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.
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
B. (13/3 - 3i)
Step-by-step explanation:
Given: (3i - 2/3) - (6i - 5)
Here we have to subtract.
To simplify we have to combine real numbers and complex number(i.e) terms with "i"
= 3i - 2/3 -6i + 5 [distributed the negative sign inside the parenthesis]
= -2/3 + 5 + 3i - 6i[Combine real numbers and complex numbers]
= 13/3 - 3i
Therefore, the answer is B. (13/3 - 3i)
Hope this will helpful.
Thank you.
Answer:
15 Sales
Step-by-step explanation:
225 - 150 = 75
75 / 5 = 15
Answer:
The m∠6 is 60 °.
Step-by-step explanation:
As given in the figure
AB∥CD and m∠3=120°.
As AB and CD are parallel lines and a transversal line passing through AB and CD .
∠ 3 and ∠6 are same side interior angles .
Now by using the property
When two lines are parallel and tansversal passing through parallel lines than same sides interior angles are supplementary .
Thus
∠3 + ∠6 = 180 °
( m∠3=120° )
120 ° + ∠6 = 180 °
∠6 = 180 ° - 120 °
∠6 = 60 °
Therefore the m∠6 is 60 °.
