Please helppp can someone please help me I am so confused on how to answer these

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

3 0

Answer:

A; D; A; C; C

Step-by-step explanation:

1. S29 means the sum of the first 29 terms. Because it's an arithmetic sequence, the sum of the first x terms is (the first term + xth term)(x)/2

That means the answer to the first question is (7+70)(29)/2 = 1116.5 (A)

2. The sum of the first 18 terms is (56 + 5)(18)/2 = 549 (D)

3. The common difference is 3.5, making the 26th term 87.5. That makes the sum of the first 26 terms (7+94.5)(26)/2 = 1319.5 (A)

4. The question is asking for the sum of the first 28 terms. The first term is 50-4(1) = 46. The 28th term is 50-4(28) = -62. That makes the sum of the first 28 terms (46+(-62))(28)/2 = -224 (C)

5. The first x terms of a geometric sequence is the (first term - (x+1)th term)/(1-(ratio)).

That makes the sum ((1/3)-(729))/(1-3) = -(2186/3)/-2 = 1093/3 = 364 1/3 (C)

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9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The

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The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

Learn more about Pythagoras' theorem here:

brainly.com/question/21511305

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