Answer:
6.333
Step-by-step explanation:
Our triangle vertices are
(1,1)(5,1)(2,9)
We are to perform interpolation at point(3,5)
x and y values are interpolated
On vertices (5,1)(2,9)
x = 3
x1 = 5
X2 = 2
Y1 = 1
Y2 = 9
Formula for interpolation
Y = [y1+(x-x1)(y2-y1)]/x2-x
Y = 1+(3-5)(9-1)/2-5
Y = 1+[-2*8/-3]
Y = 1+16/3
From here we use use LCM to get:
19/3 = 6.333
Answer:
20hours
Step-by-step explanation:
Jack can complete the painting in 30hours. The fraction he can paint per hour is thus 1/30
Trainee can complete the painting in 45hours, the fraction he can paint per hour is 1/45
If they are working together, the fraction that can paint in an hour is :
1/45 + 1/30 = 5/90 = 1/18
Now we know they can paint 1/18 of the room in an hour, the number of hours needed to completely paint the room is thus 1/1/18 = 18 hours
Rounding up answer to the nearest tenth is 20hours
Answer:
The lcm (least common multiple) of 4 and 12 is 12.
Step-by-step explanation:
Find the prime factorization of 4
4 = 2 × 2
Find the prime factorization of 12
12 = 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3
LCM = 12