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Olenka [21]
3 years ago
9

What is the area of the polygon​

Mathematics
2 answers:
timurjin [86]3 years ago
7 0
<h2>Answer:</h2>

<u>The area of figure is </u><u>84 square units</u>

<h2>Step-by-step explanation:</h2>

See the attached figure for solution.

Kaylis [27]3 years ago
3 0

For this case, the total area of the polygon is given by;

A_ {t} = A_ {1} + A_ {2}\\A_ {1} = 12 * 6\\A_ {1} = 72 \ square \ units

On the other hand we have to:

A_ {2} = (10-6) * (12-9)\\A _{2} = 4 * 3\\A_ {2} = 12 \ square \ units

So, finally we have:

A_ {t} = A_ {1} + A_ {2}\\A_ {t} = 72 \ square \ units \ + \ 12 \ square \ units\\A_ {t} = 84 \ square \ units

Answer:

Option B

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Step-by-step explanation:

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(3^4)^(3/4)  * x^3/4

We know that a^b^c = a^ (b*c)

3^(4*3/4)  * x^3/4

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27   4th root (x^3)

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3 years ago
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The denominator( s ) we are given are x^2 + 4x + 4, and . The first thing we want to do is factor the expressions, to make this easier -

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( x + 2 )^2

The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -

x^2 + 5x + 6,\\\left(x^2+2x\right)+\left(3x+6\right),\\x\left(x+2\right)+3\left(x+2\right),\\\left(x+2\right)\left(x+3\right)\\\\Factored Expression = \left(x+2\right)\left(x+3\right)

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<u><em>Solution = </em></u>\left(x+2\right)^2\left(x+3\right)<u><em /></u>

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3 years ago
While completing a race, Will spent 14 minutes walking. If his ratio of time walking to jogging was 7 : 6, how many minutes did
worty [1.4K]

Answer:

12 minutes

Step-by-step explanation:

\frac{7}{6} =\frac{14}{x}

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3 years ago
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noname [10]

Answer:

f(x) = 9(5/3)^x

Step-by-step explanation:

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x = 0

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9 = a

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3 years ago
Jane, Scott, and Frank have a total of $144 in their wallets. Frank has 4 times what Jane has. Scott has $6 less than Jane. How
konstantin123 [22]

Answer:

Jane have $25

Frank have $100

Scott have $19

Step-by-step explanation:

To find the amount that each have, we have to represent this information in a mathematical format  and then solve

let x represent represent the amount that Jane has

let Y represent represent the amount that Frank has

let z represent represent the amount that Scott has

From the question given, "Jane, Scott, and Frank have a total of $144"  can be represented mathematically as

x + y + z = $144 ---------------------------------------------------------------------------------(1)

"Frank has 4 times what Jane has"   can be represented mathematically as

y = 4x ---------------------------------------------------------------------------------------------(2)

"Scott has $6 less than Jane"  can be represented mathematically as

z= x- 6 ----------------------------------------------------------------------------------------------(3)

we can now solve the equations using the substitution method

substitute equation (2)  and (3)  into equation (1)

x + y + z = $144

x + 4x + x-6 = $144

6x -6 = $144

add 6 to both-side of the equation

6x - 6 + 6 = $144 + 6

6x =$150

Divide both-side of the equation by 6

6x/6 = 150/6

x = $25

from equation 2

y = 4x

substitute x= $25 in equation (2)

y = 4 (25)

y = $100

substitute x=$25 in equation  (3)

z = x- 6

z = 25 - 6

z=$19

Jane have $25

Frank have $100

Scott have $19

6 0
3 years ago
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