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°.
Answer:
g(x) = 86·1.011055^x
Step-by-step explanation:
So we don't confuse ourselves, we'll call the growth function by day g(x). If x is to represent days, then x/7 represents weeks, and we can write ...
g(x) = f(x/7) = 86·1.08^(x/7)
g(x) = 86·(1.08^(1/7))^x
g(x) = 86·1.011055^x
Answer:
16 meters
Step-by-step explanation:
5+3+5+3= 16 meters
Answer: pie chart
Step-by-step explanation:
Answer:
$102.33
Step-by-step explanation:
586= 4t + 2(t+7)
586= 4t +2t +14= 6t +14
572= 6t
95.33=t
adult ticket = t +7