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xeze [42]
4 years ago
10

Product tan1°.tan2°.tan3º......tan89° is:

Mathematics
1 answer:
Gelneren [198K]4 years ago
4 0

\sin(x) = \cos(90-x)  \frac{sin(x)}{cos(90-x)} = 1\\\prod_{n=1}^{89}\tan(n) = \frac{\sin(1)}{\cos(1)} \cdot \frac{sin(2)}{cos(2)}...\frac{sin(89)}{cos(89)} = 1

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12-3b<9 in solving the inequalities
Dimas [21]
12 - 3b < 9

12 (-12) - 3b < 9 (-12)

-3b < -3

-3b/-3 < -3/-3

(note when dividing a negative number, flip the inequality sign)

b > 1 is your answer

hope this helps
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Ktoś mi pomoże s tą stroną?
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What is the square root of 150 simplified?
timurjin [86]
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Help ASAP !!!!! Which number line represents the solutions to \x + 4) = 2?
Pachacha [2.7K]

Answer:

first option

Step-by-step explanation:

Given

| x + 4 | = 2

The absolute value function always produces a positive value but the expression inside can be positive or negative, thus

x + 4 = 2 ( subtract 4 from both sides )

x = - 2

OR

- (x + 4) = 2, distribute left side

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- x = 6 ( multiply both sides by - 1 )

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Thus solutions are x = - 2, x = - 6

These are represented on the graph by solid blue circles at x = - 2, x = - 6

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6 0
3 years ago
Two bottles and their labels are mathematically similar.
Trava [24]

Answer:

The area of the larger label is 187.5 square centimeters.

Step-by-step explanation:

If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:

x = 96\,cm^{2}\times \frac{1\,L}{0.512\,L}

x = 187.5\,cm^{2}

The area of the larger label is 187.5 square centimeters.

3 0
3 years ago
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