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nikitadnepr [17]
3 years ago
12

Help please............................

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Step-by-step explanation:

csc x / (cot x + tan x)

Write in terms of sine and cosine.

(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]

Multiply top and bottom by sin x.

1 / [cos x + (sin²x / cos x)]

Multiply top and bottom by cos x.

cos x / (cos²x + sin²x)

Use Pythagorean identity.

cos x / 1

cos x

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if a florist is making identical bouquets using 72 red roses 60 pink roses and 48 yellow roses what is the greatest number of bo
xeze [42]

The <em>correct answer</em> is:

12 bouquets, each having 6 red roses, 5 pink roses, and 4 yellow roses.

Explanation:

To find the number of bouquets we can make, we find the GCF (greatest common factor) of the three numbers, 72, 60 and 48. To do this, we find the prime factorization of each:

72=6\times 12 \\6=2\times 3 \\12=4\times 3 \\4=2\times 2 \\72=2\times2\times2\times3\times3 \\ \\60=6\times 10 \\6=2\times 3 \\10=2\times 5 \\60=2\times2\times3\times5 \\ \\48=12\times4 \\12=4\times3 \\4=2\times 2 \\4=2\times 2 \\48=2\times2\times2\times2\times3

We look for factors that all 3 numbers have in common. These factors are 2, 2 and 3; 2(2)(3)=12, so we can make 12 bouquets.

72/12 = 6; this means we use 6 red roses in each bouquet.

60/12 = 5; this means we use 5 pink roses in each bouquet.

48/12 = 4; this means we use 4 yellow roses in each bouquet.

8 0
2 years ago
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If g(x) = 2x - 5 and h(x) = 3x + 7, then g(h(x)) = ?
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Step-by-step explanation:

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Ok so this is a hard question but I believe the answer is y = (10/7)x

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Your answer is 116

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