Answer:
10^12
Step-by-step explanation:
Add the exponents when you multiply numbers with exponents
108 you just 45x2 then 9x2 and the answer that you times before
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75
Answer:
[8i + 54j + 72k] joules per newton metre square.
Step-by-step explanation:
F(x,y,z) = z2i + 3xyj + 3y2k
F(3,0,0) = 0
F(3,3,1) = 1(2i) + 3(3)(3)j + 3(3)(2k)
= 2i + 27j + 18k
F(0,3,1) = 1(2i) + 3(0)(3)j + 3(3)(2k)
= 2i + 18k
The sum = [4i + 27j + 36k]
Since the particle moves back to the origin, we multiply the above Work Done by 2:
[8i + 54j + 72k]
And since work done is the product of Force and Distance, the S.I. unit is Joules/newton metre square
