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2 years ago

Evaluate: sin (225degree)

1 answer:

7 0

Sin(225)

225 degrees is in the 3rd quadrant. And in the third quadrant only tangent is positive, sin is negative.

For third quadrant, basic angle = 225 - 180 = 45

sin225 = - sin45

sin225 = - sin45 = -0.7071

sin 225° ≈ -0.7071

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Each type of cable has a prescribed bend radius , which is the radius of the maximum arc into which you can loop a cable without

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The answer is true i believe.

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3 years ago

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fai

azamat

Answer:

Probability (Both fail) = 0.001369

Probability (None fails) =0.927369

Probability (at least one fails) = 0.072631

Step-by-step explanation:

given data

Probability (fail) P = 0.037

two alternators is independent

solution

we get here first probability that both will fail will be

Probability (Both fail) = 0.045² ................1

Probability (Both fail) = 0.001369

and

now we get probability that neither will fail

Probability (None fails) = (1-0.037)² ...............2

Probability (None fails) =0.927369

and

now we get probability that at least one fails

Probability (at least one fails) = 1 - Probability (non fails) .................3

Probability (at least one fails) = 1 - 0.927369

Probability (at least one fails) = 0.072631

3 0

2 years ago

There are 200 students in the 8th grade class at Alleghany Middle School. Of these students, 8% play basketball and 14% play soc

sergeinik [125]

Answer:

The probability that a student plays either basketball or soccer is 19% or 0.19.

Step-by-step explanation:

Let A be the event that student play basketball and B be the event that student play soccer.

$P(A)=8\%$

$P(B)=14\%$

It is given that 6 students play on both teams.

$P(A\cap B)=\frac{6}{200}\times 100=3\%$

We have to find the probability that a student plays either basketball or soccer.

$P(A\cup B)=P(A)+P(B)-(A\cap B)$

$P(A\cup B)=8\%+14\%-3\%$

$P(A\cup B)=19\%$

Therefore the probability that a student plays either basketball or soccer is 19% or 0.19.

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3 years ago

Solve the inequality 2(4x-3)>-3(3)+5x

Sholpan [36]

Answer:

$x > -1\\$

Step by step explanation:

$~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1$

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1 year ago

In a sale, a clothes shop reduces its prices by 40%

bazaltina [42]

The original price of the shirt is 22
The price was reduced by 40% = 22*40/100 = 8.8
The price after sale = 22.0 - 8.8 = 13.2

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3 years ago