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


Answer:
the no of puppets that could be made with his string is 21
Step-by-step explanation:
Given that
There is 7 yards
And, it needs one -third of string for each of his puppets
= 7 × 3
= 21 puppets
We simply multiply the 7 yards with the 3 so that the no of puppets could come
hence, the no of puppets that could be made with his string is 21
Let x be the mass of the paperbacks and y be the mass of the textbook.
20x + 9y = 44.4 ----------- (1)
25x + 10y = 51 -------------(2)
(1) x 10:
200x + 90y = 444 --------(1a)
(2) x 9:
225x + 90y = 459 --------(2a)
(2a) - (1a):
25x = 15
x = 0.6 -------- sub into (1)
20 (0.6) + 9y = 44.4
12 + 9y = 44.4
9y = 44.4 - 12
9y = 32.4
y = 3.6
So the paperback's mass is 0.6 pounds and textbook is 3.6 pounds
If the triangle has a right angle, the measure of the third side is 12.8 inches
Answer:
x-ints: (2,0) & (4,0)
y-int: (0,-8)
vertex: (3,1) *highest point of the graph
line of symmetry: x = 3 *x-value in the middle of x-ints
a value is -# *if parabola points done it's negative, if it points up it's positive