Roberta is shopping at a bookstore. She starts with some money in her wallet, uses only cash
1 answer:
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Answer:
We need to find which expressions are equivalent to ,
or neither.
: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.
Therefore, this expression is equivalent to neither of the given expressions.
: We just need to apply the distributive property.
Therefore, this expression is equivalen to .
We use the same process to the other expressions.
, equivalent to neither.
<h2>Answer:</h2>
55°
<h2> Step-by-step explanation:</h2>To solve this, follow these steps:
i. <em>Make a sketch of the problem</em>.
The sketch has been attached to this response.
ii. <em>Label the sketch properly</em>
As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).
iii. <em>Solve using the tangent trigonometric ratio</em>
With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being 5 units and 7 units respectively.
Using the tangent formula,
tan θ = opposite / adjacent
tan θ = 7 / 5
θ = tan⁻¹ (7/5)
θ = tan⁻¹ (1.4)
θ = 54.46
θ = 55° to the nearest integer.
Therefore, the angle made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°