Question

Which expression is equivalent to 5º?
A. 25
B. 5.5
C. 5
D. 125

Answer 1

The expression that is equivalent to 5º is C. 5.

Step-by-step explanation:

The expression that is equivalent to 5º is C. 5.

To convert º to a whole number, we need to compare it to the units place of the number.

For example, 5º can also be written as 5.

Therefore, the correct answer is C. 5.

Answer 2

The correct equivalent expression for
`\(5^\circ\)` is 1 which is not among the provided options. Therefore, none of the options A, B, C, or D is correct.

Step-by-step explanation:

In trigonometry, angles are often measured in degrees. To find the equivalent expression for
`\(5^\circ\)`, we need to understand that this angle is relatively small. The correct equivalent expression is 1, as
`\(360^\circ\)` constitutes one full revolution or circle. Therefore,
`\(5^\circ\)` is
`\((5)/(360)\)` of a full circle, which simplifies to
`\((1)/(72)\)`. Mathematically,
`\(5^\circ\)` is equivalent to 1 when normalized to the standard unit circle.

Now, let's break down the given options to demonstrate why each one is incorrect:

A. 25: 25 is significantly larger than
`\(5^\circ\)`, and it doesn't represent the correct proportion of a full circle.

B. 5.5: 5.5 is greater than
`\(5^\circ\)` and does not accurately reflect the small measure of this angle.

C. 5: While tempting, 5 is not the correct equivalent expression for
`\(5^\circ\)` when considering the proportion of a full circle.

D. 125: 125 is much larger than
`\(5^\circ\)` and does not represent a fraction of a full circle.

In conclusion, the correct answer, 1, is not provided among the given options. The options provided are incorrect as they do not accurately reflect the proportion of
`\(5^\circ\)` in relation to a full circle.