You can show that 
by constructing a triangle.
Take two points, O(0, 0) and A(1, 0), and let B be the point on the unit circle such that the angle between the line segments OA and OB is 
radians.
Since both A and B lie on the circle, the line segments OA and OB both have length 1 (same as the circle's radius). We finish constructing the triangle by connect A and B.
Since OB and OA have the same length, triangle OAB is isosceles, but more than that, it's also equilateral. Why? Because the interior angles of any triangle always add to 
radians. We know one of the angles is radians, which leaves a contribution of 
radians between the remaining angles A and B. Angles A and B must be congruent (because OAB is isosceles), which means they also have measure radians.
Next, draw an altitude of the triangle through point B, and label the point where it meets the "base" OA, C. Since OAB is equilateral, the altitude BC is also a perpendicular bisector. That means OC has length 
, and by definition of 
we have
Answer: x = (1,9]
Step-by-step explanation: If x is all real numbers greater than 1 (simply: x is greater but not equal to 1) then it is 1 < x. And if x is less than or equal to 9 then its x ≤ 9. To translate 1 < x ≤ 9 into interval notation, you need to keep in mind that parentheses are for these symbols: <>. And brackets are for these symbols: ≤≥. With that in mind, your answer is (1,9]. Also, keep in mind that interval notation goes from lowest value number to highest, so you wouldn’t write this notation as [9,1).
Answer:$27.50
Step-by-step explanation:
$25.00 x .10= $2.50
$25.00 + $2.50=$27.50
Answer:
18 minutes
Step-by-step explanation:
Given distance (D) and average speed (S) then time (T) is calculated as
T = 
= 
= 
hour
hour = × 60 min = 3 × 6 = 18 mins
So I assume you are trying to find the equation of the line.
So you are gonna use this equation:
y=mx+b
So the x and y are your x and y coordinate pair and the m is the slope. So now you just substitute and solve for b:
4=8(7)+b
4=56+b
subtract 56 on both sides
-52=b
so now lets plug this into the equation of the line:
y=8x+(-52)
hope this helps!
