Answer:
61,940
Step-by-step explanation:
For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.
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The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.
That calculation looks like ...
g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4
The attachment shows the last term (for k=8) is 61,940.
The calendar obviously has an integral number of years and months in 400 years. If it has an integral number of weeks, then it will repeat itself after that time. The rules of the calendar eliminate a leap year in 3 out of the four century years, so there are 97 leap years in 400 years. The number of excess days of the week in 400 years can be found by ...
(303·365) mod 7 + (97·366) mod 7 = (2·1 + 6·2) mod 7 = 14 mod 7 = 0
Thus, there are also an integral number of weeks in 400 years.
The first day of the week is the same at the start of every 400-year interval, so the calendar repeats every 400 years.
I think it would be 13 hours possibly
To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
Therefore, the measure of the triangle's angle is
60°Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of
90°.
Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
The missing angle measure, angle
x, equals 18°.
Hope this helps!
Answer:
height for the building = 551.8 ft
Step-by-step explanation:
The info given describes the shape of a right triangle.
Thus:
Reference angle = Angle of elevation = 23°
Opposite side = height of the building = ?
Adjacent side = 1,300 ft
Apply trigonometric function, TOA:
Tan 23 = Opp/Adj
Tan 23 = Opp/1,300
1,300 × Tan 23 = Opp
551.817261 = Opp
Opp ≈ 551.8 ft
height for the building = 551.8 ft
