9514 1404 393
Answer:
{4, 5, 6, 7, 8}
Step-by-step explanation:
The inequality related to the perimeter is ...
x +(x +4) +11 < 32
2x < 17 . . . . . . . . . . . . subtract 15
x < 8.5
The inequality related to the triangle inequality is ...
(x) +(x +4) > 11
2x > 7
x > 3.5
Then possible whole-number values of x are ...
{4, 5, 6, 7, 8}
Perpendicular sides or lines meet at right angles. The conclusion that can be reached is that:
<em>1. all of the rings are perpendicular to that side.</em>
The statements in the question can be listed as:
- <em>Rings in the ladder are parallel</em>
- <em>Top ring is perpendicular to the side of the ladder</em>
<em />
From statements 1 and 2 above, we understand that;
<em>All other rings in the ladder are parallel to the side ring</em>
This means that the relationship between the top ring and the side of the ladder is the same as the relationship between other rings and the side of the ladder
i.e. the side rings are also perpendicular to the side of the ladder
Hence, the conclusion that can be reached is:
<em>1. all of the rings are perpendicular to that side.</em>
Read more about parallel and perpendicular sides at:
brainly.com/question/8607613
Answer:
C = 15 + 20*p
Step-by-step explanation:
Cost for ordering = shipping and handling plus cost per part * number of parts
C = 15 + 20*p
Answer:
a_n = 3^(n -1)
Step-by-step explanation:
The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...
a_n = a1·r^(n-1)
Your sequence has first term 1 and ratio r=3, so the sequence is given by ...
a_n = 3^(n -1)
_____
<em>Comment on sequences and series</em>
The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.
Area of a parallelogram is base x height
48x14=672