Answer:
The length = 56 feet and the width = 17 feet.
Step-by-step explanation:
We can set up 2 equations to solve this. Let the length of the rug be x, then
x = 3w + 5 where w = the width. ( looks like you got the width and the length mixed up. The length is the longest side)
The perimeter = 2x + 2w = 146 so we have the 2 equations:
x = 3w + 5
2x + 2w = 146
Now we substitute for x in the second equation:
2(3w + 5) + 2w = 146
6w + 10 + 2w = 146
8w = 136
w = 17 feet,
and x = 3(17) + 5 = 56 feet.
54 is the hypotenuse because it is the longest side. Square all of the sides. So 54^2=2916
51^2=2601
22^2=484
Now you have 2916=2601+484
Add the two and they will be greater than 2916. Because of that, you will have an acute triangle because 22^2+51^2>54^2
In short, its B
Answer:
a rotation about point H
Step-by-step explanation:
i just took the test
Answer: 40000
Step-by-step explanation:
The formula to find the sample size is given by :-
, where p is the prior estimate of the population proportion.
Here we can see that the sample size is inversely proportion withe square of margin of error.
i.e. 
By the equation inverse variation, we have
Given : 
Then, we have
Hence, the sample size will now have to be 4000.
