Can 27:6 be simplified

2 answers:

7 0

Yes it can. All you have to do is a find a factor of both the numbers 27 &6 both have a factor of three so all you do is divide both the numbers by the factor (which in our case is 3) and then put the answers in replace of each number . Like so 9:2 Hope this helps

Vika [28.1K]4 years ago

4 0

Divide each number by three. The new answer is 9:2

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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 23 feet up. The

leva [86]

The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

The ladder forms a right triangle as it lies against the wall as shown in the image below.

Thus:

x = length of the ladder (hypothenuse)

Reference angle $(\theta) = 75^{\circ}$

25 ft = Opposite

Apply SOH:

Thus,

$sin(\theta) = \frac{Opposite}{Hypotenuse}$

Plug in the values

$sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}$

Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

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brainly.com/question/23973168