X=7 and x+1=8 are two consecutive integers.
Answer:
3
Step-by-step explanation:
(2/3)/(2/9) = (2/3) * (9/2) = 3
<u>Given</u>:
Let A denote the angle of the given triangle which measures ∠A = 81°
Let B denote the angle which measures ∠B = 40°
The length of the side a = x.
The length of the side b = 7 cm.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the law of sine formula.
Applying the law of sine, we have;

Substituting the values, we have;

Simplifying, we get;

Cross multiplying, we have;



Thus, the length of the side x is 10.8 cm.
Answer:
1 m/s
Step-by-step explanation:
the area of the triangle = A = ¹/₂ab
where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²
now we find the derivative of both sides:
dA/dt = ¹/₂ ⋅ dx²/dt
dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt
dA/dt = x ⋅ dx/dt = x ⋅ velocity
we are told that x = 5 m, and dA/dt = 5 m²/s
velocity = dA/dt / x
velocity = 5 m²/s / 5 m = 1 m/s
Answer: Yes, it can.
Step-by-step explanation: