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Lostsunrise [7]
2 years ago
12

Go step by step to reduce the radical.

Mathematics
1 answer:
zysi [14]2 years ago
4 0
2x16 is 32 so you would take square root of 16 out which is 4 and leave the 2 inside. So the answer is 4sqrt(2)
You might be interested in
a circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle, what is the area of the shaded region
mojhsa [17]

Answer:

42.43  cm^{2}

Step-by-step explanation:

<u>Given</u>:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

<u> Solution:</u>

First of all calculate area of circle and then area of rectangle:-

Area\ of\  cirle=\pi r^{2}

                      = =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\  \\=78.571

As here length an width both are 11 cm, we can say that this is a square.

Area\ of\ square=(Side)^{2}

                          = =11\times11=121\ cm^{2}

                   

<u>Now, area of shaded region = Area of square - Area of circle</u>

                                               = 121 - 78.571 = 42.429 cm^{2}

Therefore, the area of the shaded region will be 42.43  cm^{2}

                                   

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5 0
3 years ago
The area of a rectangle is <img src="https://tex.z-dn.net/?f=14ft%5E2" id="TexFormula1" title="14ft^2" alt="14ft^2" align="absmi
svetlana [45]

Answer:

So, Width  = 7/2 or 3.5

Length =  4

Step-by-step explanation:

Area of rectangle = 14 ft^2

Let width of rectangle 2 = x

and Length of rectangle = 2x-3

Formula used for area of rectangle

Area = Length * Width

14 = (2x - 3) x

14 = 2x^2 - 3x

=> 2x^2 -3x -14 = 0

Solving the quadratic equation using factorization

-28 x^2 = -7x * -4x

2x^2 -7x + 4x -14 = 0

x (2x -7) +2(2x-7) = 0

(x+2) (2x-7) =0

=> x + 2 =0 and 2x -7 = 0

x = -2 and x = 7/2

Since width cannot be negative so, x= 7/2

Width= x = 7/2

Length = 2x -3 => 2(7/2) - 3

=> 7 -3

=> 4

So, Width =  7/2 or 3.5

Length =  4.

7 0
4 years ago
Read 2 more answers
Which best describes the strength of the model with an r-value of –0.93?
shtirl [24]

The <em><u>correct answer</u></em> is:

a strong negative correlation

Explanation:

A strong correlation is one that is close to either 1 or -1. -0.93 is very close to -1, so this is a strong correlation.

A negative correlation is one that has a negative r-value. This is a negative r-value, so it is a negative correlation.

7 0
3 years ago
Read 2 more answers
Find area of circle use 3.14 for pie a horse ring has the radius of 10 yards
Ugo [173]
314.16 yards^2 for the Area
3 0
3 years ago
Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves six dollars. On Saturday, Rob earned $75 bab
nikitadnepr [17]
If he saves $6 from every $15 he gets, then getting $75 means he saves $30.
Lets says he is paid 15 dollars every hour, and from those he saved 6 dollars. If he earned 72 dollars, that means he is paid 5 times (because 75/15 is 5). So if every time he is paid he saves $6, being paid 5 times means he saves $30 ($6 *5).
6 0
3 years ago
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