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lara [203]
2 years ago
13

An area rug in Rachel's room is shown below. A rectangle that is one hundred forty-four inches long and one hundred eight inches

wide Part A How can you convert the dimensions of the area rug from inches to feet? Use the drop-down menus to explain. the number of inches by to convert to feet. Part B What is the perimeter of the area rug in feet? Enter your answer in the box. feet
Mathematics
1 answer:
ValentinkaMS [17]2 years ago
3 0

Answer:

42 feet

Step-by-step explanation:

1) remeber how 1 foot=12 inches

                         we need to find "x" feet for 144 inches

so

\frac{1}{12}=\frac{x}{144}

2) cross multiply

144=12x

divide both sides by 12

12=x

so 144 inches is 12 feet, we need to do the exact same thing for the width

\frac{1}{12} =\frac{x}{108}

108=12x

9=x

the length is 12 feet and width is 9 feet

to find perimeter:

2(l)+2(w)

2*12+2*9

24+18=42

Hope this helps!

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15) Bob has 12 black pen, 14 red pen, 15 green pens, 24 blue pens and 3 boxes of
cricket20 [7]

Answer:

13, 16, 18

Step-by-step explanation:

Sabemos que podemos calcular el total de plumas amarillos, por medio de la media.

16 = (12 + 14 + 15 + 24 + x + y + z) / 7

16 * 7 = 12 + 14 + 15 + 24 + x + y + z

112 = 65 + x + y + z

x + y + z = 112-65

x + y + z = 47

sabemos que la mediana es el valor medio, y que ese 46 debe dividirse entre 3 valores porque son 3 cajas, entonces debemos buscar los números adecuados para el valor 15 esté en la mitad, es decir de cuarto.

Sin meter los valores nuevos, el ranking sería así:

12

14

15

24

el 15 esta de tercero, para que quede de cuarto, debe tener dos valores por debajo y un por arriba, así:

X

12

14

15

y

z

24

Por lo tanto, valores mayores a 15 serían por ejemplo y = 16 y z = 18:

16 + 18 = 34

x = 47-34 = 13

quedaría:

12

13

14

15

dieciséis

18 años

24

Si recalculamos la media:

m = (12 + 14 + 15 + 24 + 13 + 16 + 18) / 7 = 16

8 0
2 years ago
Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 32feet above the ground,
Jlenok [28]

Answer:

There are two times for the ball to reach a height of 64 feet:

1 second after thrown ⇒ the ball moves upward

2 seconds after thrown ⇒ the ball moves downward

Step-by-step explanation:

* Lets explain the function to solve the problem

- h(t) models the height of the ball above the ground as a function

 of the time t

- h(t) = -16t² + 48t + 32

- Where h(t) is the height of the ball from the ground after t seconds

- The ball is thrown upward with initial velocity 48 feet/second

- The ball is thrown from height 32 feet above the ground

- The acceleration of the gravity is -32 feet/sec²

- To find the time when the height of the ball is above the ground

  by 64 feet substitute h by 64

∵ h(t) = -16t² + 48t + 32

∵ h = 64

∴ 64 = -16t² + 48t + 32 ⇒ subtract 64 from both sides

∴ 0 = -16t² + 48t - 32 ⇒ multiply the both sides by -1

∴ 16t² - 48t + 32 = 0 ⇒ divide both sides by 16 because all terms have

  16 as a common factor

∴ t² - 3t + 2 = 0 ⇒ factorize it

∴ (t - 2)(t - 1) = 0

- Equate each bracket by zero to find t

∴ t - 2 = 0 ⇒ add 2 to both sides

∴ t = 2

- OR

∴ t - 1 = 0 ⇒ add 1 to both sides

∴ t = 1

- That means the ball will be at height 64 feet after 1 second when it

 moves up and again at height 64 feet after 2 seconds when it

 moves down

* There are two times for the ball to reach a height of 64 feet

  1 second after thrown ⇒ the ball moves upward

  2 seconds after thrown ⇒ the ball moves downward

3 0
2 years ago
A sumo wrestling ring is circular and has a circumference of 4.6\pi \text{ meters}4.6π meters4, point, 6, pi, start text, space,
frez [133]

Answer:

The area of the sumo wrestling ring is 5.29 \pi

Step-by-step explanation:

The circumference of the circular sumo wrestling ring is 4.6\pi, that means its radius r is:

2\pi r=4.6\pi

r=\frac{4.6}{2} =\boxed{2.3\:meters.}

Now once we have the radius r of the sumo wrestling ring we can find its area A by the following formula:

A=\pi r^2

Putting in the value of r=2.3\:meters we get:

A=\pi (2.3m)^2=\boxed{5.29\pi\:\:m^2}

Therefore the area of the sumo wrestling ring is {5.29\pi\:\:m^2

3 0
2 years ago
Read 2 more answers
Rita walks on a treadmill for exercise. She creates the table below to show the relationship
hichkok12 [17]

Answer:

Step-by-step explanation:

I dont know either help

7 0
2 years ago
Read 2 more answers
Compare the decimals by using the symbol < or >. a. 0.531 _____ 0.456 b. 0.63 _____ 0.47 c. 0.267 _____ 0.539 d. 0.07 ____
rodikova [14]

Answer:

0.531  > 0.456

0.63 > 0.47

0.267  < 0.539

0.07 < 0.7

Step-by-step explanation:

a. 0.531 _____ 0.456

compare the numbers from left to right

5 is greater than 4 so 0.531 greater than 0.456

0.531  > 0.456

b. 0.63 _____ 0.47

6 is greater than 4. 0.63 > 0.47

c. 0.267 _____ 0.539

2 is less than 5 . so 0.267 less than 0.539

0.267  < 0.539

d. 0.07 _____ 0.7

0 is less than 7

0.07 < 0.7

6 0
2 years ago
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