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Naddika [18.5K]
3 years ago
8

Harold, Clara, and Mark each chose a different lunch from three categories:

Mathematics
1 answer:
Yanka [14]3 years ago
8 0

Answer:

a) Harold

b) Clara

Step-by-step explanation:

Each person has chose a different lunch. Based on this context, it means no one can have the same lunch item.

A explanation)

  • Mark must eat soup since he doesn't eat bread (sandwich) or salads.
  • Clara must eat salad since Mark is eating the soup and Clara doesn't eat sandwiches.
  • Therefore, Harold must eat the only different lunch item; sandwich. Since Harold had the sandwich, he also has the milk.

B explanation)

  • The person who had soup had iced tea; meaning Mark drank Iced Tea.
  • The person who had the sandwich also had the milk; Harold drank milk.
  • The only person missing a drink is Clara, so she ordered mineral water.
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Cot^2x csc^2x + 2 csc^2x –cot^2 = 2
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Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

Which simplifies to:

x = π/2 + πk

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3 years ago
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Tems11 [23]

Answer:

Answer is 3 because

Step-by-step explanation:

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3 years ago
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Translate then Solve for the variable:
Sergeu [11.5K]

The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Translate then Solve for the variable:

The sum of two times a number and 10 is five times the difference between a number and six.

Let the number be x.

Then the equation will be

2x + 10 = 5(x - 6)

Then the value of x will be

2x + 10 = 5x - 60

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More about the linear system link is given below.

brainly.com/question/20379472

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Answer:

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The y intercept it what y equals when x equals 0. So the first value is going to be 0, to represent x. The line hits the y intercept at the point 0, -0.7.

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53 is the answer


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