Answer:
- 2–9 7π/6
- 3–7 2π/3
- 4–6 π/3
- 1–4 π/2
- 5–10 5π/6
Step-by-step explanation:
The angle between numbers on an analog clock is π/6 radians. So, the angles of interest are ...
2 to 9 : seven numbers : 7π/6 radians
3 to 7 : four numbers : 4π/6 = 2π/3 radians
4 to 6 : two numbers : 2π/6 = π/3 radians
1 to 4 : three numbers : 3π/6 = π/2 radians
5 to 10 : five numbers : 5π/6 radians
Answer:
(-1.92, 1.08)
Step-by-step explanation:
The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:
r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs
In your triangle, the inradius is ...
r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452
Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...
incenter ≈ (-1.92, 1.08)
Answer:
Choice C Rational
Step-by-step explanation:
The answer is B because -3 -8 = -11.
(-y+5x3)+(7.2y-9)=6.2y+n
(-y+15)+(7.2y-9)=6.2y+n
since you're adding the two parentheses, you don't need to have them there
-y+15+7.2y-9=6.2y+n
7.2y-y +15-9 =6.2y+n
6.2y + 6 =6.2y+n
6.2y - 6.2y -n = -6
-n=-6
n=6