Answer:
cos57° = x/51
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] sin∅ = opposite over hypotenuse
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to solve for the missing side length.
<u>Step 2: Set up ratios</u>
We can choose between the 2 angles and have multiple ratios to solve for <em>x</em>.
sin33° = x/51
cos57° = x/51
Hence, we see that the 1st option would be the correct answer.
Answer: F
Step-by-step explanation:
We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.
Also, its modulus is the distance from the origin, which in this case is ![\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16](https://tex.z-dn.net/?f=%5Csqrt%7B3%5E2%20%2B%201%5E2%7D%3D%5Csqrt%7B10%7D%20%5Capprox%203.16)
The answer that best matches this is F
Answer:
Step-by-step explanation:
Let x represent the number of hours that he works. babysitting his neighbors children.
Let y represent the number of hours that he works at the other job.
He earns $10 per hour babysitting his neighbors children. This means that the amount that he earns, babysitting his neighbors children for x hours would be
10x
He earns $12 per hour working at the other job. This means that the amount that he earns, working at the other job for y hours would be
12y
Therefore, the inequality that represent the number of hours that he needs to work at both jobs to earn a minimum of $120 is
10x + 12y ≥ 120
$.07. You do not write $.7 because that would mean 70 cents and should be written with a 0 at the end anyways. You do not write any dollar amount with a cents sign at the end, because the dollar sign replaces it. You write $.07 because 7 cents means 7/100 (7 one hundredths) so the seven must be written in the hundredths spot. Remember, the hundredth spot is the second number after a decimal.
Answer:the answer is my nballs
Step-by-step explanation: