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.
I can’t answer anything from my side so I will guide you the best I can! Measure the highlighted lines on the image. Then record the numbers into the correct areas(length,width,height). Then multiply all of the numbers above. That’s how you answer question 3. I’m sorry that I can’t do much more on my side.
Step-by-step explanation:
6x+x=34+1
7x=35
x=35/7
x=5
Hence this equation has only one solution
Answer:
see explanation
Step-by-step explanation:
Assuming the fractions are being multiplied
Factorise the denominators of both fractions
x² - 3x - 10 = (x - 5)(x + 2)
x² + x - 12 = (x + 4)(x - 3)
The product can now be expressed as
× 
Cancel (x - 5) and (x + 2) on the numerators/ denominators, leaving
= 
Answer:

Step-by-step explanation:
The given equation is 4 + 2/3 x = -5
Taking variable on one side and constants on other side, we get


The number in decimal form is given by -13.5
The number in fraction form is given as 