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2 years ago

Find the 44th term in the following arithmetic sequence 2,3,4,5,....

Mathematics

1 answer:

rodikova [14]2 years ago

5 0

Answer:

the answer is 45

Step-by-step explanation:

the answer is 384

Step-by-step explanation:

a1 = 2, a2 = 3, a3 = 4,

an = ?

n = 44

d = a2 - a1 = 3 - 2 = 1

d = a3 - a2 = 4 - 3 = 1

Here, the common difference is the same everywhere

So,

$a_{n} = a + (n - 1) \times d$

$a_{44} = 2 + (44 - 1) \times 1$

$a_{44} = 2 + 43$

$a_{44} = 45$

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Triangle ABC and DEF are right triangles, as shown. Triangle ABC is similar to triangle DEF. which ratios are equal to sin C?

Dafna11 [192]

Answer:

First option and Fourth option.

Step-by-step explanation:

To solve this exercise you need to use the following Trigonometric Identity:

$sin\alpha=\frac{opposite}{hypotenuse}$

In this case you know that:

$\alpha =C$

Since triangle ABC is similar to triangle DEF:

$\angle C=\angle F$

Let's begin with the triangle ABC.

You can identify that:

$opposite=AB\\hypotenuse=AC$

Then, substituing values, you get:

$sinC=\frac{AB}{AC}$

In triangle DEF, you know that:

$opposite=DE\\hypotenuse=DF$

So, substituing values, you get:

$sinF=sinC=\frac{DE}{DF}$

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3 years ago

Question 27(Multiple Choice Worth 1 points)

Bezzdna [24]

Answer:

none

Step-by-step explanation:

any value on y cancel 4y and then we will have -12=12 which is not true.

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3 years ago

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stiks02 [169]

Answer: x = 9

Remember: cross-multiply (product of the means equals the product of the extremes) to solve this proportion. It forms a 'cross'-- hence its name.

4 8 4 and 2 are the extremes
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x - 8 2

(4)(2) = 8(x - 8) Simplify
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8 = 8x - 64 Add 64 to both sides
72 = 8x Divide by 8 for both sides
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7 0

3 years ago

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There is a bell at the top of a tower that is 45m high the bell has ___ energy

adelina 88 [10]

Potential energy, though this seems like a question for the science section unless I'm missing something.

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3 years ago

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The aquarium is shaped like a rectangular prism with length 20 in, width 18 in, and height 10 in.

Sonbull [250]

Answer: 10 minutes

Step-by-step explanation:

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3 years ago