%5E3%29%5E2)
![\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A-%2048x%5E6%281%20-2x%5E5%29%5E6%202%285%20-%208x%5E3%29)
Answer:
x=-2
Step-by-step explanation:
Step-by-step explanation:
you would do 3 ÷ .99 and then when you get the answer from that you would multiply it by 5.