<h3>
Answer: 12/13</h3>
The sine of an angle is equal to the opposite over hypotenuse
sin(angle) = opposite/hypotenuse
sin(x) = 12/13
Answer:
Please see the attached pictures for full solution.
For the first question, the inequality sign is 
because of the word "at least". This means that the profit can be greater or equal to $980.
2nd question part b: I saw your working on another post... you're almost there! After finding the circumference of the semi circle, add the diameter of the semicircle (2 radius) since it's part of the garden too.
For the 3rd question part b, I multiply 12.8 by 15 because we know that from part a that 1cm of the scale drawing represents 15 feet of the actual parking lot. Since the length of the parking lot on the scale drawing is given to be 12.8cm, the actual length is 12.8×15= 192 feet. (I answered this question on another post of yours but I decided to explain it again here)
If you have any questions, feel free to ask! :)
Answer:
53.52°
Step-by-step explanation:
The cosine function relates the angle to the sides shown:
Cos = Adjacent/Hypotenuse
cos(x°) = (22 ft)/(37 ft) = 22/37
The inverse cosine function is used to find the corresponding angle.
x° = arccos(22/37) ≈ 53.52°
First since theres 20 sides multiply the side by 2 and do the same for the base
Answer:
(c) $3,93 more
(b) Mr. Sánchez's class earned more money.
(a) ![\displaystyle [42, 37] → [j, p]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B42%2C%2037%5D%20%E2%86%92%20%5Bj%2C%20p%5D)
Step-by-step explanation:
{79 = p + j
{118,17 = 1,65p + 1,36j
−25⁄34[118,17 = 1,65p + 1,36j]
{79 = p + j
{−86 121⁄136 = −1 29⁄136p - j >> New Equation
__________________________

[Plug this back into both equations above to get the j-value of 42]; 
The next step is to plug the solution into the BOTTOM EQUATION to calculate the total money earned for each class:
<u>Sánchez's class</u>
![\displaystyle 61,05 = [37][1,65]](https://tex.z-dn.net/?f=%5Cdisplaystyle%2061%2C05%20%3D%20%5B37%5D%5B1%2C65%5D)
Altogether, <em>thirty-seven</em> fruit pies cost $61,05.
<u>Kelly's</u><u> </u><u>class</u>
![\displaystyle 57,12 = [42][1,36]](https://tex.z-dn.net/?f=%5Cdisplaystyle%2057%2C12%20%3D%20%5B42%5D%5B1%2C36%5D)
Altogether, <em>forty-two</em> bottles of fruit juice cost $57,12.
* Based on the calculation, it is perfectly clear that Mr. Sánchez's class earned more money by $3,93:

I am delighted to assist you anytime my friend!