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AURORKA [14]
2 years ago
12

Find the value of x 12 5 X

Mathematics
1 answer:
steposvetlana [31]2 years ago
5 0

Answer:

x = 13

Step-by-step explanation:

Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.

Set the equation:

a² + b² = c²

let:

a = 5

b = 12

c = x

Plug in the corresponding numbers (& x) to the corresponding variables:

(5)² + (12)² = (x)²

Simplify. First, solve for the power, and then add:

x² = (5²) + (12²)

x² = (5 * 5) + (12 * 12)

x² = 25 + 144

x² =  169

Next, root both sides of the equation:

√x² = √169

x = √169 = √(13 * 13) = 13

x = 13

~

Note the rules, and it should be easier:

30-60-90° = 1 , √3 , 2

45-45-90° = 1 , 1 , √2

Any other measurements use the equation:  a² + b² = c²

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Answer:

Step-by-step explanation:

Area of left rectangle:

Length = 36 ft

Width  = 8

Area1 = length * width

         = 36 * 8

        =  288 square feet

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Length = 15 ft

Width = 22 - 8 = 14 ft

Area2 = 15 * 14

          = 210 square feet

Area of the figure = Area1 + area2

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Simplify:<br> sec x – sec x<br> (sin x)2
givi [52]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
8. Divide: (6x² - 4x)+2x<br>A. 3x - 4x<br>B. 3x - 2x<br>C. 6x-2<br>D. 3x - 2​
kompoz [17]

Answer:

3x-2

Step-by-step explanation:

I think you meant (6x^2-4x) divided by 2x

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8 0
2 years ago
The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal fro
Neporo4naja [7]

Answer:

7.8 in

Step-by-step explanation:

Given:-

- The dimension of rectangular prism:

                                   (3 x 4 x 6) inches

Find:-

What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

Solution:-

- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).

- Then we will use the distance between two points formula in cartesian coordinate system:

                    Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).

- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:

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3 years ago
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