Hello!
The sum of all angle measures in a heptagon in 900°. We will subtract all of these angles from 900 to find our answer.
900-146-122-142-140-110-142=98
x=98°
I hope this helps!
Answer:
Step-by-step explanation:
Gym A has a $150 joining fee and costs $35 per month.
Assuming that Casey wants to attend for x months, the cost of using gym A will be
150 + 35 times x months. It becomes
150 + 35x
Gym B has no joining fee and costs $60 per month.
Again, assuming that Casey wants to attend for x months, the cost of using gym B will be
60 × x months = 60x
A) To determine the number of months that it will both gym memberships to be the same, we will equate them.
150 + 35x = 60x
60x - 35x = 150
25x = 150
x = 150/25 = 6
It will take 6 months for both gym memberships to be the same.
B) If Casey plans to only go to the gym for 5 months,
Plan A will cost 150 + 35×5 = $325
Plan B will cost 60 × 5 = $300
Plan B will be cheaper
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:
![l = 2w + 4](https://tex.z-dn.net/?f=l%20%3D%202w%20%2B%204)
The perimeter is 96 feet:
![p = 96](https://tex.z-dn.net/?f=p%20%3D%2096)
We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:
![p = 2l + 2w](https://tex.z-dn.net/?f=p%20%3D%202l%20%2B%202w)
We can solve for w by plugging the other two values into the last:
![p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}](https://tex.z-dn.net/?f=p%20%3D%202w%20%2B%202l%5C%5C96%20%3D%202w%20%2B%202%282w%20%2B%204%29%5C%5C96%20%3D%202w%20%2B%204w%20%2B%208%5C%5C88%20%3D%206w%5C%5C3w%20%3D%2044%5C%5Cw%20%3D%20%5Cfrac%7B44%7D%7B3%7D%5C%5Cw%20%3D%2014%5Cfrac%7B2%7D%7B3%7D)
Now we can find the length by plugging w into the first equation:
![l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}](https://tex.z-dn.net/?f=l%20%3D%202w%20%2B%204%5C%5Cl%20%3D%202%2814%5Cfrac%7B2%7D%7B3%7D%29%20%2B%204%5C%5Cl%20%3D%2029%5Cfrac%7B1%7D%7B3%7D%20%2B%204%5C%5Cl%20%3D%2033%5Cfrac%7B1%7D%7B3%7D)
One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:
![p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96](https://tex.z-dn.net/?f=p%20%3D%202l%20%2B%202w%5C%5Cp%20%3D%202%2833%5Cfrac%7B1%7D%7B3%7D%29%20%2B%202%2814%5Cfrac%7B2%7D%7B3%7D%29%5C%5Cp%20%3D%2066%5Cfrac%7B2%7D%7B3%7D%20%2B%2029%5Cfrac%7B1%7D%7B3%7D%5C%5Cp%20%3D%2096)
So we know our answer's correct
Answer:
1
Step-by-step explanation:
A rational number between 3.623623 and 0.484848 is 1.