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Phantasy [73]
3 years ago
13

HELP PLEASE

Mathematics
2 answers:
Reika [66]3 years ago
6 0

Answer:

purse A because it's cheaper though it has less days it's still cheaper

svp [43]3 years ago
3 0

Answer:

Purse A would be the best option.

Step-by-step explanation:

Purse A is the best option because if the genie were to choose a low day you would have more money and even if it is a high day its better to play it safe.

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Answer:

\huge\boxed{\sin\alpha=-\dfrac{16}{65},\ \tan\alpha=-\dfrac{16}{63}}\\\\or\\\\\huge\boxed{\sin\alpha=\dfrac{16}{65},\ \tan\alpha=\dfrac{16}{63}}

Step-by-step explanation:

\cos\alpha=\dfrac{63}{65}\\\\\text{use}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\alpha+\left(\dfrac{63}{65}\right)^2=1\\\\\sin^2\alpha+\dfrac{3969}{4225}=1\qquad\text{subtract}\ \dfrac{3969}{4225}\ \text{from both sides}\\\\\sin^2\alpha=\dfrac{4225}{4225}-\dfrac{3969}{4225}\\\\\sin^2\alpha=\dfrac{256}{4225}\to\sin\alpha=\pm\sqrt{\dfrac{256}{4225}}\\\\\sin\alpha=\pm\dfrac{\sqrt{256}}{\sqrt{4225}}\\\\\sin\alpha=\pm\dfrac{16}{65}

\text{use}\ \tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}\\\\\text{substitute:}\\\\\tan\alpha=\dfrac{\pm\frac{16}{65}}{\frac{63}{65}}=\pm\dfrac{16}{65}\cdot\dfrac{65}{63}=\pm\dfrac{16}{63}

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1. If we choose one of the vertices, we can draw <u>n-3</u> diagonals.

2. These diagonals form <u>n-2</u> triangles.

3. The sum of the interior angle measures of a triangle is <u>180</u> degrees.

4. <u>n – 2</u> triangles would have an interior angle measure sum of <u>180</u> degrees.

5. Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.

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