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Step-by-step answer:
Referring to the attached diagram, the resultant of two forces each with magnitude F and inclined to each other at 2a equals
Ra = 2Fcos(a) ..............................(1)
Similarly, the resultant of two forces each with magnitude F and inclined to each other at 2b equals
Rb = 2Fcos(b)..............................(2)
We are given that
Ra = 2Rb ....................................(3)
Substitute (1) & (2) in (3) gives
2Fcos(a) = 2(2Fcos(b))
Expand
2Fcos(a) = 4Fcos(b)
Simplify
cos(a) = 2 cos(b) QED
Note: Please note that you might have a faster response if you posted this question in the physics or the (new) Engineering section.
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Answer:
$89.93
Step-by-step explanation:
Set up an equation:
Variable x = original price
40/100 = 35.97/x
Cross multiply
40 × x = 100 × 35.97
40x = 3597
Divide both sides by 40
x = 89.925
Round to the nearest cent:
5 rounds up so:
89.93
Check your work (use the original number instead of the rounded number to be more exact):
89.925 × 40%
Convert the percentage into a decimal to multiply:
89.925 × 0.40
35.97
Correct!
Answer: 7/145
Step-by-step explanation:
The probability that the first student walks to school will be: = 7/30.
The probability of selecting the second student that walks to school will be: = 6/29.
Then we multiply both together and this will be:
= 7/30 × 6/29
= 7/145
I think that the answer would be 1910 because it is less than 1911.