Answer:
The width of rectangle is 
or 
Step-by-step explanation:
we know that
The perimeter of rectangle is equal to
where
L is the length of rectangle
W is the width of rectangle
we have
substitute
solve for x
simplify
<em>Find the width of rectangle</em>
substitute the value of x
Convert to mixed number
Answer:
The trigonometric form of the complex number is 12(cos 120° + i sin 120°)
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = -6 + i 6√3
∴ a = -6 and b = 6√3
∵ r² = a² + b²
∴ r² = (-6)² + (6√3)² = 36 + 108 = 144
∴ r = √144 = 12
∵ tan Ф° = b/a
∴ tan Ф = 6√3/-6 = -√3
∵ The x-coordinate of the point is negative
∵ The y-coordinate of the point is positive
∴ The point lies on the 2nd quadrant
* The measure of the angle in the 2nd quadrant is 180 - α, where
α is an acute angle
∵ tan α = √3
∴ α = tan^-1 √3 = 60°
∴ Ф = 180° - 60° = 120°
∴ z = 12(cos 120° + i sin 120°)
* The trigonometric form of the complex number is
12(cos 120° + i sin 120°)
Answer:
0.07$
Step-by-step explanation:
so
3 divided by 45
$0.07
Assume you are working with a standard deck of 52 cards. There are 13 cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and
NemiM [27]
Answer:
Step-by-step explanation:
Total number of cards
Total cards of 
Total cards of Queen
Total number of elements in 
Answer:
sfergtyujbvcdrtyuj
Step-by-step explanation:
