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3 years ago

The angle between 0 and 2π in radians that is coterminal with the angle 41/6π in radians is?

Mathematics

1 answer:

Inessa05 [86]3 years ago

3 0

Answer:

5π/6

Step-by-step explanation:

Subtract multiples of 2π until you find the angle in the desired range.

41π/6 -36π/6 = 5π/6

The angle 5π/6 is co-terminal with 41π/6.

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5c +2d=13<br> 2c + 4d = -6

Margarita [4]

Answer:

combine like terms and u'll have ur answer

Step-by-step explanation:

4 0

3 years ago

A quantity and its 2/3 are added together and from thesum 1/3 of the sum is subtracted, and 10 remains.What is the quantity?

musickatia [10]

Answer:

$14\frac{1}{3}$

Step-by-step explanation:

Let's write this out as an equation. Let the unknown quantity be x:

$x+\frac{2}{3} - \frac{1}{3} (x+\frac{2}{3}) = 10\\\\3x+2-x -\frac{2}{3} = 30\\\\9x+6-3x-2=90\\\\6x= 86\\\\x = \frac{86}{6} =\frac{43}{3} =14\frac{1}{3} \\$

6 0

3 years ago

Read 2 more answers

Factor Completely.<br> 12k^2-16k-60

faltersainse [42]

Answer:

4(k - 3)(3k + 5)

Step-by-step explanation:

Given

12k² - 16k - 60 ← factor out 4 from each term

= 4(3k² - 4k - 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term

product = 3 × - 15 = - 45 , sum = - 4

Factors are - 9 and + 5

Use these factors to split the middle term

3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms

= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)

= (k - 3)(3k + 5)

Hence

12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form

8 0

3 years ago

Read 2 more answers

a molecule is measured and the width is 3x10-6 cm. how long will a string of 225 similar molecule be? give your answer in scient

mixer [17]

The length of the molecule is $6.75*10^-^4cm$ in scientific notation.

Data;

Width of molecule = 3*10^-6 cm
Number of molecules = 225

<h3>Length of the molecule</h3>

This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.

This becomes;

$3*10^-^6*225 = 0.000675cm = 6.75*10^-^4cm$