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3 years ago

A rectangle has an area of 235.2m2.

Mathematics

1 answer:

garri49 [273]3 years ago

7 0

Answer:

173.6 m

Step-by-step explanation:

Perimeter of rectangle= 2* length + 2* width

Area = 235.2m²

Length= 2.8

Area of rectangle: length*width

So: 2.8*width= 235.2m²

width= 235.2/2.8= 84

Use the formula for perimeter of rectangle

So: 84*2 + 2.8*2

Perimeter= 173.6m

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Air containing 0.04% carbon dioxide is pumped into a room whose volume is 6000 ft3. The air is pumped in at a rate of 2000 ft3/m

borishaifa [10]

Answer:

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

Step-by-step explanation:

Air containing 0.04% carbon dioxide

V, volume of room is 6000 ft3.

Q, rate of air 2000 ft3/min,

initial concentration of 0.4% carbon dioxide,

determine the subsequent amount in the room at any time.

What is the concentration at 10 minutes?

firstly, we find the time taken for air to completely filled the room

Q = V/t

t = V/Q = 6000/2000 = 3min

so, its take 3mins for air to be completely filled in the room and for exhaust air to move out.

there is an initial concentration of 0.4% carbon dioxide, and the air pump in is 0.04%.

therefore,

3mins = 0.04% of CO2

3*60 =180sec = 0.04%

1sec = 0.04/180 = 0.00022%/sec

so at any time the concentration of CO2 is 0.4 + 0.00022 =0.40022%/sec

What is the concentration at 10 minute

the concentration at 10minutes = the concentration for 1minute because at every minutes, the concentration moves in is moves out. = concentration for 2000ft3.

for 0.04% = 6000ft3

? = 2000ft3

= 2000* 0.04)/6000 =0.0133%

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

4 0

4 years ago

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 5 minutes

Maurinko [17]

5 minutes later the hand moves five minutes later

4 0

3 years ago

Describe a sequence of reflections, rotations, and translations that shows that quadrilateral ABCD is congruent to quadrilateral

rusak2 [61]

Answer:

Rotate it counterclockwise then reflect it across the Y-axis

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Step-by-step explanation:

3 0

3 years ago

A taxi driver had 43 fares to and from the airport last Monday. The price for a ride to the airport is $12, and the price for a

leva [86]

Answer:

(25,18) is the required solution.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of trips to the airport and y represent the number of trips from the airport.

Total number of fares to and from the airport = 43

Thus, we can write the equation:

$x+y = 43$

Price for a ride to the airport = $12

Price for a ride from the airport = $10

Total amount collected by the driver = $480

Thus, we can write the equation:

$12x+10y=480$

Solving the two equations, we get,

$12x+12y-(12x+10y)=516-480\\\Rightarrow 2y =36\\\Rightarrow y = 18\\\Rightarrow x = 43-18=25$

Thus, the driver made 25 trips to the airport and 18 trips from the airport.

The solution can be represented as (25,18)

7 0

3 years ago

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma

Nata [24]

Answer:

The equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is x and the larger number is y.

y, is equal to twice the sum of a smaller number and 3.

This information can be written as: $y=2(x+3)$

Which can be further solve as:

$y=2x+6$

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: $y=5+3x$

Thus, the equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Which can be further solve as:

$2x+6=5+3x$

$x=1$

Now, substitute the value of x in $y=5+3x$ .

$y=5+3$

$y=8$

3 0

3 years ago

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