The surface area of the image after the dilation is 219 3/8 m²
<h3>What is an
area?</h3>
Area is the amount of space occupied by a two dimensional shape or object.
The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²
The surface area of the image after the dilation = scale factor² * 390 m² = (3/4)² * 390 m² = 219 3/8 m²
The surface area of the image after the dilation is 219 3/8 m²
Find out more on area at: brainly.com/question/25292087
I dont know if this help you or not
Answer: The answer is 314.28 cm² (approx.).
Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.
We need to find the area 'A' of the circular cross-section of the pipe.
Given, diameter of the circular section is
![\textup{d}=20~\textup{cm}.](https://tex.z-dn.net/?f=%5Ctextup%7Bd%7D%3D20~%5Ctextup%7Bcm%7D.)
So, the radius of the circular cross-section will be
![\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.](https://tex.z-dn.net/?f=%5Ctextup%7Br%7D%3D%5Cdfrac%7B%5Ctextup%7Bd%7D%7D%7B2%7D%3D%5Cdfrac%7B20%7D%7B2%7D%3D10~%5Ctextup%7Bcm%7D.)
Therefore, cross-sectional area of the pipe is
![\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.](https://tex.z-dn.net/?f=%5Ctextup%7BA%7D%3D%5Cpi%20%5Ctextup%7Br%7D%5E2%3D%5Cdfrac%7B22%7D%7B7%7D%2810%29%5E2%3D%5Cdfrac%7B2200%7D%7B7%7D%3D314%5Cdfrac%7B2%7D%7B7%7D%3D314.28~.~.~.~%5Ctextup%7Bcm%7D%5E2.)
Thus, the answer is 314.28 cm² (approx.).
1. In a week there are 7 days. So your andwer would be 21/10. The decimal is 2.1.
Answer:
Step-by-step explanation:
Samantha needs 4/5 yard of fabric to make costumes for the school play.
Let x represent the number of yards of fabric that she has
Let y represent the total number of costumes that she can make from x yards of fabric.
Since one costume require 4/5 yards of fabric, y costumes will require
x ÷ 4/5 = x×5/4 = 5x/4
The equation will be
y = 5x/4
to find how many costumes she can make with 8 yards of fabric, it becomes
y = (5×8)/4
y = 40/4 = 10