1/2 because you can simplify 4/8 and do 4 divided by 4 and 8 divided by 4 which is 1/2
<em>48.25 in^2</em>
Step-by-step explanation:
The formula for the surface area of a pyramid is:
![SA=B+\frac{1}{2}l(number of base sides)(b)](https://tex.z-dn.net/?f=SA%3DB%2B%5Cfrac%7B1%7D%7B2%7Dl%28number%20of%20base%20sides%29%28b%29)
B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.
![A=\frac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh)
![A=.5*5*4.3](https://tex.z-dn.net/?f=A%3D.5%2A5%2A4.3)
A = 10.75
Now we can plug in 10.75 for B.
![SA=10.75+.5*5*3*5](https://tex.z-dn.net/?f=SA%3D10.75%2B.5%2A5%2A3%2A5)
The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.
![SA=](https://tex.z-dn.net/?f=SA%3D)
48.25 in^2
Answer:
![h = \frac{3V}{s^2}](https://tex.z-dn.net/?f=%20h%20%3D%20%5Cfrac%7B3V%7D%7Bs%5E2%7D%20)
height (h) = 5 cm
Step-by-step explanation:
Volume of prism in terms of h (height):
![V = \frac{1}{3}s^2h](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cfrac%7B1%7D%7B3%7Ds%5E2h%20)
![V = \frac{s^2h}{3}](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cfrac%7Bs%5E2h%7D%7B3%7D%20)
Multiply both sides by 3
![V*3 = \frac{s^2h}{3}*3](https://tex.z-dn.net/?f=%20V%2A3%20%3D%20%5Cfrac%7Bs%5E2h%7D%7B3%7D%2A3%20)
![3V = s^2h](https://tex.z-dn.net/?f=%203V%20%3D%20s%5E2h%20)
Divide both sides by s^2
![\frac{3V}{s^2} = \frac{s^2h}{s^2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3V%7D%7Bs%5E2%7D%20%3D%20%5Cfrac%7Bs%5E2h%7D%7Bs%5E2%7D%20)
![\frac{3V}{s^2} = h](https://tex.z-dn.net/?f=%20%5Cfrac%7B3V%7D%7Bs%5E2%7D%20%3D%20h%20)
![h = \frac{3V}{s^2}](https://tex.z-dn.net/?f=%20h%20%3D%20%5Cfrac%7B3V%7D%7Bs%5E2%7D%20)
Find height (h) given V = 60 cm³ and side length (s) = 6 cm. Plug the values into the formula above:
![h = \frac{3(60)}{6^2}](https://tex.z-dn.net/?f=%20h%20%3D%20%5Cfrac%7B3%2860%29%7D%7B6%5E2%7D%20)
![h = \frac{180}{36}](https://tex.z-dn.net/?f=%20h%20%3D%20%5Cfrac%7B180%7D%7B36%7D%20)
![h = 5](https://tex.z-dn.net/?f=%20h%20%3D%205%20)
Height = 5 cm
Given:
Rule of transformation is
.
Point = (-5,6)
To find:
The missing values in the given steps of transformation.
Solution:
Step 1: A: (-5, 6).
![x:-5,y:6](https://tex.z-dn.net/?f=x%3A-5%2Cy%3A6)
Step 2: Substitute x and y into ![(x+4,y-2):](https://tex.z-dn.net/?f=%28x%2B4%2Cy-2%29%3A)
![(-5+4,6-2)=(-1,4)](https://tex.z-dn.net/?f=%28-5%2B4%2C6-2%29%3D%28-1%2C4%29)
Step 3: Do the math:
Point A' is at (-1 ,4 ).
Therefore, the coordinates of the point (-5,6) after the transformation are (-1,4).