Answer:
Option B, 187.5 cm³
Step-by-step explanation:
Volume of the triangular prism,
base area × height
= (10×7.5/2)×5
= 187.5 cm³
You have to do 7,800 divide by 12 and you get D) 650.
Answer:
448 cubes
Step-by-step explanation:
Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.
Since, volume of a cube = (Side)³
Side of the cube =
inch
Therefore, volume of the cube =
inches
Volume of the storage box = 56 cubic inches
Since, number of cubes fitted in the storage box = 
= 
= 56 × 8
= 448 cubes
Therefore, number of cubes fitted in the storage box = 448
From right triangle trigonometry, we have the following:

,
where the "opposite side" means the opposite side to angle with measure

, and "adjacent side" means the adjacent side to angle with measure

.

is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives

Thus, back in the equation

we substitute as follows and solve:


Answer: 8.4 cm
Yes, there is an expanded algorithm for synthetic division involving nonlinear and non-monic divisors (check out the w.i.k.i.pedia page on "synthetic division", under the "Expanded sythetic division" section).