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3 years ago

The length of a rectangle is 2 feet more than the width. If it’s perimeter is 40 feet, find the length and width

Mathematics

1 answer:

masha68 [24]3 years ago

7 0

Answer:

w=9 feet

l=11 feet

Step-by-step explanation:

Let the length of the rectangle be l and width be w

Condition 1:

l=2+w --------(I)

Condition 2:

2l+2w=40--------(2)

Putting eq (1) in (2)

2(2+w)+2w=40

4+2w+2w=40

4+4w=40

4w=40-4

4w=36

Dividing both sides by 4

w=9

Now

Putting w=9 in eq (1)

l=2+9

l=11

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Four times a number

BlackZzzverrR [31]

Four times a number would equal 4n

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3 years ago

Read 2 more answers

Kareem wrote the values shown below.

grandymaker [24]

Answer:

Option D is correct.

$\lfloor 4.8 \rfloor$ and $\lceil 3.2 \rceil$

Step-by-step explanation:

Floor function states that the greatest integer that is less than or equal to x.

It is represented by: $\lfloor x \rfloor$

Ceiling function states that the least integer that is greater than or equal to x.

It is represented by: $\lceil x \rceil$

As per the statement:-

Kareem wrote the values show below:

$\lceil 3.2 \rceil$ , $\lfloor 2.7 \rfloor$ , $\lceil 2.9 \rceil$ and $\lfloor 4.8 \rfloor$ .

by definition:

$\lceil 3.2 \rceil$ = 4

$\lfloor 2.7 \rfloor$ = 2

$\lceil 2.9 \rceil$ =3

$\lfloor 4.8 \rfloor$ = 4

From the given options only pair which is equivalent is:

$\lfloor 4.8 \rfloor$ and $\lceil 3.2 \rceil$

7 0

3 years ago

Find the volume of cylinder<br> Diameter of base is 11 cm<br> Height of cylinder is 16cm

just olya [345]

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

= 5.5cm

Volume = π × 5.5² × 16

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3 years ago

I need to find the image coordinates of the pre-image using reflection, and it has to be reflected over the line x=2. How do I s

Sladkaya [172]

The answer would be ( x+1, y+4)...... Hope this helps

5 0

3 years ago

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

4 years ago