Answer:
9 13/20
Step-by-step explanation:
<h3>The dimensions of the gym floor could be 150 feet by 120 feet</h3><h3>The dimensions of the gym floor could be 225 feet by 180 feet</h3>
<em><u>Solution:</u></em>
Given that,
The dimensions of the swimming pool and the gym are proportional
The pool is 75 feet long by 60 feet wide
To find: set of possible dimensions for the gym
To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60
<em><u>One set of dimensions are:</u></em>
75 x 2 = 150
60 x 2 = 120
The dimensions of the gym floor could be 150 feet by 120 feet
<em><u>Other set of dimensions:</u></em>
75 x 3 = 225
60 x 3 = 180
The dimensions of the gym floor could be 225 feet by 180 feet
You would want to add all of the angles together to find the sum. Set this equal to 360.
2x-9 + 2x-9 + x + x + x = 360
Combine like terms,
7x-18 = 360
Add 18 to both sides,
7x = 378
Divvied both sides by 7,
x = 54
(10 elements..........) 2^(10)<span>=<span>1024
</span></span><span>A discrete set with n elements has 2^n subsets. 2^n=1024 implies there are n=10 elements in this set. Any subset with 0 through n-1 elements is a proper subset of the set, as in each of those cases there exists at least one element of the set that is not in the subset, which is the requirement to be a proper subset. Therefore, we have 1023 proper subsets.</span>
Answer:
13 this needed to be 20 characters long just ignore
Step-by-step explanation:
Just took the test
