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gtnhenbr [62]
2 years ago
6

What is the value of w? A. 7 B. 3.5 C. 7square root of three D. 14

Mathematics
1 answer:
Anarel [89]2 years ago
8 0

Answer:

<h3>D. 14.</h3>

\sf{\cos(30)  =  \frac{7 \sqrt{3} }{w} } \\  \sf{ \frac{ \sqrt{3} }{2}  =  \frac{7 \sqrt{3} }{w} } \\  \sf{w =  \frac{7 \sqrt{3} \times 2 }{ \sqrt{3} }  = 14}

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Step-by-step explanation:

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The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

1/3 * (1/2 - 3 3/8) = -23/

24

≅ -0.9583333

Spelled result in words is minus twenty-three twenty-fourths.

How do you solve fractions step by step?

Conversion a mixed number 3 3/

8

to a improper fraction: 3 3/8 = 3 3/

8

= 3 · 8 + 3/

8

= 24 + 3/

8

= 27/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 8.

Three and three eighths is twenty-seven eighths

Subtract: 1/

2

- 27/

8

= 1 · 4/

2 · 4

- 27/

8

= 4/

8

- 27/

8

= 4 - 27/

8

= -23/

8

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus twenty-seven eighths = minus twenty-three eighths.

Multiple: 1/

3

* the result of step No. 2 = 1/

3

* (-23/

8

) = 1 · (-23)/

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= -23/

24

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

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