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mote1985 [20]
2 years ago
11

How to solve for X in the triangle

Mathematics
2 answers:
worty [1.4K]2 years ago
8 0

Answer:

x = 16\sqrt{2}

Step-by-step explanation:

we are given <u><em>a right triangle</em></u>.

then

In order to determine x we need to use

the Pythagorean theorem:

x^{2}+8^{2}=24^{2}

⇔ x² + 64 = 576

⇔ x² = 576 - 64

⇔ x² = 512

⇔ x² = 2⁹

⇔ x² = 2 × 2⁸

\Longleftrightarrow x=\sqrt{2\times 2^{8}} =\sqrt{2\times \left( 2^{4}\right)^{2}  }

\Longleftrightarrow x= \sqrt{\left( 16\right)^{2}  } \times \sqrt{2

\Longleftrightarrow x = 16\sqrt{2}

Vikentia [17]2 years ago
7 0

Answer:

22.6

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=24^2

b^2=512

b=22.6

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How is a rectangle similar to a square?
STatiana [176]

Answer:

So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

Hope this helps!


7 0
3 years ago
Read 2 more answers
Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?
Tanzania [10]

Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles

Step-by-step explanation:

3 0
2 years ago
What is the value of x in this diagram?
mixas84 [53]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!

6 0
2 years ago
Solve the equation. And write all solutions in general form.
Amiraneli [1.4K]

Answer:

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Step-by-step explanation:

8 cos^2 x + 4 cos x-4 = 0

Divide by 4

2 cos^2 x +  cos x-1 = 0

Let u = cos x

2 u^2 +u -1 =0

Factor

(2u -1) ( u+1) = 0

Using the zero product property

2u-1 =0    u+1 =0

u = 1/2      u = -1

Substitute cosx for u

cos x = 1/2    cos x = -1

Take the inverse cos on each side

cos ^-1(cos x) = cos ^-1(1/2)   cos ^-1( cos x) =cos ^-1( -1)

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

8 0
3 years ago
-114=-5x-2(4x+18)<br> ????????
SVETLANKA909090 [29]

Primeiro multiplica o -2 com tudo que tem dentro do parenteses (chuveirinho)  -114 = -5x -2(4x+18)

-2 . 4x = -8x        +     -2 . 18 = -36        =   -8x-36


Agora soma os números com incógnitas (no caso x)

-114 = - 5x - 8x -36    


Joga a incógnita do outro, tornando positiva

-114 = -13x - 36            

13x -114 = -36


e o 114 do outro lado, ficando positiva também  

13x -114 = -36

13x  = - 36 + 114

13x = 78

x = 78 /13

x= 6


ESPERO TER AJUDADO :)


8 0
3 years ago
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