Answer:
c=45
Step-by-step explanation:
by the pythagorean theorem, c = sqrt(3^2+6^2) = sqrt(9+36) = sqrt(45)
Therefore, c=45.
Answer:
Add 7 black beads
Step-by-step explanation:
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (<em>b</em> meaning black) b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
<u>We need 9 black beads in total</u>.
Check answer
9 : 3 Both sides divisible by 3; reduce ratio
= 3 : 1 Correct ratio
There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore we need to add 7 black beads.
I would convert them all to the denominator 16, due to the smallest fraction and all of them can be converted to it.
1 = 16/16
1/2 = 8/16
1/4 = 4/16
1/8 = 2/16
1/16 = 1/16
1+ 2 + 4 + 8 + 16 = 31
31/16 = 1 15/16
Hope this helps!
Answer:
Follows are the solution to this question:
Step-by-step explanation:
In this question, some of the data is missing, that's why this question can be defined as follows:
It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.
When there is Just one perfect solution(optimal solution) then the equation is:
When there are Several perfect solutions then the equation is:
When there is also no solution, since it is unlikely then the equation is:
When there is no best solution since it is unbounded then the equation is: