Answer:
R=10,244 Lb
Step-by-step explanation:
In order to solve this problem, we can start by drawing the situation. (See attached picture).
We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°
In this case we can find the resultant force by using the law of cosines:
so we can use the data given by the problem:
so we can solve this for R, so we get:
now we can substitute:
which yields:
R=10,244Lb
Answer:
0.75 days (im a bit unsure but i tried my best, hope this helps :) )
Step-by-step explanation:
If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.
8: 560
x: 525
x= 7.5 (which is considered 7)
Then, find how long it takes to sample 525 samples, when 560 are done in 36 hours;
560: 36
525: x
x= 33.75 (which is considered 34 hours)
The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator
8; 34
15; x
it will become
15:34
8: x
x= 18 hours
Divide by 24 for days hence 0.75 days
Let (15+x) and (22+x) be the future ages of the brothers
15+x+22+x= 408
Collect like terms
37+2x=408
Move 37 to the other side as a negative number
2x=371
Divide both sides by 2
371/2 is 185.5
So, after 185.5 years, their ages will add up to be 408
You need only set up a proportion.
11 cm/16.5 cm = 4 cm / x Cross multiply
11x = 16.5 * 4
11x = 66 ' Divide by 11
x = 66/11
x = 6
The expanded height is 6 cm Answer
