Answer:
Please refer to the image attached to this answer.
Step-by-step explanation:
we have ΔLMN as our parent triangle, where M=90°. Another triangle ΔPQR is formed which was dilation of ΔLMN with a factor of one and half that is 1.5
We are also given that the center of dilation is M itself . Hence the point Q of the ΔPQR overlap with the M.
Now let us see the image attached with this. The Line LM and MN are extended further till Point P and R respectively.
If LN = x and MN = y
PM = 1.5x and MR = 1.5y
as the scale of dilation is 1.5
Now let us see the the ratio of the sides of the two triangles.
Hence the ratio of the sides is same. There for the triangles are similar to each other.
Answer:
the answer is $9,867,396.83
See the attachment below.
Hope it helps!
S casts a "shadow" on the x-y plane given by the set
Each cross section is a square whose side length is determined by the vertical distance between y = 1 and y = x², which is |1 - x²|. But since -1 ≤ x ≤ 1, this distance simplifies to 1 - x².
The volume of an infinitesimally thin section is then (1 - x²)² ∆x (where ∆x represents its thickness), and so the volume of S is
The integrand is even, so this integral is equal to twice the integral over [0, 1] :
Answer:
a)2r + n2 - 2n +7
Step-by-step explanation:
3r + n2 - r + 5 - 2n + 2
(3r - r) + n^2 - 2n + (2 + 5)
2r + n^2 - 2n + 7