In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
It's not rigid because dilations (scale factor not equal to 1) change the length of the segments, or the distances between the points. You'll get a similar figure but it won't be congruent. For example, if the scale factor is 3, then the distances will be three times as large; or the lengths will be 3 times as long.
To be "rigid", the lengths must be kept the same. In contrast, a reflection is rigid because the distances are kept the same. The only thing changing is the orientation (clockwise to counter-clockwise, or vice versa).
Answer:
<h2>91</h2>
Step-by-step explanation:
Find the volume of the prism shown. The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 13 cm and the width is 7 cm.
