Answer is 1 1/12
3(1/4 + 1/2^2)+ (2x1/12)
3/4+1/4+2/12 (you get to this part by distributing 3 throughout the parentheses)
9/12+3/12+2/12= 1 1/12 hope this helps
Answer:
414 9/16 m³
Step-by-step explanation:
The volume of a Rectangular prism is calculated as Length × Width × Height
From the attached diagram,we can see that
The length = 8 3/8 m
The width = 6 m
The height =8 1/4 m
Converting the mixed fraction to improper fraction in other to simplify it better
The length = 67/8 m
The height = 33/4 m
The volume of the rectangular prism =
67/8 m × 6m × 33/4m
= (13266/32)m³
= 6633/16 m³
= 414 9/16 m³
=
<span>the series of xcosx is x summation from k = 0 to k = infinity of ((-1)^k x^2k)/(2k)!</span>
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
You have to first mess around with the first shape, ABCD, and split that into a rectangle and a right triangle. once you do that, it's pretty painstaking, but simple.
if you look at it you can tell that EFGH is just half the size, but the same ratios and everything.
So, you would just take every perimeter measurement from ABCD, and divide it by two and then sum them together.
2.5 + 1.5 + 4.0 + 2.0 = 10
