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Pavlova-9 [17]
4 years ago
15

Find the missing side. Leave your answer in simplest radical form.

Mathematics
1 answer:
ollegr [7]4 years ago
6 0

Answer:

\sqrt{19}  \: units

Step-by-step explanation:

Given is a right angled triangle in which x represents the hypotenuse.

Therefore, by Pythagoras theorem:

x =  \sqrt{( { \sqrt{10} })^{2}  +  {3}^{2} }  \\  \\  =  \sqrt{10 + 9}  \\  \\  =  \sqrt{19}  \: units \\

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The volume of a square prism is 144x^3 +216x^2 +81x
Svetach [21]

Answer:

Equation for the perimeter of prism's square face: 16x + 12

Step-by-step explanation:

Volume of Square prism = Length * Width * Height

                                         = 144 x^3 + 216 x^2 +81 x

taking 9x common = 9x( 16 x^2 + 24 x + 9)

                               = 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )

                                = 9x ( 4x+3)^2

so the length is 9x, width is 4x+3 and height is 4x+3

Now, Perimeter of prism's square face = 2* Width + 2 * Height

                                                                = 2* (4x+3) + 2* (4x+3)

                                                                = 8x +6 + 8x + 6

                                                                = 16x +12

                   

6 0
3 years ago
Solve for x in the second equation and substitute it into the first equation. The result is .
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Where is the equation?
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A harris poll found that 35% of people said that they drink a caffeinated beverage to combat midday drowsiness. a recent survey
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No it's not believable.
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4 years ago
Order the decimals from least to greatest...
PtichkaEL [24]

Answer:

-1.5

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4 years ago
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Consider the figure below.<br><br><br><br> Find the value of x.
Flauer [41]

Answer:

x = 5

Step-by-step explanation:

When two straight lines intersect, four angles are formed.  The angles that are directly opposite of each other are equal.  Since the angles are equal set the values equal to each other and solve for x.

5x - 5 = 2x + 10

5x - 5 - 2x = 2x + 10 - 2x

3x - 5 = 10

3x - 5 + 5 = 10 + 5

3x = 15

3x/3 = 15/3

x = 5

6 0
3 years ago
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