The number of snail shells used is 45 and the number of shark teeth used is 36 if the ratio of snail shells to shark teeth is 5:4.
According to the question,
We have the following information:
A jeweler makes an ocean-inspired necklace using a total of 72 snail shells and shark teeth. The ratio of snail shells to shark teeth is 5: 4.
Let's take the number of snail shells to be 5x and the number of shark teeth to be 4x.
So, we have the following expression:
5x+4x = 72
9x = 72
x = 72/9
x = 8
Number of snail shells = 5*9 = 45
Number of shark teeth = 4*9 = 36
Hence, the number of snail shells used is 45 and the number of shark teeth used is 36 if the ratio of snail shells to shark teeth is 5:4.
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A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x
- sin² x / sin x = - sin x
- sin x = - sin x ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x ( correct )
D ) 1/sin²x + 1/ cos²x = 1
cos²x + sin² x / sin² x cos² x = 1
1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
Answer: D ) is not an identity.
Answer:
Means to write a product with A as a factor B times
Step-by-step explanation:
