Given:
A figure of a triangular prism.
Height of triangular base =
yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:




Putting
and h=4 in (i), we get




The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
Answer:
You must order the operations in the way that it unfolds in the explanation;:
Step-by-step explanation:
(25 x 9) +75 + 50+ 9 x ( 3 + 1)
When performing the operations we have the following results:
(25 x 9) =225 +75= 300+50 = 350+9 = 359 x (3+1 )
Now we must solve the following: 359 x (4) = 386
Answer:

Step-by-step explanation:
Given


Required
Determine the part left
The part left is calculated using:



Take LCM



Answer:
Average rate of change = 2
Step-by-step explanation:
We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.
From graph we see that y=-3 when x=-4, So the point is (-4,-3)
From graph we see that y=3 when x=-1, So the point is (-1,3)
Now we can plug these points into average rate of change formula:

where (a,f(a)) and (b,f(b)) are the given points.




Hence final answer is 2.