If the diffrence in the side lenghts of two squares is 10,and the sum of the side lenghts is 18, what are the side lengths
1 answer:
Answer:
The side of first square =14 units
side of second square =4 units
Step-by-step explanation:
We have given two squares,
A square have all its four sides equal and at right angles.
Let the side of first square be 'a'
and the side of second square be 'b'
Given:
equation:1
equation:2
Solving equation:1
a=10+b equation:3
Putting 'a' in equation:2
Putting 'b' in equation:3
So, the side of first square is 14 units and
side of second square is 4 units
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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:
or 5.5√2
Step-by-step explanation:
We can see that this is a 45-45-90 triangle
refer to the image below to see what that means
we can see that (in the image) 11=x√2
which means that x= 11/√2
to rationalize this fraction we mulitply both sides by √2 to get
or 5.5√2
