Answer:
The volume of this pyramid is 16 cm³.
Step-by-step explanation:
The volume 
of a solid pyramid can be given as:
,
where
is the area of the base of the pyramid, and
is the height of the pyramid.
Here's how to solve this problem with calculus without using the previous formula.
Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.
Refer to the sketch attached. Let the vertical distance from the vertice be 
cm.
- At the vertice of this pyramid,
and the length of a side of the square is also 
. - At the base of this pyramid,
and the length of a side of the square is 
cm.
As a result, the length of a side of the square will be
.
The area of the square will be
.
Integrate the area of the horizontal cross-section with respect to
- from the top of the pyramid, where ,
- to the base, where .
.
In other words, the volume of this pyramid is 16 cubic centimeters.
Answer:
Step-by-step explanation:
Given
Equations are 
and 
take
Put the value of y in another equation
Put the value of x in y
Hence,
round too? hundreds? thousand? ones? where do we round too? i need to know so i can help you :)
Answer:
<h2>y = 2.8</h2><h2>x = 14</h2>
Step-by-step explanation:
To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.
10y = 5y + 14
First, we need to get all the variables on one side of the equation, so we subtract 5y.
5y = 14
Divide by 5
y = 14/5 or 2 4/5 or 2.8
Now for the x part.
2x = x + 14
Subtract 1x
x = 14
Now we check our answer.
2(14) = 5(2.8) + 14
28 = 14 + 14
28 = 28
Because 28 equals 28, our solutions are correct.
Answer:
$75.65
Step-by-step explanation:
1 - .15 = .85 = 85% of the price is what you pay
89 • .85 = $75.65
