Answer:
The length of the statue's arm is<u> 26.22 ft.</u>
Step-by-step explanation:
Let the length of the statue's arm be 'x'.
Given:
Height of statue is,
Height of male is,
Length of the male's arm is,
Now, as the size of Sam Houston's statue is proportional to that of an adult male, therefore, their heights and arm lengths will also be in proportion. So,
Now, plug in the given values and solve for 'x'.
Therefore, the length of the statue's arm is 26.22 ft
Answer:
2/15
Step-by-step explanation:
1/3-1/5
5/15-3/15
= 2/15
Answer:
Step-by-step explanation:
Consider the revenue function given by . We want to find the values of each of the variables such that the gradient( i.e the first partial derivatives of the function) is 0. Then, we have the following (the explicit calculations of both derivatives are omitted).
From the first equation, we get, .If we replace that in the second equation, we get
From where we get that . If we replace that in the first equation, we get
So, the critical point is . We must check that it is a maximum. To do so, we will use the Hessian criteria. To do so, we must calculate the second derivatives and the crossed derivatives and check if the criteria is fulfilled in order for it to be a maximum. We get that
We have the following matrix,
.
Recall that the Hessian criteria says that, for the point to be a maximum, the determinant of the whole matrix should be positive and the element of the matrix that is in the upper left corner should be negative. Note that the determinant of the matrix is and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum
Its 105° because the rhombus is essentially a square or rectangle of sorts and at least 2 sides have to be alike