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Bingel [31]
3 years ago
15

Use a half-angle identity to find the exact value of sin pi/8

Mathematics
2 answers:
const2013 [10]3 years ago
7 0

Answer: \frac{\sqrt{2-\sqrt{2} } }{2}

Step-by-step explanation:

B on edge

riadik2000 [5.3K]3 years ago
6 0
Use a half-angle identity to find the exact value of sin pi/8

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B/16 = B-6/4<br><br> Find B:<br><br> Linear Equalities
mamaluj [8]

Answer:

B=8

Step-by-step explanation:

B/4=B-6/4

4B=16B-96

96=12B

B=8

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3 years ago
Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6
shtirl [24]

If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of

<em>x</em> + <em>y</em> = 500

litres, and it contains

0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for <em>y</em> :

<em>y</em> = 500 - <em>x</em>

<em />

Substitute this into the second equation and solve for <em>x</em> :

0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375

0.65<em>x</em> + 450 - 0.90<em>x</em> = 375

75 = 0.25<em>x</em>

<em>x</em> = 300

Solve for <em>y</em> :

<em>y</em> = 500 - 300

<em>y</em> = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

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3 years ago
A rectangular planter can hold 2,304 cubic inches of soil. The dimensions of the base of the planter are 24 inches by 12 inches.
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