Answer: p/4
Step-by-step explanation: you divide the whole perimeter by 4 because a square has 4 sides
Answer:
The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Step-by-step explanation:
Let 
, for 
. 
represents the temperature of the water, measured in degrees Celsius, and 
is the number of salmon swimming upstream to spawn, dimensionless.
We compute the first and second derivatives of the function:
(Eq. 1)
(Eq. 2)
Then we equalize (Eq. 1) to zero and solve for :
And all roots are found by Quadratic Formula:
, 
Only the first root is inside the given interval of the function. Hence, the correct answer is:
Now we evaluate the second derivative at given result. That is:
According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Answer:
42 degrees
Step-by-step explanation:
To find the complement of an angle, subtract that angle from 90.
90 - 48 = 42
Answer:
Step-by-step explanation:
a. 100005
1 x 1000000 + 0 x 100,000 + 0 x 10000 + 0 x 1000 + 0 x 100 + 0 x 10 + 5 x1
1 x 10^6 + 0 x 10^5 + 0 x 10^4 + 0 x 10^3 + 0 x 10^2 + 0 x 10^1 + 5 x 1
= 100,000 + 0 + 0 +0 +0 + 5
b. 84016
8 x 10000 + 4 x 1000 + 0 x 100 + 1 x 10 + 6 x 1
80000 + 4000 + 0 + 10 + 6
c. 9078
9 x 1000 + 0 x 100 + 7 x 10 + 8 x 1
9000 + 0 +7 + 8
d. 113
1 x 100 + 1 x 10 + 3 x 1
100 + 10 + 3
e. 75
7 x 10 + 5 x 1
70 + 5
The area of the sector which is the white triangle adding the shaded region is 68.9/360*π*9.28^2=51.78005(rounding to 5th digit after decimal point for accuracy before we do final round for answer)
The area of the white triangle in the sector has area 1/2*9.28^2*sin(68.9)= 40.17223(rounding to 5 digits again for some accuracy.
Now we take out the white triangle from the sector.
51.78005-40.17223=11.60782
rounding to the nearest tenth we get 11.6 cm^2
Problem done!
Hope this helped and if you have any questions about my explanation just ask in the comment and I will answer.
