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3 years ago

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:

Trigonometric Identities

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

Trigonometric ratios

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

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:

$\cos (\angle BAC)=\dfrac{12}{20}$

$\sin (\angle BAC)=\dfrac{16}{20}$

Angles

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

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

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

Read 2 more answers

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

Alexeev081 [22]

Answer:

Step-by-step explanation:

↘↘↘↙↙↖↗↙↖

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

Read 2 more answers

.What is answer pls help me with this very important question. 9 + 10 (78) =

Korolek [52]

Answer:

789

Step-by-step explanation:

9+10(78)

9+10*78

9+780

789