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Tpy6a [65]
3 years ago
15

Susan's cell phone plan allows her to use 950 minutes per month with no additional charge she has 188 minutes left for this mont

h how many minutes has she already used this month
Mathematics
1 answer:
arsen [322]3 years ago
6 0
950 - 188 = 762
Susan used 762 minutes in this month already.
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Which octant contains the image of point A( 1, -3, 4) after a reflection about the xz - plane?
ANTONII [103]

Hi,

Concept: The given problem is based on 3 Dimensional Geometry.

Consider three axes in defined space be x, y & z in their positive directions then - x , -y & -z be their negative axes.

The coordinate of given point A(x1, y1, z1) = (1, -3, 4)

If we take the reflection of point A about xz - plane x and z coordinates will remain same and y-coordinate will give its reflection. It means the value of y-coordinate will be changed which will be +ve 3.

Hence, the reflection of A(1, -3, 4) will be A'(x2, y2,z2= (1, 3, 4).

7 0
3 years ago
Could someone please help me with this?
ella [17]
I'm not really sure, but I think the answer is D
7 0
3 years ago
Solve: 3a - 2.4 = 5.1 a = _____
Delicious77 [7]

Answer:

a=2.5

Step-by-step explanation:

3a-2.4=5.1   Add the like terms ( plus 2.4 cancels out -2.4)

   +2.4  +2.4

3a=7.5  Now divide by 3

/3     /3

a=2.5

7 0
2 years ago
Jamie has saved $42 of her allowance money to buy books. If she buys 5 books at d dollars per book, she will have
Musya8 [376]

Answer:

She has 24,50$ left

Step-by-step explanation:

3,50*5 = 17,50

42$ - 17,50$ = 24,50$

4 0
2 years ago
Write the complex number in polar form:
emmasim [6.3K]

9514 1404 393

Answer:

  2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

  √((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

  arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

  (2√30)∠-120°

_____

<em>Additional comments</em>

Any of a number of other formats can be used, including ...

  (2√30)cis(-120°)

  (2√30; -120°)

  (2√30; -2π/3)

  2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

__

At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

6 0
3 years ago
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