Answer:
81.87°
Step-by-step explanation:
The angle a line makes with the x-axis is equal to the arctangent of its slope. Here, L1 makes an angle of arctan(0.5) = 26.57° with the x-axis; L2 makes an angle of arctan(-3) = -71.57° with the x-axis. The difference between these angles is ...
26.57° -(-71.57°) ≈ 98.13° . . . . . . all numbers rounded to 2 decimal places
This is an obtuse angle, so the acute angle is ...
180° -98.13° = 81.87°
_____
You can also use the trig formula for the difference of angles. Tan(α) is the slope of the first line, 0.5. Tan(β) is the slope of the second line, -3.
tan(α-β) = (tan(α)-tan(β))/(1 +tan(α)tan(β))
tan(angle) = (0.5 -(-3))/(1 +(0.5)(-3)) = 3.5/(-0.5) = -7
angle = arctan(-7) = -81.87°
The angle between the two lines is 81.87°.
18). 16:80 is the ratio but in simplest form is; 5:0
19). 36:54 is the ratio but in simplest form is; 2:3
20). 12:24 is the ratio but in simplest form is; 1:2
hope that helps:D
Answer:
Step-by-step explanation:
Let’s try to go this way.
For example the number is k. It can be of course any number. So k is between 1 to 6.
The chance of rolling exactly zero ks is: =625/1296;
The chance of rolling exactly one k is: * = 500/1296;
So, the chance of rolling less than two ks is: 1125 / 1296;
So, the chance of rolling at least two ks is: 171 / 1296
The inequality represents x, the number of microwave burritos, and y,
the number of peanut butter sandwiches, she can eat each week is 490x +
700y < 4000. I hope the answer will help.
Answer:
∀(x, y ∈ A ∪ B; x ≠ y) x² − y² ≥ 0
For all (x, y :- A u B; x != y) x^2 - y^2 >= 0
Step-by-step explanation:
So after we factor everything in we find that indeed 6ix9ine is indeed a snitch.