Answer:
137/(36π) ft/s
Step-by-step explanation:
The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...
A = 4πr² = 4π(6 ft)² = 144π ft²
Then the relationship above is ...
dV/dt = A·dr/dt
548 ft³/s = (144π ft²)·dr/dt
dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s
A linear pair is a pair of angles that form a line. And since they form a line, when added, they equal 180.
x = one angle....y = the other one
x + y = 180
x = y + 26
time to sub
y + 26 + y = 180
2y + 26 = 180
2y = 180 - 26
2y = 154
y = 154/2
y = 77 <=== this is one angle
x = y + 26
x = 77 + 26
x = 103 <=== and the other one
Step-by-step explanation:
1. 2x - x + 7 = x +3 + 4
Collecting like terms;
2x - x - x = 3 + 4 - 7
2x = 0
x = 0
2. -2(x + 1) = -2x + 5
Expanding the bracket;
- 2x - 2= - 2x + 5
Collecting like terms;
- 2x + 2x = 5 + 2
0 = 7
It has no solution
3. 4x + 2x + 2 = 3x - 7
Collecting like terms;
4x + 2x + 3x = - 7 -2
9x = -9
x = -1
4. 4(2x + 1) = 5x + 3x + 9
Expanding the bracket
8x + 4 = 5x + 3x + 9
Collecting like terms
8x - 5x - 3x = 9 - 4
0 = 5
It has no solution
5. X + 2x + 7 = 3x - 7
Collecting like terms
x + 2x - 3x = - 7 - 7
0 = - 14
It has no solution
I think is 1/8(184+t) that what I got because i factor out the 1/8
Answer:
i think it is 3
Step-by-step explanation:
i drawed a circle and put it into sections
then i saw that to get the 40 degree angle i have to divide it for times to make 8 parts
then i did 12 divided by 4 because divide the circle four time
when i did 12/4 i got 3
and if i am correct
thats the answer