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Assoli18 [71]
3 years ago
6

Thank you so much for solving this!

Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Answer:

3. 6^9 / 6^-2

5. (6^3)^3

Step-by-step explanation:

What you do is solve for each of the expressions and each one that is less than 6^14 / 6^2 is your answer.

Let's start with what 6^14 / 6^2 equals:

<em>6^14 / 6^2 = 2,176,782,336</em>

Now lets start at the top and work our way down.

<em>6^15 x 6^-2 = 470,184,984,576    </em><u>This is bigger than 6^14 / 6^2 so this is not one of the answers.</u>

<em>6^8 / 6^-6 = 7.83641641 x10^10    </em><u>This is bigger than 6^14 / 6^2 so this is not one of the answers.</u>

<em>6^9 / 6^-2 = 362,797,056       </em><u>This is smaller than 6^14 / 6^2 so this is one of your answers.</u>

<em>6^16 x 6^-4 = 2,176,782,336    </em><u>This is the same as 6^14 / 6^2 so this is not one of the answers.</u>

<em>(6^3)^3 = 10,077,696        </em><u>This is smaller than 6^14 / 6^2 so this is one of your answers.</u>

3. 6^9 / 6^-2

5. (6^3)^3

These are your answers.

Gnoma [55]3 years ago
5 0

Hey there! Your answer should be  the first one and the second one. I do hope it was right. So sorry if I was wrong. Hope it helped! Your fellow Brainly user, GalaxyGamingKitty.

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The goal to proving identities is to transform one side into the other. We can only pick one side to transform while the other side stays the same the entire time. The general rule of thumb is to transform the more complicated side (though there may be exceptions to this guideline).

So I'll take the left hand side and try to turn it into \csc^2( B )

One way we can do that is through the following steps:

\frac{\tan(B) + \cot(B)}{\tan(B)} = \csc^2(B)\\\\\frac{\tan(B)}{\tan(B)} + \frac{\cot(B)}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\frac{1}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\cot(B) = \csc^2(B)\\\\1 + \cot^2(B) = \csc^2(B)\\\\1 + \frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)}{\sin^2(B)}+\frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)+cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{1}{\sin^2(B)} = \csc^2(B)\\\\\csc^2(B)=\csc^2(B) \ \ {\Large \checkmark}\\\\

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4 0
3 years ago
What is the ratio of 1.5 inch screws to 2.5 inch screws?
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Step-by-step explanation:

1.5 : 2.5

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15/25

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there are 6 boys for every 8 girls, so the initial ratio is 6:8. however, this can be simplified by finding a number both 6 and 8 are evenly divisible by. In this case, you can divide the ratio by 2. 6/2 = 3 and 8/2 = 4, which is why the simplified form is 3:4

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3 years ago
ΔXYZ was reflected to form ΔLMN.
goldfiish [28.3K]

ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>

Reflection is a rigid transformation, hence it produces congruent figures with congruent angles.

∠Y + ∠X + ∠Z = 180 (angle in a triangle)

86 + 38 + ∠Z = 180

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86 + 56 + ∠L = 180

∠L = 38°

ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN

Find out more on transformation at: brainly.com/question/4289712

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