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Gala2k [10]
2 years ago
9

If cos 60° = 1/2 and sin 60º = root 3/2 find cos 240° and sin 240".

Mathematics
1 answer:
Vesnalui [34]2 years ago
7 0

Answer:

cos 240 deg = -1/2   and   sin 240 = - root(3)/2

Step-by-step explanation:

if cos 60° = 1/2 and sin 60º = root 3/2 find cos 240° and sin 240".

we  know that  cos 240 =   cos  (60 + 180) =  - cos 60 =  - 1/2

cosine is negative when the angle is in the 3rd quadrant

sin 240 = sin (60 + 180) =  - root(3) /2

sine is also negative in the 3rd quadrant.

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3 years ago
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In 10 minutes, the top three finishers in a hot dog eating contest consumed a total of 130 hot dogs. the winner, person a, ate 8
Vera_Pavlovna [14]
Let x be how many hot dogs person b ate

therefore, person a ate x+8 hotdogs
and person c ate x-10 hotdogs

they all ate 130 hotdogs in total so
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4 0
2 years ago
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1? On a coordinate plane, a vertical dashed line at (n
Deffense [45]

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis ⇒ 2nd answer

Step-by-step explanation:

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where

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∵ f(x) = a(x - h)² + k

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∴ a = 1 , h = 2 , k = 1

∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)

∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)

∵ Any vertical line is parallel to y-axis

∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and

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The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis

   

Learn more:

You can learn more about quadratic function in brainly.com/question/9390381

#LearnwithBrainly

6 0
3 years ago
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Georgia [21]

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6 0
3 years ago
Your tea her will grade your response 4-8 to ensure you receive proper credit
svlad2 [7]

Answer:

k = 73

Step-by-step explanation:

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Move all terms not containing  C  to the right side of the equation.

Subtract  107  from both sides of the equation.

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