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1 answer:
Answer:
<h2>D. 65</h2>Step-by-step explanation:
The question lacks the appropriate diagram. Find the diagram attached.
The triangle is a right angled triangle that is made of of three sides namely the opposite, the adjacent and the hypotenuse (the longest side). According to the diagram, the longest side is the side with length x. To get the side length x, we will use the Pythagoras theorem as shown;
hyp² = opp²+adj²
hyp² = 33²+56²
x² = 1089+3136
x² = 4225
take the square root of both sides
√x² = √4225
x = 65
<em>Hence the unknown side length x is 65</em>
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We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .
We know that a term in an AP is generally represented as:
where,
- a = the first term in the sequence
- n = the number of the term/number of terms
- d = difference between two terms
We need to find .
From the given progression, we have:
- a = -24
- n = 23
- d = (-24 - (-4) = -20
Using these in the formula,
Therefore, the 23rd term in the AP is -464.
Hope it helps. :)