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Andreyy89
4 years ago
6

Tina wants to install a square hot tub in her backyard.The backyard is 10 feet by 5o feet,and the hot tub will be 8 feet by 8 fe

et .what is the area of the backyard that will not be covered the hot tub
Mathematics
1 answer:
gizmo_the_mogwai [7]4 years ago
5 0

Answer:

436 feet will not be covered by the hot tub.

Step-by-step explanation:

If the backyard is 10 feet by 50 feet (I am assuming that you meant 50, not 5o), then you would use the area formula.

A = L * W             Area equals length times width

A = 10 * 50

A = 500 ft

Now let's find the area of the hot tub

A = L * W

A = 8 * 8

A = 64 ft

This means 64 feet of the backyard will be covered by the hot tub, but you must find the area <u>NOT</u> covered. To do this, subtract the two areas.

500 -- 64 = 436 ft

This means 436 feet of Tina's backyard will not be covered by the hottub.

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14) Simplify: -(16 - 5x) A) 5x - 16 B) 5x + 16 C) -5x - 16 D) - 5x + 16
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Answer: 5x-16

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3 years ago
What is the exact area and circumference?
Rudik [331]

Answer:

Step-by-step explanation:

The area of a circle is calculated using the formula: πr^2

The circumference of a circle is calculated using: 2πr

We are given 8 questions, So by addressing them individually

1) Area of Circle 1:

Radius = r = 12 mi

Total angle in a circle = 360°

Given angle = 90

Ratio of given circle to complete circle = 90/360

=> 1/4

Therefore, the circle 1 is 1/4 of the complete circle with r = 12.

In this way, its area will be 1/4 of the complete circle.

Hence

Area = 1/4 (πr^2)

=> 1/4 (π*12^2 )

=> 1/4 (144π)

=> 36π   Hence option C

2) Area of Circle 2:

Radius = r = 19 in

Total angle in a circle = 360°

Given angle = 315

Ratio of given circle to complete circle = 315/360

=> 7/8

Therefore, the circle 2 is 7/8 of the complete circle with r = 19.

In this way, its area will be 7/8 of the complete circle.

Hence

Area = 7/8 (πr^2)

=> 7/8 (π*19^2 )

=> 7/8 (361π)

=> 315.8π   Hence answer is not provided that is option f

3) Area of Circle 3:

Radius = r = 15 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 270/360

=> 3/4

Therefore, the circle 3 is 3/4 of the complete circle with r = 15.

In this way, its area will be 3/4 of the complete circle.

Hence

Area = 3/4 (πr^2)

=> 3/4 (π*15^2 )

=> 3/4 (225π)

=> 168.75π   Hence answer is not provided that is option f

4) Area of Circle 4:

Radius = r = 6 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 90/360

=> 3/4

Therefore, the circle 4 is 3/4 of the complete circle with r = 6.

In this way, its area will be 3/4 of the complete circle.

Hence

Area = 3/4 (πr^2)

=> 3/4 (π*6^2 )

=> 3/4 (36π)

=> 27π   Hence answer is not provided that is option f

5) Circumference of Circle 1:

Radius = r = 12 mi

Total angle in a circle = 360°

Given angle = 90

Ratio of given circle to complete circle = 90/360

=> 1/4

Therefore, the circle 1 is 1/4 of the complete circle with r = 12.

In this way, its circumference will be 1/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 1/4 (2πr) + 2r

=> 1/4 (2π12) + 2*12

=> 1/4 (24π) + 24

=> 6π + 24 Hence answer is not provided that is option f

6) Circumference of Circle 2:

Radius = r = 19 in

Total angle in a circle = 360°

Given angle = 315

Ratio of given circle to complete circle = 315/360

=> 7/8

Therefore, the circle 2 is 7/8 of the complete circle with r = 19.

In this way, its circumference will be 7/8 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 7/8 (2πr) + 2r

=> 7/8 (2π19) + 2*19

=> 7/8 (38π) + 38

=> 33.25π + 38 Hence answer is not provided that is option f

7) Circumference of Circle 3:

Radius = r = 15 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 270/360

=> 3/4

Therefore, the circle 3 is 3/4 of the complete circle with r = 15.

In this way, its circumference will be 3/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 3/4 (2πr) + 2r

=> 3/4 (2π19) + 2*15

=> 3/4 (38π) + 38

=> 28.5π + 38 Hence answer is not provided that is option f

8) Circumference of Circle 4:

Radius = r = 6 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 270/360

=> 3/4

Therefore, the circle 3 is 3/4 of the complete circle with r = 6.

In this way, its circumference will be 3/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 3/4 (2πr) + 2r

=> 3/4 (2π6) + 2*6

=> 3/4 (12π) + 12

=> 9π + 12 Hence answer is not provided that is option f

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3 years ago
What is x minus 3 over x^2 minus 25 over x^2 minus 9 over x minus 5?
hichkok12 [17]
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6 0
4 years ago
En la división sintética sólo son tomados en cuenta los coeficientes del divisor?
Airida [17]

La división sintetica sirve para el cociente entre polinomios, la cual es particularmente util para cuando tenemos un numerador de grado alto y un denominador de grado 1.

Veremos que si, en la división sintética solo son tomados en cuenta los coeficientes del divisor.

Para explicarla, usaremos un ejemplo.

x^3 - 2x^2 + 5x + 3  será el <u>numerador</u>

x - 2 será el <u>denominador.</u>

Para poder aplicar la división sintetica, el maximo exponente en el <u>denominador </u>debe ser uno.

Así, nuestro cociente es:

\frac{x^3 - 2x^2 + 5x + 3}{x-2}

Procedemos a igualar el <u>denominador</u> a cero:

x - 2 = 0

x = 2

Ahora veremos los coeficientes del <u>numerador</u> (el <u>numerador </u>es el <u>divisor</u>).

Lo que debemos hacer es tomar cada coeficiente (comenzando por los que multiplican a los terminos con mayor exponente) y multiplicarlos por este número.

En este caso, el primer coeficiente es 1.

2*1 = 2

Ahora le sumamos esto al proximo coeficiente, que es -2:

-2 + 2 = 0

Multiplicamos esto por el valor de x, que es 2.

2*0 = 0

Ahora sumamos esto al proximo coeficiente, que es 5

5 + 0  = 5

Multiplicamos esto por el valor de x, que es 2:

5*2 = 10

Sumamos esto al ultimo coeficiente, que es 3.

10 + 3 = 13

Este ultimo valor es el residuo, y los primeros 3 números que obtuvimos son los coeficientes del cociente, entonces el cociente será:

1*x^2 + 0*x + 10 = x^2 + 10

Como vimos, solo usamos los coeficientes del numerador/divisor para realizar esta operación, por lo que si, solo los coeficientes del divisor son tomados en cuenta.

Si quieres aprender más, puedes leer:

brainly.com/question/10466403

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