Let's test it out.
Our first pentagonal prism will have a base edge length of 3 in and a height of 3 in. One formula I found for the surface area of a pentagonal prism is
, where <em>a</em> is the base edge length and <em>h</em> is the height. I was able to simplify the term being multiplied to <em>a</em><em>² </em>like this:
The formula looks like this now:
. We can plug in our values for <em>a </em>and <em>h </em>to find the surface area of the prism:
The surface area of our initial prism is approximately 76 in². Let's quadruple the dimensions (<em>a</em> is 12 and <em /><em>h </em>is 12) and plug them into the formula:
The surface area of the new prism is approximately 1215 in². To finally answer this question, let's divide the second prism's surface area by the first's to see if we get 8. The first prism's surface area should fit into the second's about 8 times if the statement is true:
1215 ÷ 76 ≈ 16
The statement is incorrect. If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by ~16, not 8.
Answer:
|x| ≥ 7
Step-by-step explanation:
Taking the absolute value means that any value of x will always be positive, meaning that the absolute value of -7 or less would be 7 or greater, which satisfies the inequality above and line graph.
Answer:
Arsenios prefers pepperoni pizza to cheese pizza.
Step-by-step explanation:
Utils are units of utility that show the satisfaction that a consumer gets from using a product. As Arsenios assigns 70 utils per slice from eating pepperoni pizza versus 50 utils from eating cheese pizza, this indicates that he gets more satisfaction from eating pepperoni pizza and because of that, the answer is that we can conclude that Arsenios prefers pepperoni pizza to cheese pizza.
Answer:
x= -0.5
y= 23
Step-by-step explanation:
3=y-20 so y= 23
xy=3xy+25
23x=69x+25
-46x= 25
x=-0.5