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2 years ago

Find the fifth term in the sequence An=2^n

Mathematics

1 answer:

klio [65]2 years ago

7 0

AN=2^n

for fifth term replace n with 5

a(5) = 2^5 = 32

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Finding the area of a regular polygon

ddd [48]

<h2>Solution:</h2>

360° ÷ 10 ÷ 2 = 18°

So the length of the decagon side is:

10 × tan18° × 2 = 20 × tan18°

The area is: ½ × 20 × tan18° × 10 × 10 = 1000 × tan18°

≈ 324.9

.: 324.9 is the final answer.

I hope this helps. 

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1 year ago

The following set of coordinates represents which figure? (0, 4), (0, 7), (1, 5), (1, 2)

Romashka [77]

Answer:

The figure represent a parallelogram

Step-by-step explanation:

we have

$(0, 4), (0, 7), (1, 5), (1, 2)$

using a graphing tool

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see the attached figure

The figure has opposite sides parallel and equal in length

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3 years ago

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A landscaper will install a sprinkler system for a client and has shown on a coordinate grid the location of the main water line

Fed [463]

Answer:

3rd option

Step-by-step explanation:

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3 years ago

Find the value of x. 60o 79o 70o 47o

LekaFEV [45]

180-2(55)-x=0
180-110-x=0
70-x=0
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3 0

3 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

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3 years ago

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