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zzz [600]
3 years ago
6

What are the correct answers? ​

Mathematics
1 answer:
VikaD [51]3 years ago
3 0
7 12468643346777433578
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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
Read 2 more answers
Find c. Determine it from the choices below.
Kobotan [32]

Answer:

12 centimeters

Step-by-step explanation:

The triangle is half of an equilateral one. So the hypotenuse is double the minor leg

12 centimetres

3 0
3 years ago
What measure of center should Mr. Malloy use for Amo and for Javier for the best possible grade?
9966 [12]
The answer to this question is the first item in the choices which is "The teacher should use the mean for both Amo and Javier" when computing and comparing their grades. The mean is the average grade while the median is the center of the grade. It would be wrong to apply median in computing their grades and it would be also wrong when the use two different methods when computing and comparing their grades.  
7 0
3 years ago
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The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers. First complete the
patriot [66]
Just use photo math it will work
4 0
3 years ago
Which is the graph of y = ⌊x⌋ – 2?
Alexandra [31]

Answer:

The third graph

Step-by-step explanation:

The Greatest Integer function (also called "floor" function. is in fact the one depicted on your first graph on the left. It indicates the integer part of the real number x.

So, if one translates such function two units down , as requested by the subtraction of 2 of the function y the problem shows, one ends up with the third graph depicted on the page.

5 0
3 years ago
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