Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Answer:
8/3 is the fraction and 8 1/3 is the mix number
Step-by-step explanation:
This is a difference of squares problem. You just have to make sure every term is a perfect square and that there is subtraction in the problem.
(2y +1)(4y + 1) is the factored form
Answer:
10.8 minutes
Step-by-step explanation:
Given data
We are told that the number of Jugs is 18
Filling the first 3 jugs has taken 5 minutes
let us find the filling rate
Rate= 3/5
Rate= 0.6 Jugs per minute
Hence the rate of filling is 0.6 Jugs per minute
Therefore the time take to fill the remaining 16 jugs is
TIme= Rate*Number of Jugs
TIme= 0.6*18
Time= 10.8 minutes
