7/12+1/3 show your work and how you got your answer

1 answer:

5 0

Answer:

11/12

Step-by-step explanation:

find the lcm of 12 and 3 which is 12.

find a common factor in 12 and 3 and use those factors to multiply with their numerators.

7 * 1 and 1*4 =11

while the denominator or the lcm is 12

thus 11/12

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Zigmanuir [339]

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4 years ago

denpristay [2]

Answer:

$\displaystyle x \approx 38.2 ^{\circ}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Pre-Calculus

Law of Sines: $\displaystyle \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}$

Step-by-step explanation:

Step 1: Identify

A = 27°, a = 11

B = x°, b = 15

Step 2: Solve for x

Substitute [LOS]: $\displaystyle \frac{sin(27^{\circ})}{11} =\frac{sin(x^{\circ})}{15}$
Cross-multiply: $\displaystyle 11sin(x^{\circ}) = 15sin(27^{\circ})$
Isolate x term: $\displaystyle sin(x^{\circ}) = \frac{15sin(27^{\circ})}{11}$
Isolate x: $\displaystyle x = sin^{-1}(\frac{15sin(27)}{11})$
Evaluate: $\displaystyle x = 38.2488 ^{\circ}$
Round: $\displaystyle x \approx 38.2 ^{\circ}$