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1 year ago

Find the least perfect square exactly divisible by each one of the numbers 4,5 and 10

Mathematics

1 answer:

WARRIOR [948]1 year ago

3 0

Answer:

The LCM of 4, 5, and 10 is 20, so the smallest perfect square that is divisible by 4, 5, and 10 is 100.

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Identify the values of the variables. Give your answers in the simplest radical form.

Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

$sin(60) = \frac{9}{k}$

Multiply both sides by k

$k*sin(60) = 9$

Divide both sides by sin(60)

$k = \frac{9}{sin(60)}$

$k = \frac{9}{\frac{\sqrt{3}}{2}}$

$k = 9*\frac{2}{\sqrt{3}}$

$k = \frac{18}{\sqrt{3}}$

Rationalize

$k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{18\sqrt{3}}{3}$

$k = 6\sqrt{3}$

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

$tan(60) = \frac{9}{f}$

Multiply both sides by f

$f*tan(60) = 9$

Divide both sides by tan(60)

$f = \frac{9}{tan(60)}$

$k = \frac{9}{\sqrt{3}}$

Rationalize

$k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{9\sqrt{3}}{3}$

$k = 3\sqrt{3}$

8 0

3 years ago

What is the positive solution to the equation 0 = -x2 + 2x + 1?

katrin2010 [14]

Answer:

there is no solution

Step-by-step explanation:

1st switch sides: -x2+2x+1=0

2nd add similar elements: -2x + 2x = 0

1 = 0

Thus, this equation has no solution

hope i helped :)

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4 years ago

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aleksandr82 [10.1K]

The answer to your question is c

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3 years ago

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daser333 [38]

Answer:

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Step-by-step explanation:

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Simplyfly<br>x+3/x-5 - x+5/x-3

marta [7]

Answer:

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_____

Step-by-step explanation:

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