Answer:
16) x=13.5 17) x=17
Step-by-step explanation:
*The sum of the interior angles of a 5 sided polygon is 540 degrees.
16) The angle measures are 10x-1, 6x+5, 6x+5, 8x+9, and 8x+9. We add these values up to get 38x + 27. Because the sum of the interior angles must be 540, we set an equation of 38x + 27 = 540. From here, we can make it 38x = 513. Then we divide out the 38 and that leaves us with x = 13.5.
17) In this 5 sided polygon, the angle measures are 139, 5x, 92, 71, and 9x. Like number 16, we add these up to get a sum of 14x + 302 = 540. We subtract out the 302, leaving us with the equation 14x = 238. Finally, we divide out the 14 to get x = 17.
I hope the numbers are right since the values are a bit blurry! If not, just use the same work process to get your answer :)
163,000 is that rounded to the nearest hundred.
Answer:
Volume = 6783.27inch³
H = 6.951inch
L = 51.098inch
W = 19.098inch
Step-by-step explanation:
From the given information:
Let h = side length and height of the box
L = length of the box
W = width of the box
V = volume of the box
We have that:
L = 65-2h
W = 33-2h
V = L×W×h
Therefore we have
V = (65-2h)(33-2h)×h
V = (2145-130h-66h+4h²)×h
V = 2145h-196h²+4h³
By differentiating V w.r.t h, we have
V' = 2145-392h+12h²
V = 12h²-392h+2145
Using Almighty formula we have
h = 392+/-√392²-4(12)(2145)/2(12)
h = 6.951 or 25.716
Thus, we find L,W and V.
We use the least value of h in order not to get a negative value of volume, length and width
L = 65-2h = 65-2(6.951) = 51.098
W = 33-2h = 33-2(6.951) = 19.098
V = LWH = 51.098×19.098×6.951 = 6783.2696inches
Nice, Disney! 8:00 am*3:20-45= answer.
First generation: 3
Second generation:
Third generation:
Fourth generation:
And so on. The general formula for the
th generation is
. So by the 15th generation, you should expect around
geese.