Step-by-step explanation:
the x and y-axis are always perpendicular to each other. Meaning that the angle between the x an y-axis is always 90 deg
the angle here shows that it starts on the x-axis in quadrant 1 and goes counterclockwise to the y-axis
since it doesnt go beyond the first quadrant, it means that it must be less than 90 deg
so it must be 80 deg
Answer:
7.5 m
Step-by-step explanation:
circumference = 360/72 × 3π = 15π
so the radius of the circle =
15π / 2π = 7.5 m
Answer:
D. 16 years old
Step-by-step explanation:
<u>Step 1:</u> Let T be Tien's age and J as Jordan's age (today),
<u>Step 2:</u> Let T be Tien's age and J as Jordan's age (in 2 years),
![T+2=\frac{1}{3} (J+2)](https://tex.z-dn.net/?f=T%2B2%3D%5Cfrac%7B1%7D%7B3%7D%20%28J%2B2%29)
![T=\frac{1}{3}(J+2)-2](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B1%7D%7B3%7D%28J%2B2%29-2)
<u>Step 3:</u> As their age differences will always be similar we can have the two equations above equal to find Jordan's age,
![\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20J%3D%5Cfrac%7B1%7D%7B3%7D%28J%2B2%29-2%5C%5C%5Cfrac%7B1%7D%7B4%7DJ-%5Cfrac%7B1%7D%7B3%7DJ%3D%5Cfrac%7B2%7D%7B3%7D%20%20-2%20%5C%5C-%5Cfrac%7B1%7D%7B12%7DJ%3D%20-%5Cfrac%7B4%7D%7B3%7D%20%5C%5C%5C%5CJ%3D16)