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3 years ago

To which subsets of the real numbers does the number 82 belong?

1 answer:

3 0

We know that
82 is an integer, a whole number, a natural number, and a rational number (since 82 = 82/1)

So
82 belongs to the set of integers, set of whole numbers, set of natural numbers, and the set of rational numbers

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Find sin0, cos0, tan0

djverab [1.8K]

Answer:

sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5

Step-by-step explanation:

We need to find sine, cosine, and tangent of theta for this triangle.

First, define the different trigonometric functions:

- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)

- cosine is the adjacent side next to the angle divided by the hypotenuse

- tangent is the opposite side to the angle divided by the adjacent side

Now, look at theta (θ):

- the opposite side is marked 12

- the adjacent side is marked 5

- the hypotenuse is marked 13

So:

- sin(θ) = opposite / hypotenuse = 12/13

- cos(θ) = adjacent / hypotenuse = 5/13

- tan(θ) = opposite / adjacent = 12/5

Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.

6 0

3 years ago

Read 2 more answers

Jared has $18 to spend. He buys lunch for $3.87 and a tie for $5.95. Jared buys a magazine with the remaining money. How much do

AleksandrR [38]

3.87 + 5.95 = 9.82
18 - 9.82 = 8.18

8 0

3 years ago

Read 2 more answers

What kind of property is used in the following example?

aivan3 [116]

Commutative Property

7 0

2 years ago

5 lbs equals how many ounces

fredd [130]

5 pounds = 80 ounces

7 0

3 years ago

Estimate the solution to the system of equations 7x−y=7 x+2y=6 i need help

Yanka [14]

Answer:

(4/3, 7/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations of using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x - y = 7

x + 2y = 6

Step 2: Rewrite Systems

Equation: x + 2y = 6

[Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2y

Step 3: Redefine Systems

7x - y = 7

x = 6 - 2y

Step 4: Solve for y

Substitution

Substitute in x: 7(6 - 2y) - y = 7
Distribute 7: 42 - 14y - y = 7
Combine like terms: 42 - 15y = 7
[Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35
[Division Property of Equality] Divide -15 on both sides: y = 7/3

Step 5: Solve for x

Define original equation: x + 2y = 6
Substitute in y: x + 2(7/3) = 6
Multiply: x + 14/3 = 6
[Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3

7 0

3 years ago