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3 years ago

Find the value of x in each figure

Mathematics

1 answer:

Ronch [10]3 years ago

3 0

Answer:

X is 50

Step-by-step explanation:

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3 years ago

Solve the following equations.<br> √3 ⋅ 3^3x = 9

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Answer:

The solution is $x = 0.5$

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

$\sqrt{a} = a^{0.5}$

$\sqrt{3} = 3^{0.5}$

And

$9 = 3^{2}$

This following property is also important:

$\frac{a^{b}}{a^{c}} = a^{b-c}$

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

$\sqrt{3}.3^{3x} = 9$

$3^{0.5}.3^{3x} = 3^{2}$

$3^{3x} = \frac{3^{2}}{3^{0.5}}$

$3^{3x} = 3^{2-0.5}$

$3^{3x} = 3^{1.5}$

This means that:

$3x = 1.5$

$x = \frac{1.5}{3}$

$x = 0.5$

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3 years ago

Which ordered pair is a solution to the following system of inequalities?

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Answer:

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Step-by-step explanation:

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3 years ago

Determine the length of the leg of a 45o – 45o – 90o triangle with a hypotenuse length of 15 inches. ( ANSWER NEEDS TO BE IN RED

SIZIF [17.4K]

Answer:

The lenghts of both legs: $\frac{15\sqrt{2}}{2}\ inches$

Step-by-step explanation:

By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.

Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of any leg of the given triangle by applying the Trigonometric Identity $sin\alpha=\frac{opposite}{hypotenuse}$ :

$sin(45\°)=\frac{leg}{15}\\\\leg=\frac{15}{\sqrt{2}}$

Finally, simplifying, we get:

$leg=\frac{15(\sqrt{2})}{(\sqrt{2})(\sqrt{2})}=\frac{15\sqrt{2}}{2}$

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3 years ago

Find the value of x in each figure ​

Find the value of x in each figure