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3 years ago

Find an exact value.

Mathematics

1 answer:

leonid [27]3 years ago

7 0

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

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Round the decimal equivalent of 856 1/6 to the nearest hundredth. What number is in the hundredth place PLEASE HELP

Vika [28.1K]

Answer:

The answer is 856.17.

Step-by-step explanation:

If you made the fraction into a decimal, you would get 856.166666666. If you round it to the nearest hundredth, you would get 856.17.

7 0

3 years ago

How do you solve 3/5×4 1/6?

Helen [10]

$\frac{3}{5}$ × $4 \frac{1}{6}$

First, convert $4\frac{1}{6}$ to an improper fraction. Use this rule: $a \frac{b}{c}$ = $\frac{ac+b}{c}$ / Your problem should look like: $\frac{3}{5}$ × $\frac{4x6+1}{6}$
Second, simplify 4 × 6 to 24. / Your problem should look like: $\frac{3}{5}$ × $\frac{24+1}{6}$
Third, simplify 24 + 1 to 25. / Your problem should look like: $\frac{3}{5}$ × $\frac{25}{6}$
Fourth, apply this rule: $\frac{a}{b}$ × $\frac{c}{d}$ = $\frac{ac}{bd}$ / Your problem should look like: $\frac{3x25}{5x6}$
Fifth, simplify 3 × 25 to 75. / Your problem should look like: $\frac{75}{5x6}$
Sixth, simplify 5 × 6 to 30. / Your problem should look like: $\frac{75}{30}$
Seventh, simplify. / Your problem should look like: $\frac{5}{2}$
Eighth, convert to mixed fraction. / Your problem should look like: $2\frac{1}{2}$

Answer: $2 \frac{1}{2}$

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4 years ago

What is -2(x+1) simplified

IrinaVladis [17]

Answer:

-2x - 2

Step-by-step explanation:

-2(x + 1)