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Karolina [17]
3 years ago
9

Solve the equation in the interval [0, 2π] 2 + Tanθ = 1

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

{3π/4 , 7π/4}

Step-by-step explanation:

2 + Tanθ = 1

tan θ = 1 -2

Tanθ = -1

θ = 3π/4 and 7π/4

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Judy’s brother Sam has a collection of 96 comic books what are the 10 where is Sam could divide his comic books into equal group
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We have been given that Judy’s brother Sam has a collection of 96 comic books. We have been asked to find the 10 ways Sam could divide his comic books into equal groups.

This can be done as follows:

96 can be written as 2\times 48=48\times 2=96. Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.

Likewise, 96 can also be written as 3\times 32=32\times 3=96. Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.

Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a <u>total of 10 ways</u> in which Sam can divide his comic books into equal groups.

Our question has been answered.

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3 years ago
1) Which pair of angles are congruent?
gavmur [86]

Answer:The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Step-by-step explanation:

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3 years ago
A coffee blender mixes two types of coffee. Type A costs $13 per kg and type B costs
sammy [17]
Answer and working out attached. Hope this helps

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3 years ago
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Darya [45]
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Example of a real world problem:
Chris is starting a handmade card business. In the beginning, he starts off with 15 cards and makes 4 new cards every week.

The variable (x) would represent the number of weeks that passed.

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Sam decides to start saving up money to buy a video game. She starts off with 15 dollars and gets an allowance of 4 dollars every day.

The variable (x) would represent the number of days that pass.

To come up with your own equation, most times, x represents a unit of time. The zero value (the number that isn’t being multiplied by a variable) in the equation always represents your starting value, and the coefficient of the variable represents how much of something is being gained or added after a duration of time.

I hope this helps!
8 0
3 years ago
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