Volume = width × height × length.
First let's concentrate on the rectangular prism. This has 4 for its height and 5 for its width so you do 4 × 5 (=20) × 10 (because the length of the rectangular prism is the same as the triangular prism, so we will use the length of the triangular one) = 200m³ for the rectangular one.
To work out the triangular one, it's the same, but whatever answer you get you divide it by 2 because a triangle is just a rectangle cut in half diagonally. Therefore, 3 × 5 (=15) × 10 = 150. Then divided by 2 = 75m³.
Total volume = volume of rectangular prism + triangular prism
Therefore total volume = 200 + 75 = 275m³.
This is system of Equations.
<span>2x + 3y =10
x + y = 3
</span>
x + y = 3 (multiply this by three) to get 3x + 3y = 9
2x + 3y =10
3x + 3y = 9 Subtract them
-1x = 1
x=-1
Now plug x back into the top equation and solve for y.
I hope this helps! If not, let me know! Have a fantastical day!
Answer:
y = 18
Step-by-step explanation:
Since the triangles are similar, the corresponding sides are in proportion, that is
= 
, substitute values
= 
( cross- multiply )
14y = 252 ( divide both sides by 14 )
y = 18
Answer: See Annex
z (max) = 190
x = 10
y = 20
Step-by-step explanation:
z = 5*x + 7*y to maximize
Subject to:
x + y ≤ 30
2*x + y ≤50
2*x - y ≥ 0
x≥= y ≥0
