To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]
V = 5 * 2 1/2 * 1 1/2
V = 12 1/2 * 1 1/2
V = 18 3/4cm³
Now that we know the volume, we can check each answer choice.
Option A:
5 ∙ 2 1/2 ∙ 1 1/2
12 1/2 * 1 1/2
18 3/4cm³
Option B:
12 1/2 ∙ 1 1/2
18 3/4cm³
Option C:
1 1/2(5 + 2 1/2)
1 1/2(7 1/2)
11 1/4cm³
Option D:
1/2(12 1/2 ∙ 1 1/2)
1/2(18 3/4)
9 3/8cm³
Therefore, the only correct options are A and B.
Best of Luck!
Answer:
<u>-</u><u>5</u><u>g</u><u>(</u><u>4</u><u>)</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>is</u><u> </u><u>9</u>
Step-by-step explanation:

when x is 4:

therefore:

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
Answer: b) two sides and the included angle are congruent
<u>Step-by-step explanation:</u>
RS = QS SIDES are congruent
∠PSR ≡ ∠PSQ ANGLES are congruent
PS = PS SIDES are congruent
ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem
Since we know the triangles are congruent, we can state that their parts are congruent:
Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)