Answer:
Step-by-step explanation:
100.5 in ^2
Answer:
45°
Step-by-step explanation:
There are sets of formulas you can refer to for different situations like this. In your case here, you need to apply the formula and solve for the unknown. My work is in the attachment.
Answer:
SA = 680 units^2
V =1200 unit^3
Step-by-step explanation:
If the radius is 5 then the diameter is 2r = 2*5 = 10
The height would remain the same
Surface area of a prism is given by
SA = 2 (lw+lh+hw)
l =d = 10 w = d = 10 h = 12
SA = 2 ( 10*10 + 10 * 12+ 12* 10)
SA = 2( 100+120+120)
SA = 2(340)
SA = 680 units^2
V = l*w*h = 10*10*12 =1200 unit^3
Answer:
Try 120
Step-by-step explanation:
There are five dashes in between 100 and 200. Count up by 20s
Answer:
96.46
Step-by-step explanation:
Volume of the Gallon =140 gallons
At time t=0, V(0)=40 gallons

V(t)=2t+k, Where K is a constant.
Since V(0)=40
V(0)=2(0)+k=40
k=40
V(t)=40+2t
The Change in Salt Concentration

Rearranging

Using Integrating Factor: 

![\int d[C(40+2t)]=\int(120+6t)dt\\C(40+2t)=120t+3t^2+k_0\\C(t)=\frac{120t+3t^2}{40+2t}+\frac{k_0}{40+2t}](https://tex.z-dn.net/?f=%5Cint%20d%5BC%2840%2B2t%29%5D%3D%5Cint%28120%2B6t%29dt%5C%5CC%2840%2B2t%29%3D120t%2B3t%5E2%2Bk_0%5C%5CC%28t%29%3D%5Cfrac%7B120t%2B3t%5E2%7D%7B40%2B2t%7D%2B%5Cfrac%7Bk_0%7D%7B40%2B2t%7D)
At t=0, C(0)=0.125, k_0=5

At V(t)=140
V(t)=40+2t=140
t=50

Just the tank overflows, C(t)=96.46