Answer:
TU = 46
Step-by-step explanation:
Here, we are concerned with finding TU
Mathematically;
Since U is between T and B, by convention;
TB = TU + UB
Substituting the values so we can find x;
55 = 6x + 16 + 2x -1
55 = 6x + 2x + 16-1
55 = 8x + 15
8x = 55-15
8x = 40
x = 40/8
x = 5
But TU = 6x + 16; substitute the value of 5 for x
TU = 6(5) + 16
TU = 30 + 16
TU = 46
If you're comparing 1.435 * 10^(-3) mm to 1.435 * 10^3 mm, then the more reasonable measurement is 1.435 * 10^3 mm since,
1.435 * 10^3 mm = 1435 mm = 1.435 meters
1 meter is about 3.28 feet approximately
So 1.435 meters is slightly larger (about 4.708 feet) which is a fairly reasonable distance between the tracks on a railroad.
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Something like 1.435 * 10^(-3) mm is equal to 0.001435 mm, which is far less than 1 mm.
Cos^4(x) =
(cos²x)² =
(1-sen²x)² =
1² - 2*1*sen²x + sen^4x =
1 - 2sen²x + sen^4x
Answer:
40
Step-by-step explanation:
Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.
As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.
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The equation reduces, mod 23, to ...
10x = 11
Its solutions are x = 23n +8.