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Alona [7]
2 years ago
15

Dividing integers -2/15 divided by 11/30

Mathematics
1 answer:
Akimi4 [234]2 years ago
7 0

Answer:

-0.36363636363

Step-by-step explanation:

Divide it.

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Find Sin (BAC+30) 80POINTS
Ann [662]

Answer:

\dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}

Step-by-step explanation:

<u>Trigonometric Identities</u>

\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

  • \cos (\angle BAC)=\dfrac{12}{20}
  • \sin (\angle BAC)=\dfrac{16}{20}

<u>Angles</u>

\sin (30^{\circ})=\dfrac{1}{2}

\cos (30^{\circ})=\dfrac{\sqrt{3}}{2}

Therefore, using the trig identities and ratios:

\begin{aligned}\sin (\angle BAC + 30^{\circ}) & = \sin (\angle BAC) \cos (30^{\circ})+\cos (\angle BAC) \sin (30^{\circ})\\\\& = \dfrac{16}{20} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{12}{20} \cdot \dfrac{1}{2}\\\\& = \dfrac{16}{40}\sqrt{3}+\dfrac{12}{40}\\\\& = \dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}\end{aligned}

3 0
1 year ago
Read 2 more answers
Which one is right can y help me
Vlad [161]

Answer:

What are you trying to find out? Like what do you mean by which one is right?

Step-by-step explanation:

7 0
2 years ago
Determine on the argand diagram (4 + 2i) + (-2 + 3i) - (-1 + 6i)​
Nadusha1986 [10]

Answer:

4+2i-2+3i+1-6i

collect like terms

3-i

6 0
2 years ago
Which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?
Lelu [443]
If the solution exists, y=y....

3x+2=-x/4+1  make everything have a common denominator of 4...

(12x+8)/4=(-x+4)/4 now multiply both sides by 4

12x+8=4-x  add x to both sides

13x+8=4  subtract 8 from both sides

13x=-4  divide both sides by 13

x=-4/13

x≈-0.31  and the only pair in your choices having an x value close to that is:

(-0.3, 1.1)
6 0
3 years ago
Almost sooo close guys just 5 more left sorry if it’s taking long
Andrei [34K]

Answer:

As a decimal its 6.34, If you round up then its 6.35

As a fraction its 400/63

As a mixed number its  6 22/63

5 0
3 years ago
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