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Inessa [10]
3 years ago
9

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational numbe

r?
A. √(11)*√(11)
B. 4.7813265...*√(5)
C. π*3.785492...
D√(21)*π
Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0

Answer:

A. √11 x √11

Step-by-step explanation:

Irrational numbers are decimals that are non-terminating (don't stop) and non-repeating (don't have a pattern).  So, if you were to multiply a non-terminating and non-repeating decimal by another non-terminating and non-repeating decimal, your answer will still be an irrational, non-terminating and non-repeating decimal that has no pattern and keeps going on and on without end.  Choices B, C and D are all irrational decimals multiplied by a different irrational decimal so the answers would all be irrational.  However, since A has the √11 x √11, we can simply this to (√11)² which is the same as 11, which is a rational number because it is an integer.  

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Kerry worked 46 hours last week. His hourly rate is $9.60. He has the following deductions taken from his pay: federal income ta
KiRa [710]

Answer:

  $341.96

Step-by-step explanation:

Assuming Kerry was not paid at an overtime rate for extra hours (despite his union affiliation), his gross pay is ...

  (46 h)×($9.60/h) = $441.60

His percentage deductions add to 17.65%, so will have a dollar amount of ...

  0.1765×$441.60 = $77.94

The dollar amount deductions total $21.70 in addition to his percentage deductions, so Kerry's net pay is ...

  $441.60 -77.94 -21.70 = $341.96

4 0
3 years ago
The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. T
Airida [17]

Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

6 0
3 years ago
The table represents some points on the graph of an exponential function Which function represents the Same relationship? ​
Rama09 [41]

Answer:

the answer is a b and d

Step-by-step explanation:

I took the quiz

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3 years ago
Solve the systems by the addition method 2x + y = - 1x - 2y = - 4
inna [77]

Answer:

x = -6/5

y =7/5

Step-by-step explanation:

2x + y = - 1

x - 2y = - 4

Multiply the first equation by 2 so we can eliminate y

2(2x + y = - 1)

4x + 2y = -2

Add this to the second equation

4x + 2y = -2

x - 2y = - 4

---------------------

5x + 0y = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Multiply the second equation by -2 so we can eliminate x

-2(x - 2y = - 4)

-2x+4y = 8

Add this to the first equation

2x + y = - 1

-2x+4y = 8

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0x + 5y = 7

Divide by 5

5y/5 = 7/5

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6 0
3 years ago
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
GarryVolchara [31]

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
  • Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

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6 0
2 years ago
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