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erastovalidia [21]
2 years ago
11

Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A​

Mathematics
1 answer:
Paha777 [63]2 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

\sin(B) is calculated as:

\sin(B) = \frac{Opposite}{Hypotenuse}

\sin(B) = \frac{b}{c}

(b) cos B

\cos(B) is calculated as:

\cos(B) = \frac{Adjacent}{Hypotenuse}

\cos(B)  = \frac{a}{c}

(c) tan B

\tan(B) is calculated as:

\tan(B) = \frac{Opposite}{Adjacent}

\tan(B) = \frac{b}{a}

(d) tan A

\tan(A) is calculated as:

\tan(A)= \frac{Opposite}{Adjacent}

\tan(A) = \frac{a}{b}

(e) cos A

\cos(A) is calculated as:

\cos(A) = \frac{Adjacent}{Hypotenuse}

\cos(A) = \frac{b}{c}

(f) sin A

\ain(B) is calculated as:

\sin(B) = \frac{Opposite}{Adjacent}

\sin(B) = \frac{a}{c}

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Answer:

$4918

Step-by-step explanation:

first income must be divided according to tax bracket

2% tax on first 3000 income= 2% of $3000=$60

3% tax on income after first 3000 but upto 5000= 5000-3000= $2000

=3% of 2000= $60

5% tax on income after second 5000 but upto 12000= 17000-5000

=12000 5% of $12000= $600

Lastly, 5.75% income over 17000=

90000-17000= $73000 so, 5.75 % of 73000= $4197.5

tax= $60+60+600+4197.5

= $4917.5

= $4918

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Which of the following ordered pairs (x,y) satisfies
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3 years ago
Evaluate the following division: (3b-6a)÷(30a-15b)​
shutvik [7]

Evaluate the following division: (3b-6a)÷(30a-15b) is <u>-</u><u>1</u><u>/</u><u>5</u><u>.</u>

<h2><u>INTRODUCTION</u></h2>

~ Algebraic Forms and their Elements

Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.

Elements of Algebra:

1. Variables, Constants and Coefficients

Pay attention to the algebraic form 3x + 2y + 3

From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.

And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.

2. Terms and Factors

» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.

Example: 2x, 2a², -4xy, . . .

» Term two is an algebraic form that is connected by an operation of sum or difference.

Example: 2x + 3, a² - 4, 3x² - 4x, . . .

» Similar terms in algebraic form are terms that have the same variable and the same power.

Example:

2a is similar to 3a, 4a, etc.

» Factors are part of the algebraic form that is restricted to multiplication operations.

Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.

Calculation Operations on Algebraic Forms

1. Addition and subtraction of algebraic forms can only be done on similar terms.

2. Multiplication and division of algebraic forms.

Multiply two terms by constants or variables.

Example:

3 (4y + 5)

= (3 × 4y) + (3 × 5)

= 12y + 15

Division of two terms with a variable or constant, for example:

(8y+4)/2 = 8y/2 + 4/2 = 4y + 2

<h2><u>DISCUSSION</u></h2>

(3b-6a)÷(30a-15b)

= (-6a + 3b) ÷ (-5(-6a+3b))

= (-6a+3b)/(-5(-6a+3b))

= -1/5

<h3>Conclusion:</h3>

So, Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.

<h3>Learn More:</h3>

(mampir ke indo:v)

  1. Algebraic subtraction material: https://brainly.co.id/task/35216852
  2. Algebraic arithmetic operations: https://brainly.co.id/task/26250852
  3. The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780

_____________

<h3>Answer Details:</h3>

Class: 7 Middle School

Subject: Math

Material: Chapter 2.1 -Operations of Algebraic Forms

Categorization Code: 7.2.2.1

Keywords: Simple form of algebra

7 0
2 years ago
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