9514 1404 393
Answer:
- 8, 20, 32, 44, 56
- arithmetic
Step-by-step explanation:
The words "common difference" tell you this is an arithmetic sequence. A geometric sequence will have a <em>common ratio</em> between terms.
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The common difference is added to each term to get the next.
first term: 8 -- given
second term: first term + common difference = 8 + 12 = 20
third term: 20 +12 = 32
fourth term: 32 +12 = 44
fifth term: 44 +12 = 56
The first 5 terms of this arithmetic sequence are 8, 20, 32, 44, 56.
If a line is drawn across the shape connecting two of the angles it makes two triangles. The sum of the angles in a triangle is 180 degrees.
Since this shape makes two triangles the sum of the inside angles is 2 * 180 = 360 degrees
(2x - 17) + 90 + x + 59 = 360
combine like terms
3x + 132 = 360
3x = 360 - 132
3x = 228
x = 76
Answer:
The correct option is;
10 m
Step-by-step explanation:
The parameters given are;
Height of the first pole = 20 m
Height of the second pole = 14 m
The angle the wire connected to their top makes with the horizontal = 30°
The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.
Let the horizontal distance between the two poles = D
Therefore;
The horizontal length of the wire = D
From trigonometric ratios, we have;
Which gives;
The correct option is 10 m.
Answer:
1536² mm
Step-by-step explanation:
16 x 16 = 256
256 x 6 = 1536 (6 = number of faces)
1536²mm
B because 12-14 is equal to -2.