Answer:
2820.36 feet
Step-by-step explanation:
First we need to find the length of the outer corridor, and we do that by finding the length of the circunference with a radius of 25 feet:
C = 2 * pi * r = 2 * pi * 25 = 157.08 feet
Now, as Heather walks the outer corridor 17 times and the length of 6 spoke aisles (the radius of the circunference), we have that the total distance she walks is:
Distance = 17 * 157.08 + 6 * 25 = 2820.36 feet
Answer:
10.95 or
Step-by-step explanation:
The Pythagorean Theorem is as follows:
A and B represent the legs of the triangle, and C represents the hypotenuse.
For this problem, it gives us the legs. So, we have to find the hypotenuse.
Plug the values of the legs into the equation:
Now solve the equation to find the hypotenuse:
Distribute the squares
Add
Square root both sides
c = 10.95 or
Therefore the length of the missing leg is 10.95 or .
Hope this helps!! Ask questions if you need!
Answer:78 guests
Step-by-step explanation:
understanding the problem
the furniture is set up for the reunion and we need to determine how many guests are expected
devising a plan
the furniture for guests = chairs
steps
determine the number of tables as there are 6 chairs to each table
what is the unknown?
number of tables and number of chairs
what are the data?
364 furniture legs
tables sit 6 chairs each
tables have 4 legs
each chair has 4 legs
which letter should determine the unknown?
a= tables
b= chairs
what is the condition linking the letters
a*6=b
(a+b)*4=364
is the condition sufficient to determining the unknown?
364/4= a+b
91= a + b
a * 6 = b
b/6 = a
91- b = a
91 = (91-b) + a
(91-b) * 6 = b
b/6=91-b
b= 6*91 - 6b
b = 546 - 6b
b + 6b = 546
7b = 546
b = 546 / 7
answer
b = 78 guests = chairs
test
a*6 = 78
a= 78/6 = 13 tables
(a + 78) * 4 = 364
(13+78)*4 = 364
91*4= 364 correct
364/4= a+ 78
91 = a + 78
91 - 78 = a = 13 tables