Answer:
Part c)
Part d) or
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to
where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>
substitute
Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to
we have
substitute
-----> exact value
<em>Find the approximate value</em>
assume
Combine like terms and then divide out the coefficient to solve for n
Answer:
2) The domain would only include positive integers
Step-by-step explanation:
y cost for x person
x can't be negative or fraction.
9514 1404 393
Answer:
- sides: 12 feet
- front: 28 feet
Step-by-step explanation:
Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...
P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle
80 = 2(x + (2x+4)) . . . . . with values from the problem filled in
40 = 3x +4 . . . . . . . . divide by 2, collect terms
36 = 3x . . . . . . . . . subtract 4
12 = x . . . . . . . . . divide by 3. This is the length of the side fence.
2x +4 = 2(12) +4 = 28
The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)
Answer:
MKL = 36°
Step-by-step explanation:
(3x + 6) + (6x + 12) = 54°
3x + 6x + 6 + 12 = 54
9x + 18 = 54
9x = 54 - 18
9x = 36
x = 36/9
x = 4
MKL = 6x + 12
MKL = 6(4) + 12
MKL = 24 + 12
MKL = 36°