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QveST [7]
2 years ago
13

The perimeter of a rectangular field is 24 m. If its length is 9m, find (i) breadth (ii) area of the rectangle​

Mathematics
2 answers:
sesenic [268]2 years ago
5 0
  • Breadth be x

\\ \rm\hookrightarrow Perimeter=24

\\ \rm\hookrightarrow 2(9+x)=24

\\ \rm\hookrightarrow 9+x=12

\\ \rm\hookrightarrow x=3

Now

  • Area=Length×Breadth

\\ \rm\hookrightarrow Area=9(3)=27m^2

Monica [59]2 years ago
3 0

Answer:

breadth: 3 m and area of rectangle: 27 m²

explanation:

part A:

perimeter of rectangle: 2 ( length + breadth )

using the formula:

24 = 2 ( 9 + breadth )

9 + breadth = 12

breadth  = 3 m

part B:

area of the rectangle​ =  length * breadth

using the formula:

9 * 3

27 m²

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3 years ago
Solve the system:<br> 2.5(x−3y)−3=−3x+0.5 3(x+6y)+4=9y+19
Aleksandr-060686 [28]

Answer:

The value of x and y that satisfy the equations is x = 2 and y = 1

Step-by-step explanation:

Given

2.5(x−3y)−3=−3x+0.5

3(x+6y)+4=9y+19

Required.

Find x and y

We start by opening all brackets

2.5(x−3y)−3=−3x+0.5 becomes

2.5x - 7.5y - 3 = -3x + 0.5

Collect like terms

2.5x + 3x - 7.5y = 3 + 0.5

5.5x - 7.5y = 3.5 ---- Equation 1

In similar vein, 3(x+6y)+4=9y+19 becomes

3x + 18y + 4 = 9y + 19

Collect like terms

3x + 18y - 9y = 19 - 4

3x + 9y = 15

Multiply through by ⅓

⅓ * 3x + ⅓ * 9y = ⅓ * 15

x + 3y = 5

Make x the subject of formula

x = 5 - 3y

Substitute 5 - 3y for x in equation 1

5.5(5 - 3y) - 7.5y = 3.5

27.5 - 16.5y - 7.5y = 3.5

27.5 - 24y = 3.5

Collect like terms

-24y = 3.5 - 27.5

-24y = -24

Divide through by - 24

y = 1

Recall that x = 5 - 3y.

Substitute 1 for y in this equation

x = 5 - 3(1)

x = 5 - 3

x = 2

Hence, x = 2 and y = 1

3 0
3 years ago
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katovenus [111]
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3 years ago
Blank DVD's are sold in packages of 50 for $17.95 if your company will need 2700 blank divide these next year how much money mus
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

50 X 240 = 2700. So you will need 240 packs of 50. They cost 17.95 each, so the multiply. 240 X 17.95 is 4,308. So, 4,308 is your answer.

5 0
2 years ago
A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet pe
Nuetrik [128]

Answer: 46.90mins

Step-by-step explanation:

The given data:

The diameter of the balloon = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.

Solution:

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

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The radius, r₂ at the point is

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= 464371.11 ft³

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= 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the

above length

Time taken for the radius to increase the length.

= is 70.369 ft/(1.5 ft/min)

= 46.90 minutes

46.90mins is the time taken to inflate the balloon.

5 0
3 years ago
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