Answer: (5,5) and (3,-1) are points or equation y=3x-10 general: 3x-y-10=0
Step-by-step explanation:
I'm assuming that's what you mean but if not sorry
4cos(x)-2cos(x)=1+2cos(x)-2cos(x)
2cos(x)=1
cos(x)=1/2 (Positive cos are only in the first and 4th quadrants.)
x=π/3,
x=2π - π/3 = 5π/3
Answer:
The answer is "sugar= 200g, flour=600g, and butter=400g".
Step-by-step explanation:
![50\ g \ sugar = 15\ biscuits\\\\3 \times 50 \ g = flour \\\\150\ g = flour\\\\2 \times 50 \ g = butter \\\\ 100 \ g = butter\\\\\frac{60}{15} = 4\\\\ 4 \ \text{times as much}\\\\4 \times 50\ g = 200\ g \ of\ sugar\\\\4 \times 150\ g = 600\ g \ of\ flour\\\\4 \times 100\ g = 400\ g \ of\ butter\\\\](https://tex.z-dn.net/?f=50%5C%20g%20%5C%20sugar%20%3D%2015%5C%20biscuits%5C%5C%5C%5C3%20%5Ctimes%2050%20%5C%20g%20%3D%20flour%20%20%5C%5C%5C%5C150%5C%20g%20%3D%20flour%5C%5C%5C%5C2%20%20%5Ctimes%2050%20%5C%20g%20%3D%20butter%20%5C%5C%5C%5C%20100%20%5C%20g%20%3D%20butter%5C%5C%5C%5C%5Cfrac%7B60%7D%7B15%7D%20%3D%204%5C%5C%5C%5C%204%20%5C%20%5Ctext%7Btimes%20as%20much%7D%5C%5C%5C%5C4%20%20%5Ctimes%2050%5C%20g%20%3D%20200%5C%20g%20%5C%20of%5C%20sugar%5C%5C%5C%5C4%20%20%5Ctimes%20150%5C%20g%20%3D%20600%5C%20g%20%5C%20of%5C%20flour%5C%5C%5C%5C4%20%20%5Ctimes%20100%5C%20g%20%3D%20400%5C%20g%20%5C%20of%5C%20%20butter%5C%5C%5C%5C)
Hello!
We are going to need to use a trigonometric ratio for this. There are three of them - sin, cos, and tan. Sin: opposite / hypotenuse Cos: adjacent/hypotenuse Tan: opposite/adjacent
So here, we are given an angle. We are also given one side length. That side is opposite the angle, and we are trying to find the hypotenuse. Therefore, we use the ratio sine.
First, do sin(40). This'll give us the ratio of the side length of the opposite / the side length of the hypotenuse. sin (40) = 0.64278761.
Now, we know that the side length of the opposite / the side length of the hypotenuse = 0.64278761. We also know the side length of the opposite, or the length of highway 1: 5.6. Therefore, we know 5.6 / side length of the hypotenuse = 0.64278761.
Now, solve for the side length of the hypotenuse. I'll just be using h to represent it.
5.6 / h = 0.64278761
5.6 = 0.64278761h
5.6 / 0.64278761 = h
5.6 / 0.64278761 = h
h = 8.71205343 = about 8.7
Therefore, your answer is A.
Hope this helps!