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4 years ago

Why is 4/12 equal to 1/3

Mathematics

1 answer:

I am Lyosha [343]4 years ago

6 0

because if u simplify 4 into 12 that equals 1/3 so that is why they are equal hope this helps if u need help ask me

Step-by-step explanation:

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PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

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

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

3 years ago

Given the equation y=12x, x representing number of hours worked, y representing amount of money earned, how much would John earn

JulijaS [17]

9514 1404 393

Answer:

Step-by-step explanation:

Substitute 6 for x in the equation and do the arithmetic.

y = 12x

y = 12·6 = 72

John earns 72 money units in 6 hours.

8 0

3 years ago

the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?

MrMuchimi

$n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6$

The positive integer is 6.
The consecutive integers are 6 and 7.

8 0

3 years ago

A = 32°, a = 19, b = 14 solve the triangle using the law of cos

Lesechka [4]

Here is your solution.. hope it helps

6 0

3 years ago

Read 2 more answers

Your home company charges you by min last month you used 125 minutes and your bill was $37.50. This month you used 175 minutes h

emmasim [6.3K]

Let's dividey y by x, so y in this case would be 37.5 and x would be 125 minutes.
37.5/125= .3
So the rate is .3, let's now find the charge at 175 minutes.
175×.3=52.5
So it should've cost $52.50 this month.

6 0

3 years ago

Why is 4/12 equal to 1/3​

Why is 4/12 equal to 1/3