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QveST [7]
3 years ago
5

What is the probability that Someone in your class will have a pet alligator?

Mathematics
1 answer:
wel3 years ago
5 0
Answer:


Zero




Thank you answer above .
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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
2 years ago
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In science class, Sarah calculates the mass of a planet to be 918,000,000,000,000,000,000 kg. What is the mass of the planet in
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Answer:

Step-by-step explanation:

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7 0
3 years ago
Round 492.3069 to the nearest thousandth
Llana [10]
The answer is 492.307
The number after the thousandths is 9 - greater than 5 - so we round 6 up to 7.
4 0
3 years ago
Jen has 2 meters of taffy. She wants to give each of her 3 best friends an equal amount of taffy. How many centimeters of taffy
Katarina [22]

first you'll need to convert the meters to centimeters. 2 meters = 200 centimeters. then you divide 200 by 3 which is 6 2/3 centimeters for each person.

7 0
4 years ago
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.What is answer pls help me with this very important question. <br><br> 9 + 10 (78) =
Korolek [52]

Answer:

789

Step-by-step explanation:

9+10(78)

9+10*78

9+780

789

6 0
3 years ago
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