The radius of the sphere decreases at the rate of 6 m/ sec
That is, 
Surface Area of the sphere of radius r is given by 
Differentiating with respect to t,


Answer:
x ≈ 48.2°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x =
=
, then
x =
(
) ≈ 48.2° ( to the nearest tenth )
PART - A : tent - 1 volume = 400 cubic ft
Tent -2 volume = 384 cubic ft.
PART - B : I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume
<u>Step-by-step explanation:</u>
PART - A:
tent 1 :
Base = 10 x 10ft
Height= 12 ft
Volume = (1/3) (10x 10) (12)
= (1/3) (100) (12)
= 400 cubic ft.
Tent 2:
Base = 12 x 12 ft
Height= 8 ft.
Volume = (1/3) (12 x 12) (8)
= 384 cubic ft.
PART - B:
I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume
Hello once again!
When you see a question like this, you need to find the equation of the straight line.
The formular used is y = mx + c
Where
m = slope
c = constant
First find the slope, since it's a straight line, any 2 coordinates can be used.
Now we need to substitude in the slope, and one of the coordinate you used to find the slope, to the formular to find the constant.
In this case i'm using the coordinate
(-2, 16)
y = mx + c
16 = -6(-2) + c
16 = 12 + c
c = 4
∴ The equation of the line is y = -6x + 4
The next step is to simply substitude in the x = 8 to the equation to find y.
y = -6(8) + 4
y = -48 + 4
y = -44
Step-by-step explanation:
3a-50=8
3a=50+8
3a=58
a= 19and 1/3