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2 years ago

Find the exact values of cos (3pi/4radians) and sin (3pi/4 Radians)

Mathematics

2 answers:

-BARSIC- [3]2 years ago

8 0

Cos (3π/4) can be written as,
cos (π-π/4) = -cosπ/4 = -1/√2

similarly sin3π/4=sin(π-π/4) = sin π/4 = 1/√2

patriot [66]2 years ago

7 0

If you are doing on apex the answer is √2/2

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storchak [24]

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Step-by-step explanation:

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3 years ago

one tamk of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of

Zarrin [17]

Answer:

20 gallons were used from the tank with the octane rating of 80.

Step-by-step explanation:

Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.

To find : How many gallons should be used from the tank with the octane rating of 80?

Solution : Let x be the volume of gas whose octane rating is 140 and

y be the volume of gas whose octane rating is 80.

Then, we form the equation as:

(1) $x\times140 + y\times80 = 60\times120$

$140x+80y = 7200$

or $7x+4y = 360$ .........[3]

(2) $x + y = 60$

Now multiply equation (2) by 4

$4x + 4y = 240$ ...........[4]

Subtract (4) from (3)

$7x+4y-4x-4y=360-240$

$3x=120$

$x=\frac{120}{3}$

$x=40$

Put x in equation [4] we get,

$4(40) + 4y = 240$

$160 + 4y = 240$

$4y = 80$

$y=\frac{80}{4}$

$y=20$

Therefore, x=40 and y=20

So, 20 gallons were used from the tank with the octane rating of 80.

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3 years ago

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vampirchik [111]

Answer:

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Step-by-step explanation:

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3 years ago

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FrozenT [24]

Answer: x= 5/3

Step-by-step explanation: hope this helps!

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2 years ago

Select the exclusion that fits best with this problem. 13x^6/51x^4

Damm [24]

ANSWER

$x \ne0$

EXPLANATION

The given problem is

$\frac{13 {x}^{6} }{ 51 {x}^{4} }$

This is defined if and only if

$x \ne0$

Even the given expression can be simplified to obtain:

$\frac{13 {x}^{2} }{ 51}$

The exclusion is

$x \ne0$

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3 years ago