By definition of the binomial coefficient,
so we have
as required.
The last net has all of the requirements. All you have to do then is count, which means the vertices from the hexagon all add up to 12. The rectangles are supposed to encircle it to make a closed object, which gives it eight faces, hexagons included.
Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
Answer:
Step-by-step explanation:
cos ^-1(0)=(2n+1) π/2
where n is an integer.
if 0 ≤α ≤2 π
n=0,1
cos ^-1(0)=π/2,3π/2
9514 1404 393
Answer:
16
Step-by-step explanation:
The altitude of the triangle is 12/21 = 4/7 of the marked side. If we assume that the marked sides are the ones that are corresponding, then ...
x = (4/7)(28)
x = 16
