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ella [17]
2 years ago
10

Solve for base. Is anyone willing to help? Show the steps if you can.

Mathematics
1 answer:
Likurg_2 [28]2 years ago
3 0

Answer:

<h2>24 is 0.75% of 3,200</h2>

Step-by-step explanation:

\bold{METHOD\ 1}\\\\\begin{array}{ccc}24&-&0.75\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\0.75x=(24)(100)\\0.75x=2400\qquad\text{divide both sides by 0.75}\\x=3200

\bold{METHOD\ 2}\\\\x-\text{the number}\\\\p\%=\dfrac{p}{100}\to0.75\%=\dfrac{0.75}{100}=\dfrac{0.75\cdot100}{(100)(100)}=\dfrac{75}{10000}=\dfrac{75:25}{10000:25}=\dfrac{3}{400}\\\\0.75\%\ of\ x\ is\ equal\ to\ 24\\\\\dfrac{3}{400}x=24\qquad\text{multiply both sides by 400}\\\\3x=9600\qquad\text{divide both sides by 3}\\x=3200

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Angelina_Jolie [31]

Answer: x=(7√6)/2

Step-by-step explanation:

To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.

For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.

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