Mathematics High School

MATHEMATICAL CONNECTIONS Find the dimensions of the polygon with the given area.
Area = 44 ft2

MATHEMATICAL CONNECTIONS Find The Dimensions Of The Polygon With The Given Area.Area = 44 Ft2

Answers

Answer 1

Answer:

Length = 11

Width = 4

Step-by-step explanation:

Answer 2

The value of dimension are;

Length of polygon is 11 ft.

Width of polygon is 4 ft.

Here,

Area of polygon = 44 ft^2

Length of polygon = ( x - 5 ) ft

Width of polygon = ( x - 12 ) ft

We have to find the dimension of polygon.

What is the polygon?

A two-dimensional geometric figure that has a finite number of sides, is called polygon.

Now,

Area of polygon = 44 ft^2

Length of polygon = ( x - 5 ) ft

Width of polygon = ( x - 12 ) ft

Since, Area of polygon = length x width

Hence,

[tex]44 = ( x - 5 ) ( x - 12 )\\\\44 = x^{2} -5x-12x+60\\\\x^{2} - 17x + 16 = 0[/tex]

After factorizing we get;

[tex]x^{2} - 16x - 1x + 16 = 0\\\\x ( x-16) -1 ( x - 16)= 0\\\\(x-1)(x-16)=0[/tex]

[tex]x = 1, x = 16[/tex]

Since, x = 1 is not possible because its gives the values of dimension in negative.

So, x = 16

Now,

Length of polygon = ( x - 5 ) ft = 16 - 5 = 11 ft

Width of polygon = ( x - 12 ) ft = 16 - 12 = 4 ft

Therefore, Length of polygon is 11 ft.

                Width of polygon is 4 ft.

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Related Questions

The sum of ages of Paula and her mother is 48. Her mother is 12 years more than twice as old as Paula. Use a linear system to determine the ages of Paula and her mother.

Answers

Answer:

72

Step-by-step explanation:

12 times 6 is 72

48 + 24 =72

A teacher buys 6.25 ounces of a compound for an experiment. The compound costs $4.12 per ounce. The teacher pays with a $50 bill. How much change does the teacher receive?

Answers

Answer:

$24.25

Step-by-step explanation:

Given data

We are told that  1 ounce cost $4.12

Hence 6.25 ounces will cost x

cross multiply

x= 6.25*4.12

x=$25.75

This means that the cost of the 6.25 ounces is $25.75

If the teacher pays with a $50 bill, then her change is

=50-25.75

=$24.25

In AMNO, n = 78 cm, o = 14 cm and ZM=12°. Find the length of m, to the nearest
centimeter.

Answers

Answer:

64

Step-by-step explanation: Delta math

Please Help!
(look at the photo)
—
The two figures are similar. Write the similarity statement. Justify your answer.

Answers

Answer:

Both triangles have acute angles

what does t = ??
please help

Answers

Answer:

T=116

Step-by-step explanation:

That is a 90 degree angle and a 26 degree angle, so 26+90=116. 360 is the total degrees in all, so 360-116=224. t degrees is 116.

Step-by-step explanation:

t = 90° + 26° { Being vertically opposite angles }

t = 116 °

Hope it will help :)❤

A bag contained 5 red, 8 blue, and 7 white marbles. Jose drew two marbles from the bag one at a time, without replacement. What is the probability that jose chose two blue marbles

Answers

Answer:

the probability that jose chose two blue marbles would be 8/20

Step-by-step explanation:


Evaluate the expression 120n + 160,500 when n= 32.
n=______

Answers

120(32) + 160,500
= 3840 + 160,500
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is 4x+5 eqvalent to 4(x+5)

Answers

Answer:

No

Step-by-step explanation:

4x+5 is not equivalent to 4(x+5) because when you solve for 4(x+5) using distributive property it equals 4x+20 which is not the same as 4x+5.

Answer:

Step-by-step explanation:

No, 4x+5 does not equal 4(x+5), because the operations are different for each expression.

4x+5 is an addition expression and 4(x+5) operation is multiplication.

You must using the distributive property to find the product: 4(x+5) = 4(x) + 4(5) = 4x +20

Therefore, 4x+5 is not equivalent to 4(x+5).

4x+5 is not equivalent to 4x+20.

help..!!!!!__________________________

Answers

Answer:

Where exactly is <T?

Step-by-step explanation:

Either way I will say it's 66 degrees or cannot be determined. Either of those

Answer:

The answer to this question is 136

Hiya please leave formulas x

Answers

Answer:

angle c = 107°

angle b = 107°

angle a = 73°

Step-by-step explanation:

Given:

Two line XY and WZ intersect each other and make four angle [a, b, c, d]

Given that Angle d = 73°

Find:

angle a

angle b

angle c

Computation:

We know that angle c and angle d situated on same line XY

So,

angle c + angle d = 180°

angle c + 73° = 180°

angle c = 107°

We know that angle b and angle d situated on same line WZ

So,

angle b + angle d = 180°

angle b + 73° = 180°

angle b = 107°

angle a and angle d are vertical opposite angle

So,

angle a = angle d

angle a = 73°

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Answers

Answer:

set is a collection of distinct elements. vector is an element of a vector space.

Step-by-step explanation:

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Answer:

1/10squarerootY

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Answer:

Step-by-step explanation:

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Answer:

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fcgvhbjnkl;.'aszdfgthjkl;asdtgyjko;p

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not sure on the options but any fraction that when you divide is greater than .6 ( divided 3/5) would work!

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Answers

Answer:

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Step-by-step explanation:

Area of circle = π ×r^2

π×15^2

and then divide by 4 because it's one quarter of a circle

You inherit $5,000 from your Uncle Harold. The bad news is that the money must sit in a bank account for the next 10 years until you can use it. The account earns 7.2% interest, compounded annually. This means that you will need to multiply the amount of money by 1.072 to determine how much money remains at the end of the next year.
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Answers

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Answers

Answer:

by putting a power 2 of and that will do it I think

Step-by-step explanation:

sorry if i'm wrong

Representation of the large square as a power of 10 as,

⇒ 10²

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

To find representation of the large square as a power of 10.

Let one box of large square represent by 1.

Then, The Representation of the large square as a power of 10 is,

⇒ 1 × 100

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Since, There are 100 boxes in large square.

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Estimate:
89)364
A
4
B
270
10
D
450

Answers

Answer:

expresión

Step-by-step explanation:

Answer:

Step-by-step explanation:

Either the question is displayed incorrectly, or some crucial information has been omitted.

Si X es una variable aleatoria de tipo continuo… ¿Es posible definir el índice de asimetría de Fisher? ¿Por qué?

Answers

Answer:

Primero, para un caso discreto, el índice de asimetría de Fisher se calcula como:

[tex]\frac{\sum(xi - M)*n_i}{N*S_x}[/tex]

Donde:

xi son los i-esimos distintos valores de nuestro conjunto de datos.

M es la media

N es el numero de datos

ni es la frequencia absoluta de cada xi

Sx es la desviacion tipica

Podemos ver que en el caso discreto, escribimos el coeficiente con una sumatoria, lo cual realmente no podemos hacer para una variable continua.

Lo que si podemos hacer para una variable continua, es una integral, donde como esta vez tenemos una variable continua, podemos definir una función:

f(X) = frequencia absoluta para X.

Y escribir el coeficiente como:

[tex]\frac{\int\limits^a_b {(X - M)*f(x)} \, dx }{N*S_x}[/tex]

Entonces si, es posible definir el índice.

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Step-by-step explanation:

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step by step explanation:

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Answers

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Step-by-step explanation:

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