Answer:
x = 27
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is number of sides
Here n = 7 , then
sum = 180° × 5 = 900°
sum the interior angles and equate to 900
3x + 31 + 135 + 5x - 4 + 7x - 64 + 120 + 6x - 8 + 4x + 15 = 900 , that is
25x + 225 = 900 ( subtract 225 from both sides )
25x = 675 ( divide both sides by 25 )
x = 27
Answer:
Step-by-step explanation:
The volume of a sphere is:
(1)
We know that:
- dr/dt = 2 cm/min (increasing rate of radius)
- V = 40 cm³
If we take the derivative of (1) with respect of time t, we ca n find the rate of increase of the volume.
(2)
We also know that the volume is 40 cm³, then using the (1) we can get the radius at this value.
Solving (1) for r, we have:
Finally dV/dt will be:
I hope it helps you!
The answer is the pack of 3 boxes of juice as 12 is 4 times 3 so $1.09 will need to be multiplied by 4. This equals $4.36. While the 12 pack is way too expensive. Then the 24 boxes with costing of 8.79 is more expensive than the first one. So the 3 pack of boxes of juice costing 1.09 is least expensive.
:)
