Answer:
1,512 cm³
Step-by-step explanation:
The general formula for the volume of a prism is:
V= Bh, where B = the area of the base and h = height of the prism
Given the dimensions of the smaller block as 9cm x 3cm x 7cm, then the dimensions of the larger block (double the dimensions of the smaller block) must be 18cm x 6cm x 14cm. Using these measurements:
V = (18)(6)(14) = 1,512 cm³
Answer:
4x² -29x +51
Step-by-step explanation:
Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.
... g(x) = 4x² -5x = x(4x -5)
Substituting, we have
... g(x-3) = (x -3)(4(x -3) -5)
... = (x -3)(4x -17) . . . . . simplify right factor
... = 4x² -12x -17x +51
... g(x -3) = 4x² -29x +51
(10x - 65) degrees is equal to (9x - 49) degrees, therefore you can set them into an equation.
(10x - 65) = (9x - 49)
By subtracting 9x in both sides,
(10x - 9x) - 65 = (9x -9x) - 49
x - 65 = -49
By adding 65 in both sides,
x - 65 + 65= -49 + 65
x = 16
Next, to find the value of z, it’s important to know that the straight line has 180 degrees. Then you would substitute the x value you found into one of your equation and subtract it from 180.
10 (16) - 65 = 160 - 65 = 95
Now you know that (10x - 65) degrees is equal to 95 degrees,
180 - 95 = z = 85
Answer: x = 16
z = 85
