Answer: 0.8 radians
Step-by-step explanation:
To solve this exercise you must apply the formula shown below:

Where S is the arc lenght, r is the radius of the circle and
is the central angle in radians.
Solve for the central angle:

Now, when you susbtitute the value of the arc length and the radius, you obtain that the central angle is:

Answer:
0.026 m / min.
Step-by-step explanation:
Volume V = π7^2h
V = 49πh
dV/dh = 49π
Rate that the volume is increasing is 4 m3/min.
So dV/dt = 4
dV/dt = dh/dt * dV/dh
4 = dh/dt * 49π
dh/dt = 4/49π
= 0.026 m / min.
Answer:
<h3>6 degrees</h3>
Step-by-step explanation
Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.
The sum of this angles must give 180 degrees as shown;
7x-15 + 24x + 9 = 180
7x+24x-15+9 = 180
31x-6 = 180
31x = 180+6
31x = 186
x = 186/31
x = 6
Hence the value of x is 6 degrees
Answer:

Step-by-step explanation:
y-0.8x=0.5
y*10-0.8x*10=0.5*10
10y-8x=5
10y-8x+8x=5+8x
10y/10=5/10+8x/10
y=5+8x/10
5*5+8x/10-2.5
8x+5/2-2.5=4x
y=5+8x/10, x=x
Answer:
I think it's just E.
Step-by-step explanation:
When you name triangles, you would often put a Δ and then the letters of the 3 angles. The only answer that fits that criteria is E.