hi
u0 = 64 with u(n+1) = un *0.75
u3 = 64 *0.75^3 = 27
sum is : 64 * ( 0.75^4 -1) / 0.75-1 = 175
manual proof : 64 + 48+36+27 = 175
Step-by-step explanation:
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Please look your required answer in pictures.
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9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
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The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
The angles in an equilateral triangle are 60 degrees.
sin 60 = 9 / h where h is hypotenuse ( = side of the triangle)
h = 9 / sin 60 = 10.392
Perimeter = 3 * h = 31.18 to nearest hundredth