Answer:
Step-by-step explanation:
Combining like-terms gives us 
Hope this helped!
Answer:
(c)
Step-by-step explanation:
4 x 2 equals 8 8 -2 equals 6 6 4 24
A ratio indicates how many times one number contains another examples 4:3 2:3
Answer:
2 and 6, 4 and 8, 1 and 5, 3 and 7
Step-by-step explanation:
The angle rule of corresponding angles states that the corresponding angles are equal if a transversal cuts two parallel lines.
In this example, lines m and l are two parallel lines
line n cuts through both, making every other angle corresponding and congruent, etc...
Since this problem talks about rates of change, then the concept of calculus is very useful. But first, let's find at least two equations in order to solve this system. The first one is the area of a triangle written as
A = 1/2 ab sin θ, where a and b are the sides that from the angle θ. So, we substitute a=6 and b=10. That makes it:
A = 1/2 (6)(10)sin θ = 30 sin θ
Now, you differentiate implicitly (both sides simultaneously) with respect to time.
dA/dt = 30 cosθ (dθ/dt)
We replace dθ/dt = 0.06 rad/s, as mentioned in the problem. Then, the rate of change of the area of the triangle when θ = π/3 rad with respect to time is
dA/dt = 30cos(π/3) (0.06)
dA/dt = 1.8 m²/s
Therefore, the rate of change of the area of the triangle is 1.8 m² per second.
