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natta225 [31]
3 years ago
8

What is Decrease 90 by 1/2

Mathematics
2 answers:
devlian [24]3 years ago
8 0

Answer:

45

Step-by-step explanation:

\frac{1}{2} × 90 = 45

Decrease means to subtract the amount by 45, then

90 - 45 = 45

svetlana [45]3 years ago
6 0
The answer is 45. You just divide 90 by 2 or times 90 by half.
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Ronald is making hats and scarves for charity. He has enough yarn to make 5 hats and 8 scarves. Takes him 12 hrs to knit a hat,
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Constraints are simply the subjects of an objective function.

The inequality that represents the constraint is: 12x + 6y \le 20

Represent the number of hats with x, and the number of scarves with y.

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This time spent is not more than 20 hours.

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Write the trigonometric expression sin(sin−1u−tan−1v) as an algebraic expression in u and v. Assume that the variables u and v r
igomit [66]

Answer:

[u – v√(1 – u²)]/√(1 + v²)

Step-by-step explanation:

Let sin^-1(u) = A, therefore sinA = u.

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Therefore, sinA = u/1 and u is the opposite side to angle A while 1 is the hypotenuse. Draw an acute triangle placing u opposite to angle A and 1 as the hypotenuse. By Pythagoras theorem the adjacent would be √(1 – u²).

By doing this, it means cosA = adjacent/hypotenuse = √(1 – u²)/1 = √(1 – u²)

Also, let tan^-1(v) = B, therefore tanB = v.

We know that tan(theta) = opposite/adjacent

Therefore, tanB = v/1 and v is the opposite side to angle B while 1 is the adjacent. Draw an acute triangle placing v opposite to angle B and 1 as the adjacent. By Pythagoras theorem the hypothenuse would be √(1 + v²).

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Now,

sin[sin^–1(u) – tan^–1(v)] =

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[u/√(1 + v²)] – [v√(1 – u²)/√1 + v²)] =

[u – v√(1 – u²)]/√(1 + v²).

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