Answer:
The missing length is 8
Step-by-step explanation:
Represent the missing length with x
The non-parallel sides of the given shape are directly proportional.
Mathematically:
3 to 6 and 4 to x
Represent as a ratio:
Convert to fraction
Cross Multiply:
Divide through by 3
<em>The length of the missing side is 8</em>
The recursive formula of the explicit rule an = (n + 1)² is where a1 = 4
The explicit formula is given as:
an = (n + 1)²
This means that:
a1 = (1 + 1)² = 4
a₂ = (2 + 1)² = 9
a₃ = (3 + 1)² = 16
Rewrite as:
a₂ = 4 + 2 * 2 + 1 = 9
a₃ = 9 + 2 * 3 + 1 = 16
Substitute a₂ = 9
a₃ = a₂ + 2 * 3 + 1 = 16
Express 2 as 3 - 1
a₃ = a₃₋₁ + 2 * 3 + 1
Express 3 as n
Evaluate the product
Hence, the recursive formula of the explicit rule an = (n + 1)² is where a1 = 4
Read more about explicit rules at:
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Answer:
Step-by-step explanation:
The error percentage is a measure of how inaccurate a measurement is, standardized based on the size of the measurement. It can be easily calculated using the following formula:
Where:
Therefore, according to the data provided by the problem:
The percentage error is: