1/12 does not belong with the others because you can simplify the others, but not 1/12
Answer:
376.52 is the volume of the composite figure.
Step-by-step explanation:
Let's break this into two shapes.
A rectangular prism and a hemisphere
Volume Formula for rectangular prism: l • h • w
Volume Formula for hemisphere: (2/3)πr^3
l • h • w
10 • 4 • 8
40 • 8
320
Rectangular Prism: 320
(2/3)πr^3
2/3(3)^3
2/3(3.14)(27)
2.09333333333(27)
56.52
Hemisphere: 56.52
320 + 56.52 = 376.52
Answer:
the answer for ratio 16 to 14 = 1:3
Step-by-step explanation:
16:48
8:24
4:12
1:3
-10/3+3/4
-40/12+9/12
-31/12
-2 7/12
The figure has already been split into 3 shapes, a rectangle, a trapezium, and a triangle. I will show you how to get the area of each, so we can add it together at the end.
Rectangle:
The rectangle is fairly simple, just multiply 9 and 16 together to get 144 in².
Triangle:
Again, the triangle is pretty simple. The area of a triangle is (base × height)/2, so you do (31 × 20)/2 = 620/2 = 310 in².
Trapezium:
To find the area of a trapezium, you first add the two widths, which are 16 and 31, and then you divide it by 2. You then multiply that value by the height. 16 + 31 = 47, and 47 ÷ 2 = 23.5.
The height would be 35 (the total length of the shape) - 20 (the height of the triangle) which is 15, so 23.5 × 15 = 352.5 in².
Now we add them up, so 144 + 310 + 352.5 = 806.5 in², which is your final answer.
I hope this helps!
