<span>Well if one assumes that the dog is starting at one side opposite the gate and is heading directly for it, then it has 3/8 of the yard to go. However since one cannot know where the dog has started his movement toward the gate then the answer would not be solvable without more information.</span>
Answer:
Step-by-step explanation:
The surface area of a rectangular prism has six sides so you must find the sum of the areas of all sides.
A=2xy+2xz+2yz
A=2(xy+xz+yz) you have x,y,z as 3,2,4 so
A=2(3(2)+3(4)+2(4))
A=2(6+12+8)
A=2(26)
A=52 cm^2
Answer:
When we have a point (x, y) and we do a reflection over a given line, we know that the new point (x', y') will be at the same distance from the line as our initial point (x,y).
Now, in this case, we have a reflection over the line y = -1. (this line is parallel to the x-axis)
But in the image, we can see that the reflected triangle is drawn in the other side of the y-axis, this means that the reflection was made in a line parallel to the y-axis.
Then the mistake that Oscar did is that he reflected over the wrong line, seems that he reflected the triangle over the line x = -1 instead of the line y = -1.
Answer:
3003 different groups of 6tops
Step-by-step explanation:
Using the combination formula, generally, when selecting r number of objects out of a pool of n numbers, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
If there are 14 tops I'd like to purchase and I can only afford six, the number of ways I can choose this six at random from the 14tops can be done in 14C6 number of ways.
14C6 = 14!/(14-6)!6!
14C6 = 14!/8!6!
14C6 = 14×13×12×11×10×9×8!/8!×6×5×4×3×2
14C6 = 14×13×12×11×10×9/6×5×4×3×2
14C6 = 14×13×12×11/8
14C6 = 3003ways
