If the drama club collected 25,915 points and gave away 71 shirts, how many shirts would be given away when 33,580 points are co
1 answer:
You might be interested in
The values of x are
1. x = 32°,
2. x = 15°,
3. x = 49°,
4. x = 65°,
Explanation:
- The angle made by any right angle is 90° and the angle made by a straight line is 180°. These are the main equations required to solve the values of x. The first 2 are right angles and the last 2 are straight lines. So the sum of the components within that right angle is 90° and for a straight line is 180°.
- For diagram 1; 2x° + x° - 6° = 90°, 3x° = 90° + 6° = 96°, x =
= 32°.
- For diagram 2; 4x° + 3° + x° + 12° = 90°, 5x° = 90° - 15° = 75°, x =
= 15°.
- For diagram 3; x° + 33° + 2x° = 180°, 3x° = 180° - 33 = 147°, x =
= 49°.
- For diagram 4; 2x° + 1° + x° - 16° = 180°, 3x° = 180° + 15° = 195°, x =
= 65°.
Money received in tenth month: $104
Difference between explicit formula and a recursive formula is: the use of (n-1)th term, nth term and the common difference (d) brings a great difference between the two formulae of an arithmetic progression.
<h3>What is arithmetic progression?</h3>A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
- Money received in first four months: $50, $52, $55, %59.
To find: Money received in tenth month.
Finding:
As we can see, the pattern followed here is: increment in each amount received each month by $1. Thus it is an arithmetic progression.
That is: 50, 52 (0+2), 55 (2+3), 59 (2 + 3 + 4) and so on.
Thus, for the tenth month, we can use the formula of recursion, given by: , n ≥ 1.
For a₁ = 50, a₂ = a₁ + 2
=> a₂ = 50 + 2
This way, a₅ = a₄ + 5
=> a₅ = 59 + 5 = 64
a₆ = a₅ + 6
=> a₆ = 64 + 6 = 70
a₇ = a₆ + 7
=> a₇ = 70 + 7 = 77
a₈ = a₇ + 8
=> a₈ = 77 + 8 = 85
a₉ = a₈ + 9
=> a₉ = 85 + 9 = 94
a₁₀ = a₉ + 10
=> a₁₀ = 94 + 10 = 104
Thus, the payment received in tenth month will be $104.
(b) Difference between explicit formula and recursive formula of an arithmetic progression:
- The first term of a recursive formula is a₁ and the formula for the nth term uses the first term and the common difference, d. One example of a recursive formula is
.
- A formula for the nth term in an explicit formula would include the initial term a₁, the common difference d, and the term number, n. The equation
.
To learn more about arithmetic Progressions, refer to the link: brainly.com/question/6561461
#SPJ4