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Alika [10]
3 years ago
14

What is slope? Check all that apply.

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

B, E, and F maybe

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Find Sin (BAC+30) 80POINTS
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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}

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2 years ago
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the sum of three numbers is 63. The first number is twice the second number, and the third number is three times the first numbe
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Answer:

Step-by-step explanation:

2x+x+3(2x)=63

3x+6x=63

9x=63

9x/9=63/9

X=7

2x=14

3(2x)=42

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3 years ago
The sum of 8 and x is less than 23?
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Answer:  no not less than 23

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In a recent year, 33.6% of all registered doctors were female. If there were 44,500 female registered doctors that year, what wa
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Answer:

132,440

Step-by-step explanation:

In order to find out the total number of doctors, we must divide 44,500 by 33.6%. This will give you the total number of doctors from this specific data set.  

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3 years ago
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