Answer:
The volume in such a package is 27648 in³
Step-by-step explanation:
Consider the provided information.
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.
Let the dimension are x by x by y.
Where x is the variable for the square base package and y is the variable for length.
Thus l=x, b=x and h=y
Then the volume of the box is: 
(∵V=lbh)
The maximum combined length and girth is 144.
Therefore, 
Substitute the value of y in volume of the box.
Substitute V'(x)=0.
Now apply second derivative test.
(Min)
(Max)
Hence, the maximum volume is at x=24
If x=24 then 
Substituting value of x = 24 and y = 48 gives 27648.
Hence, the volume in such a package is 27648 in³
9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
Answer:
2 2/3
Step-by-step explanation:
Make them into improper fractions first.
11/2 - 17-6
Then multiply 11/2 so that they have common denominators.
33/6 - 17/6
Then solve.
33/6 - 17/6 = 16/6
Then convert back into a mixed number.
2 4/6 or 2 2/3
Answer:
sum of two even numbers will always be even. conjecture just means to make a generalization based on patterns
