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.
Calll x the smaller negative number.
The larger number will be x + 8
The product will be x(x+8) = 308
An the equation:
x^2 + 8x = 308
x^2 + 8x - 308 =0
If you solve that equation you will get x = -22 and x = 14.
The result that you are looking is the negative, x = -22.
The larger number is -22 + 8 = -14.
(-22)*(-14) = 308
Answer: x^2 + 8x - 308 =0
Answer:
ITS THE SECOND ONE
Step-by-step explanation:
5 goes into 500 a total of 100 times.
5 is 1/100 of 500.
As a percentage, this is expressed as 1%.
Hope this helps!
Answer:
y=-x+5 if parallel and perpendicular
if needed in point slope form : y-7 = -1(x+2)
Step-by-step explanation:
