2 years ago

3

Mathematics

1 answer:

Brrunno [24]2 years ago

3 0

The answer is 7
Dkdoenoemwowmw

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a construction worker has a ladder against the side of a building. the building is 10 feet tall, and the ladder is 15 feet long.

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Step-by-step explanation:

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2 years ago

Oaklands zoo has two elephants. The male elephant weighs 3/4 a ton and the female elephant weighs 1/4 of a ton. How much does th

SOVA2 [1]

so if you take away 1/4 from 3/4 you will get 2/4

3/4 - 1/4 = 2/4 or 1/2

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3 years ago

Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of

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Answer:

0.81 hour

Step-by-step explanation:

Given data

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2 years ago

It took the race car 22 minutes to travel 114.4 kilometers. At what rate did the car travel? Use the formula r=d/t where r is th

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0

3 years ago