Geometry helps people understand life u are short and don’t know how life helps u
Answer:
275 m^3
Step-by-step explanation:
The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.
First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.
In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.
Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so
V=(1/3)(75/2)*22=275
Given:
The equation of line is
![7x-5=4y-6](https://tex.z-dn.net/?f=7x-5%3D4y-6)
To find:
The x and y-intercept of the given line.
Solution:
We have,
![7x-5=4y-6](https://tex.z-dn.net/?f=7x-5%3D4y-6)
Putting x=0, we get
![7(0)-5=4y-6](https://tex.z-dn.net/?f=7%280%29-5%3D4y-6)
Add 6 on both sides.
![0-5+6=4y](https://tex.z-dn.net/?f=0-5%2B6%3D4y)
![1=4y](https://tex.z-dn.net/?f=1%3D4y)
Divide both sides by 4.
![\dfrac{1}{4}=y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%3Dy)
So, the y-intercept is
.
Putting y=0 in given equation, we get
![7x-5=4(0)-6](https://tex.z-dn.net/?f=7x-5%3D4%280%29-6)
Add 5 on both sides.
![7x=-6+5](https://tex.z-dn.net/?f=7x%3D-6%2B5)
![7x=-1](https://tex.z-dn.net/?f=7x%3D-1)
Divide both sides by 7.
![x=\dfrac{-1}{7}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-1%7D%7B7%7D)
So, the x-intercept is
.
Answer:
![y = \frac{2}{z} - \frac{x}{z}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7Bz%7D%20-%20%5Cfrac%7Bx%7D%7Bz%7D)
Step-by-step explanation:
Given
![x + zy = 2](https://tex.z-dn.net/?f=x%20%2B%20zy%20%3D%202)
Required
Rewrite to show y-intercept
We have: ![x + zy = 2](https://tex.z-dn.net/?f=x%20%2B%20zy%20%3D%202)
Subtract x from both sides
![zy = 2-x](https://tex.z-dn.net/?f=zy%20%3D%202-x)
Divide both sides by z
![y = \frac{2}{z} - \frac{x}{z}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7Bz%7D%20-%20%5Cfrac%7Bx%7D%7Bz%7D)
<em>The y intercet is: </em>
<em></em>