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Klio2033 [76]
3 years ago
8

What is the value of X? (geometry, right triangles)

Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{x}{10} = \frac{1}{2} ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5 → C

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X^2 + 5x = quadratic equation <br>=​
timama [110]

Hi there!

The question gives us the quadratic equation , and it tells us to solve it using the quadratic formula, which goes as . However, we must first find the values of a, b, and c. The official quadratic equation goes as , which matches the format of the given quadratic equation. Hence, the value of a would be 1, the value of b would be 5, and the value of c would be 3. Now, just plug it back into the quadratic equation and simplify to get the zeros of the equation. 

x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}  

x = \frac{-(5) \pm \sqrt{(5)^2 - 4(1)(3)} }{2(1)}  

x = \frac{-5 \pm \sqrt{25 - 12} }{2}  

x = \frac{-5 \pm \sqrt{13} }{2}  

x = \frac{-5 \pm 3.61 }{2}  

x = \frac{-5 + 3.61 }{2}, x = \frac{-5 - 3.61 }{2}

x=-0.695 \ \textgreater \ \ \textgreater \  -0.7, x= -4.305 \ \textgreater \ \ \textgreater \ x=-4.31

Therefore, the solutions to the quadratic equation  are x = -0.7 and x = -4.31. Hope this helped and have a phenomenal day!

Your answer is 4.31

4 0
3 years ago
If 32x+1 - 3x+5, what is the value of x?<br> оооо
Zolol [24]

Answer:

x = \frac{4}{35}

Step-by-step explanation:

Given

32x + 1 = - 3x + 5 ( add 3x to both sides )

35x + 1 = 5 ( subtract 1 from both sides )

35x = 4 ( divide both sides by 35 )

x = \frac{4}{35}

7 0
3 years ago
Read 2 more answers
Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n.<br><br> thanks.
azamat

Answer: i think  (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

6 0
3 years ago
at a certain time of day, a tree that is X meters tall casts a shadow that is x-34 meters long. if the distance from the top of
stiv31 [10]

Try reviewing your lesson and use symbolab.com a lot of tools on that website that could help you out with this problem

8 0
3 years ago
I need to solve for X btw they are same side interior ( supplementary angles )​
Sidana [21]

Answer:

x = 17.2

Step-by-step explanation:

since they are supplementary, when you add then together they equal 180

4x + 8 + 6x = 180

Combine like terms

10x + 8 = 180

subtract 8 from both sides

10x = 172

divide each side by 10

x = 17.2

hope this helps :)

7 0
3 years ago
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