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koban [17]
3 years ago
11

The length of a rectangle is four times it's width and has an area of 1024cm squared. Work out the width of the rectangle

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

Width = 16 cm

Step-by-step explanation:

Given that

Area of rectangle = 1024 cm²

Length of rectangle = four times the width

Let the width of rectangle be  W cm

Now we know that Area of rectangle = Length × Width

Or,                          Area of rectangle = (4 × width ) × width

                                1024 cm² = 4 × W²

                                \frac{1024}{4} = W²

                                256 = W²

∴                               W = \sqrt{256}

Or,                            W = 16 cm

Hence the width of given rectangle is 16 cm        Answer.

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A clothing manufacturer produces 120 garments per hour, of which 5 are damaged. How many garments without damage would the manuf
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Answer:

<h2>Step-by-step explanation:</h2>

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given    120 clothes = produce in 1 hour

                  X clothes  = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960  total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

 5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y=  40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y   = 960 - 40  = 920 clothes

3 0
2 years ago
What is 4855/200 simplified
EleoNora [17]

Answer:

The answer is 2427.5

Step-by-step explanation:

The fraction consists of two numbers and a fraction bar: 4,855/200

The number above the bar is called numerator: 4,855

The number below the bar is called denominator: 200

The fraction bar means that the two numbers are dividing themselves.

To get fraction's value divide the numerator by the denominator:

Value = 4,855 ÷ 200

To calculate the greatest common factor, GCF:

1. Build the prime factorizations of the numerator and denominator.

2. Multiply all the common prime factors, by the lowest exponents.

Factor both the numerator and denominator, break them down to prime factors:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

4,855 = 5 × 971;

4,855 is a composite number;

In exponential notation:

200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;

200 is a composite number;

3 0
3 years ago
A bicycle is made up of two basic geometric shapes. They are:
alex41 [277]
They are circle and triangle.

Best of luck in geometry
5 0
3 years ago
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A regular polygon has an interior angle of approximately 158.8°.
Step2247 [10]

Answer:

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Step-by-step explanation:

<u>Property of regular polygons:</u>

  • Sum of Interior Angles = (n−2) × 180°, where n is number of sides

<u>In our case we have:</u>

  • 158.8×n = (n - 2)×180
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5 0
3 years ago
Assuming the conditions regarding the motion represented in the graph remain the same, determine the acceleration of the object
vovikov84 [41]

(a)

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we know that

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so, slope of curve of velocity is acceleration

so, we will find slope of this line

We can select any two points

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we can use slope formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug points

m=\frac{7-4}{5-0}

m=0.6

we know that slope of line is always constant irrespective of any value of t

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so, we will get acceleration

a(t)=0.6m/s^2............Answer

(b)

we can see that acceleration is constant

and we know that

derivative of constant is always 0

so, instantaneous rate of acceleration at t=10s is 0........Answer

7 0
3 years ago
Read 2 more answers
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