Answer: 117
Step-by-step explanation:
Formula for arithmetic sequence is:
= a + (n - 1)d
22nd term = a + (n - 1)d
= a + (22 - 1)d = a + 21d
where, a = 12
d = 17 - 12 = 5.
Therefore, 22nd term will be:
= a + 21d
= 12 + 21(5)
= 12 + 105
= 117
The 22nd term is 117
Your intention with the wording "consecutive integers of 12 feet" is not clear. Shown are triangles with sides 12 and 13 (a nice Pythagorean triple) as well as 11 and 12.
Answer:
104°
Step-by-step explanation:
let the second angle be x , then
the first angle is x + 24
the third angle is 4x , thus summing and equating to 180
x + x + 24 + 4x = 180, that is
6x + 24 = 180 ( subtract 24 from both sides )
6x = 156 ( divide both sides by 6 )
x = 26
Thus largest angle = 4x = 4 × 26 = 104°
Answer:this is the answer
The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
<h3>How to express in standard form?</h3>
The expression is given as:
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Collect the like terms
8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³
Evaluate the like terms
7mn⁵ - 6m⁶ + 14m²n⁴+n⁶ - 5m³n³
Rewrite in standard form
n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Read more about expressions at:
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