9514 1404 393
Answer:
1.9 degrees per second
Step-by-step explanation:
The angle α the line makes with the water can be described by ...
Sin = Opposite/Hypotenuse
sin(α) = 10/(25 -1.9t)
Taking derivatives gives ...
α'·cos(α) = -10(-1.9)/(25 -1.9t)²
Then the rate of change of the angle at t=0 is ...
α' = 19/(25²·cos(α))
Of course, cos(α) = √(1 -sin(α)²) = √(1 -(10/25)²) = √(21/25), so we have ...
α' = 19/(125√21) . . . radians/second
α' ≈ 0.033269 radians/s ≈ 1.90 degrees/s
Answer:
The original length of each side of the equilateral triangle = x =15 inches
Step-by-step explanation:
Let Original length of side of equilateral triangle = x
If it is increased by 5 inches, the length will become = x+5
Since in equilateral triangle all the ides have same length so,
New Length of side 1 = x+5
New of side 2 = x+5
New Length of side 3 = x+5
Perimeter of triangle = 60 inches
We need to find the value of x
The formula used is: 
Putting values in formula and finding x

So, the original length of each side of the equilateral triangle = x =15 inches
Check the attachment for answer.
Answer:
Step-by-step explanation:
Thay are:-
10*5^1, 10*5^2 , 10*5^3, 10*5^4
= 50, 250, 1250 and 6250 answer