The rectangular prism has the greatest volume
Rectangular Prism Volume= 72
Triangular Prism Volume = 70
Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h
Work:
(R.Prism)
V= 4•6•3
V= 72
(T.Prism)
V= (1/2•4•5)(7)
V= 70
Hope this helps
Step-by-step explanation:
Given that,
Two equations,
3x + 11 = 11 .....(1)
And
3(x - 3) = 45
or
3x-9=45 ....(2)
Subtract 11 on both sides of equation (1).
3x + 11-11 = 11-11
3x=0
x = 0
Add 9 to both sides of equation (2)
3x-9+9=45+9
3x = 54
x = 18
Hence, the solution of equation (1) is x=0 and form equation (2) x = 18.
Answer:
The required factors are: x, (x + 6) and (x - 3).
Step-by-step explanation:
As per the question,
The given polynomial is:
Now,
BY factorization, we get
By splitting the mid-term, that is split 3x like:
3x = 6x - 3x
Therefore,
Now on further solving by taking common factor out, we get
![=x[x(x+6)-3(x+6)]](https://tex.z-dn.net/?f=%3Dx%5Bx%28x%2B6%29-3%28x%2B6%29%5D)
Therefore, the given second polynomial (x - 4), is not a factor of given polynomial .
Hence, the given polynomial has three factor x, (x + 6) and (x - 3).
Answer:
g = f/2
Step-by-step explanation:
Since it is given that 2 side lengths are the same, the 2 triangles produced are similar triangles. That means the ratio from f to g would have to be half, as the ratio of the similar triangle is 1:2.
Answer:
width = 12 ft
Step-by-step explanation:
Given the figure of the pond and the fact that the corners form a right triangle that is across from the string of flags, you can use the Pythagorean Theorem to solve for the width of the triangle that is formed by the flags:
a² + b² = c², where 'a' and 'b' represent the legs of the triangle and 'c' represents the diagonal or hypotenuse. Using 16 for 'a' and 20 for 'c':
16² + b² = 20²
256 + b² = 400
Subtract 256 from both sides: 256 - 256 + b² = 400 - 256 or b² = 144
Take the square root of both sides: √b² = √144 or b = 12 ft
