Answer:
dV/dt = 3×10^2 × 0.5 = 150 in^3/sec
the volume of the cube is increasing at 150in^3/sec
Step-by-step explanation:
Volume V = length l^3
V = x^3
Differentiating both sides;
dV/dt = 3x^2 dv/dt
Given;
x = 10 in
dx/dt = 0.5 in/sec
dV/dt = 3×10^2 × 0.5 = 150 in^3/sec
the volume of the cube is increasing at 150in^3/sec
Answer:
5
Step-by-step explanation:
cause i divided 25 by 5 which gave me 5
Answer:

Step-by-step explanation:
The given function is

By the triangle inequality property,

and the alternate triangle inequality property;

We apply this property to get:

Expand parenthesis to get:

Simplify to get:

Group similar terms to get:


When x>5,

That's;

Answer:
The answer to your question is sin B = 
Step-by-step explanation:
Sine is the trigonometric function that relates the opposite side and the hypotenuse.
In the picture, we have the hypotenuse and the adjacent side, so we must calculate the opposite side using the Pythagorean theorem.
b² = c² - a²
b² = 17² - 15²
b² = 289 - 225
b² = 64
b = 8
Now, we can calculate the sine
sin B = 
sin B = 