Answer:
The first plan of $49 will be best plan for her.
Step-by-step explanation:
Katherine used 1479 minutes call in the last 6 months.
So, the average monthly call that Katherine made is 
minutes.
Now, there are two plans for mobile recharge.
One is 250 minutes call time for $49 and the other is 350 minutes call time for $65.
Since 246.5 < 250 and Katherine does not want to spend more for minutes she won't use, then the first plan of $49 will be the best plan for her. (Answer)
Answer: v = 32 degrees
Step-by-step explanation:
The polygon theorem states that for any polygon with n sides, the sum of the interior angles is (n - 2) × 180
The given polygon has 6 sides. Therefore, n = 6
The sum of the angles in the polygon is
(6 - 2) × 180 = 3 × 180 = 540 degrees
Therefore,
119 + 134 + 108 + v + 47 + 2v + 2v - 28
Collecting like terms, it becomes
119 + 134 + 108 + 47 - 28 + v + 2v + 2v = 540
380 + 5v = 540
5v = 540 - 380
5v = 160
v = 160/5
v = 32 degrees
Answer:
pretty sure its (6.4,4.7)
9514 1404 393
Answer:
- slope: -2/3
- y-intercept: -1
Step-by-step explanation:
The line crosses the y-axis 1 unit below the x-axis. That makes the y-intercept be -1.
The line crosses through another grid intersection 3 units to the right and 2 units down from the y-intercept. That is, the slope is ...
m = rise/run = -2/3
The slope is -2/3; the y-intercept is -1.
This is a really interesting question! One thing that we can notice right off the bat is that each of the circles has the same amount of area swept out of it - namely, the amount swept out by one of the interior angles of the hexagon. Let’s call that interior angle θ. We know that the amount of area swept out in the circle is proportional to the angle swept out - mathematically
θ/360 = a/A
Where “a” is the area swept out by θ, and A is the area of the whole circle, which, given a radius of r, is πr^2. Substituting this in, we have
θ/360 = a/(πr^2)
Solving for “a”:
a = π(r^2)θ/360
So, we have the formula for the area of one of those sectors; all we need to do now is find θ and multiply our result by 6, since we have 6 circles. We can preempt this but just multiplying both sides of the formula by 6:
6a = 6π(r^2)θ/360
Which simplifies to
6a = π(r^2)θ/60
Now, how do we find θ? Let’s look first at the exterior angles of a hexagon. Imagine if you were taking a walk around a hexagon. At each corner, you turn some angle and keep walking. You make 6 turns in all, and in the end, you find yourself right back at the same place you started; you turned 360 degrees in total. On a regular hexagon, you’d turn by the same angle at each corner, which means that each of the six turns is 360/6 = 60 degrees. Since each interior and exterior angle pair up to make 180 degrees (a straight line), we can simply subtract that exterior angle from 180 to find θ, obtaining an angle of 180 - 60 = 120 degrees.
Finally, we substitute θ into our earlier formula to find that
6a = π(r^2)120/60
Or
6a = 2πr^2
So, the area of all six sectors is 2πr^2, or the area of two circles with radii r.
