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mezya [45]
3 years ago
10

2)Katherine is organizing a camping trip. The cost of renting a cabin is

Mathematics
1 answer:
julsineya [31]3 years ago
4 0

Answer:

400 + 6x

Step-by-step explanation:

$400 cabin cost is fixed and doesn't change.

Food cost changes as there are more people so we can write it as 6x

Total cost is 400 + 6x

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Is the triangle obtuse, acute, equilateral or right?
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Answer:

  obtuse

Step-by-step explanation:

The law of cosines tells you ...

  b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

  b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

  b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

  \cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

  \cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

4 0
3 years ago
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Which number below best represents a credit of $17.16?
PIT_PIT [208]
B. 17.16 represents a credit of $17.16; "credits" mean that you're receiving something, so it's added. A is incorrect because it shows the money being taken away and that isn't what a credit does. C and D aren't even the same amount of money in the question, so they aren't your answer either.
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kykrilka [37]

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C

Step-by-step explanation:

To solve, use inverse operations:

(x+6)^2=49\\\sqrt{(x+6)^2} =\sqrt{49} \\x+6=+/-7

Now we solve for both +/- 7.

x+6=7

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3 years ago
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7nadin3 [17]

Answer:

13

Step-by-step explanation:

a pair=2

so 25/each pair of towns

25/2=12+1=13

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