Questions: Find an angle θ coterminal to 903°, where 0° ≤ θ<360°.

Find an angle θ coterminal to 903°, where 0° ≤ θ<360°.
Transcript text: Find an angle $\theta$ coterminal to $903^{\circ}$, where $0^{\circ} \leq \theta<360^{\circ}$.
failed

Solution

failed
failed

Solution Steps

Step 1: Find the Coterminal Angle

To find an angle \( \theta \) that is coterminal with \( 903^{\circ} \), we can use the formula:

\[ \theta = 903^{\circ} \mod 360^{\circ} \]

Step 2: Calculate the Modulus

Calculating the modulus gives us:

\[ \theta = 903^{\circ} - 2 \times 360^{\circ} = 903^{\circ} - 720^{\circ} = 183^{\circ} \]

Step 3: Verify the Range

The resulting angle \( 183^{\circ} \) is within the required range of \( 0^{\circ} \leq \theta < 360^{\circ} \).

Final Answer

Thus, the coterminal angle is \\(\boxed{183^{\circ}}\\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 182 lb and a standard deviation of 45 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is 140 lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 1.0000. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight exceeds 175 lb, which is the maximum mean weight that does not cause the total load to exceed 3500 lb? The probability is . (Round to four decimal places as needed.)
failedAnswered
Question 8 (2 points) Identify the given alkane. a) pentane b) hexane C) octane d) heptane
failedAnswered
Question 1 ( 0.5 points) Which of the following is a health condition that persists over time, typically for periods longer than three months? 1) social integration 2) health psychology 3) chronic disease 4) stressors
failedAnswered
The mean finish time for a yearly amateur auto race was 185.91 minutes with a standard deviation of 0.396 minute. The winning car, driven by Frank, finished in 185.28 minutes. The previous year's race had a mean finishing time of 110.6 with a standard deviation of 0.117 minute. The winning car that year, driven by Jane, finished in 110.25 minutes. Find their respective z-scores. Who had the more convincing victory? Frank had a finish time with a z-score of Jane had a finish time with a z-score of (Round to two decimal places as needed.)
failedAnswered
In his Two Treatises of Government, John Locke argued that (A) legitimate government authority is conditional and contractual. (B) wealth should be distributed equally among all members of society. (C) the theory upholding the absolute, divine right of kings was unassailable. (D) no group of people has the right to dissolve civil society. (E) kings should hold absolute power, same as fathers in their households.