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Minchanka [31]
3 years ago
13

Simplify completely x2 + 4x - 45/x2 +10x+9 and find the restrictions on the variable.

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

The correct answer is,

{x}^{2}  + 14x -   \frac{45}{ {x}^{2} }  + 9

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Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =
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Answer:

\sin L = 0.60

tan\ N = 1.33

\cos L = 0.80

\sin N = 0.80

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

MN = 6

LN = 10

First, we need to calculate length LM,

Using Pythagoras theorem:

LN^2 = MN^2 + LM^2

10^2 = 6^2 + LM^2

100 = 36 + LM^2

Collect Like Terms

LM^2 = 100 - 36

LM^2 = 64

LM = 8

Solving (a): \sin L

\sin L = \frac{Opposite}{Hypotenuse}

\sin L = \frac{MN}{LN}

Substitute values for MN and LN

\sin L = \frac{6}{10}

\sin L = 0.60

Solving (b): tan\ N

tan\ N = \frac{Opposite}{Adjacent}

tan\ N = \frac{LM}{MN}

Substitute values for LM and MN

tan\ N = \frac{8}{6}

tan\ N = 1.33

Solving (c): \cos L

\cos L = \frac{Adjacent}{Hypotenuse}

\cos L = \frac{LM}{LN}

Substitute values for LN and LM

\cos L = \frac{8}{10}

\cos L = 0.80

Solving (d): \sin N

\sin N = \frac{Opposite}{Hypotenuse}

\sin N = \frac{LM}{LN}

Substitute values for LM and LN

\sin N = \frac{8}{10}

\sin N = 0.80

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3 years ago
The formula for the area of a circle is A=pir^2. Find the area of a circle with a diameter of 6.4 centimeters. Use a calculator
Advocard [28]
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4 years ago
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