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Irina-Kira [14]
2 years ago
10

Find the lenght of side a will give crown

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
6 0

Answer:

D) 4

Step-by-step explanation:

Pythagorean theorem,

base² + altitude² = hypotenuse²

3² + altitude²   = 5²

9 + altitude²   = 25

      altitude²  = 25 - 9

     altitude²    = 16

altitude = √16 = 4

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We have to simplify and get the value of x from this inequality given:

Given inequality,

3(x - 4) > 5x + 2

Now let's simplify by using distributive property,

3x - 12 > 5x + 2

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

3x - 12 - 5x  - 2 > 0

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Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

\dfrac{ - 2x - 14}{ - 2}  >  \dfrac{0}{ - 2}

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Now subtracting -7 from both sides,

x + 7 - 7 < 0 - 7

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Step-by-step explanation:

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