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.
2) angle T Congruent to angle D; 3)angle s and angle u
Answer:
Step-by-step explanation:
a) area of the rectangle = length × breadth
Therefore area should be = 12cm × 6cm
Which should give you the answer 72centimetre squared.
b) area of triangle A = 1/2 × b × h
So that is 1/2 × 3 × 6
Which is 18 centimetres × 1/2
Which is 9 centimetres squared
c) area of triangle B = 1/2 × b × h
So 1/2×3×6=18
Now 1/2×18 should give you 9 centimetres squared
d) therefore the area of the parallelogram = 72+9+9=90 centimetres squared
Therefore the area of the parallelogram is 90 centimetres squared
Answer:
x = −2 ± 3i √ 2
Thats what i got. Let me know if its wrong :)
The value of x in the diagram is 15° and the value of y is 6°
Please find attached the diagram used in answering this question
The figure given is a triangle. A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees
The first step is to determine the value of x.
The value of x can be determined using the exterior angle.
The sum of the two interior opposite angles in a triangle is equal to the external angle
(4x - 7)° + 86° = (9x + 4)°
Combine similar terms
9x - 4x = 86 - 7 - 4
5x = 75
x = 15°
To determine the value of y, first substitute for the value of x in the angle (4x - 7)°
(4x - 7)° = (4x15) - 7 = 53°
The sum of angles in a triangle add up to 180°
53° + 86 + (7y - 1) = 180°
add like terms
138 + 7y = 180
7y = 42
y = 6°
To learn more, please check: brainly.com/question/23688688?referrer=searchResults
