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3 years ago

What does 2π/3 equal and cos2π/3 equal?

Mathematics

1 answer:

777dan777 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

2π/3 radians is equivalent to

2π 180°

-------- * ---------- = 120°

3 π rad

This angle (120°) is 30° past 90°. The 'opposite side' of the triangle formed by this ray of length 1 is √3 and the 'adjacent side' is 1.

adj side -1

cos 120° is in Quadrant II. cos 120° = --------------- = ---------

hyp 2

√3

and sin 120° = --------

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The science club is ordering T-shirts by mail. The shirts cost $12 each and there is a $4 shipping charge. The function C = 4 +

Lisa [10]

The total cost of ordering 10 shirts can be calculated as following:

C = 4 + 12(10)

C = 4 + 120

C = 124

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3 years ago

Paul owes Paula 3535 cents and has a pocket full of 55-cent coins, 1010-cent coins, and 2525-cent coins that he can use to pay h

Ray Of Light [21]

Paul owes paula 35 cents...she has a pocket full of nickels,dimes,and quarters.

largest number of coins would be : 7 nickels (7 coins)
smallest number of coins would be : 1 quarter and 1 dime (2 coins)

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4 years ago

Choose the ratios for sin A and cos A.

Irina18 [472]

Answer: D

Step-by-step explanation: By using SOH for sin A, 'S' being sin, 'O' being opposite side of angle A and 'H' being the hypotenuse which is the longest part of the triangle you would find that 15 is opposite from Sin A and 17 the hypotenuse, 15/17.

For cos A you would use CAH, C= cos, A which is the adjacent of the triangle located next to angel A which is 8, and H= hypotenuse (also note that the hypotenuse never changes even if the angle may be different) CAH would be cos A = 8/17

7 0

3 years ago

a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5

netineya [11]

9514 1404 393

Answer:

85 ones
70 fives
15 tens
2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

a +5b +10c +50d = 685 . . . . . total amount of cash

b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

a = b+c . . . . . . . . . . . as many ones as fives and tens combined

d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

Substituting for 'a', then for 'b', we have ...

(b+c) +5b +10c +50d = 685

6(10 +4c) +11c +50d = 685

60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

35c = 525

c = 15

b = 10 +4c = 10 +4(15) = 70

a = b+c = 70 +15 = 85

The register contained ...

85 ones
70 fives
15 tens
2 fifties

5 0

3 years ago

Read 2 more answers

Select the expression that simplifies to 1 / x^1/8

Troyanec [42]

Answer:

$\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}$

Step-by-step explanation:

$\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}$

4 0

2 years ago