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EastWind [94]
3 years ago
5

The length of a rectangle is 7 centimeters greater than the width.

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

length = 17cm, width = 10cm

Step-by-step explanation:

2L + 2w = 54

L = w + 7

Substitute:

2(w + 7) + 2w = 54

2w + 14 + 2w = 54

4w = 40

w = 10

L = 10 + 7 = 17

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Which expression has a positive value?
Alexus [3.1K]

Answer:

C - 3 (negative 64 divided by 8) + 25 =1

Step-by-step explanation:

4 0
3 years ago
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The dot plot shows the number of pencils each boy has at his desk in class.
Elanso [62]

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

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3 0
3 years ago
Fifteen less than twice a number is 21.<br> What is the missing number? |
Vikentia [17]

Answer:

2y - 15

Step-by-step explanation:

well 15 LESS than TWICE a number. okay so let’s start off by making a variable for the unknown number.... y. the variable is y. so now we have to think, TWICE that number, but we don’t know the number.

Now that we have the variable and we know it has to be doubled, let’s start off making the first half... we can out that into 2y. which is 2 multiplied by the unknown number.

now that we have the first half done, we have to take the 15 less. Less can mean  or subtract in this kind of situation. but for this certain scenario, it will be subtraction. so the equation would be 2y - 15.

4 0
2 years ago
In figure find the area of the red part.​
larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle  

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB   α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45°  as   AE is  diagonal of Square of side  4

=> ∠AEF  + 180° - 2α + 45° = 180°

=>  ∠AEF =  2α - 45°  = 8.13°

in Left side area  between square  and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area  between square  and circle  = 4² - (1/4)π4²

= 3.4336 sq unit

half  =  1.7168 sq unit  

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF  

AE = 4√2  , EF = 4    angle = 8.13°

area ΔAEF   = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area  sector EGF  = (8.13/360)π4² = 1.135  sq unit

area AFG  = 1.6 - 1.135  = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252  sq unit

= 1.25 sq unit.

Hope this helps!!

5 0
2 years ago
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Find the work done by gas?
salantis [7]

The work done by the gas when the gas expands will be 567.65 ft-lb.

<h3>What is the work done for an isothermal process?</h3>

The Pressure is inversely proportional to the volume.

Let the initial pressure and initial volume be P₁ and V₁, and the final volume be V₂.

Then the work done by the gas will be

WD = P₁ V₁ ln (V₂ / V₁)

A quantity of the gas with an initial volume of 2 cubic feet and an initial pressure of 700 pounds per square foot.

The gas expands to a volume of 3 cubic feet.

Then the work done by the gas will be

WD = 700 x 2 x ln (3/2)

WD = 1400 x 0.405

WD = 567.65 ft-lb

The work done by the gas when the gas expands will be 567.65 ft-lb.

More about the work done for isothermal process link is given below.

brainly.com/question/4218306

#SPJ1

7 0
2 years ago
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