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Ostrovityanka [42]
2 years ago
14

Rectangle lmno is rotated 90 degrees clockwise around the origin to create l’m’n’o which statement best describes the relationsh

ip between points n and n’?
they are equidistant from origin


they are midpoints of line on and line o’n’


they are equidistant from point o


they are midpoints of line ln and line l’n’
Mathematics
1 answer:
vova2212 [387]2 years ago
4 0

Answer:

The correct option is A: they are equidistant from origin

Step-by-step explanation:

Since the rotation is performed around the fixed axis on its origin, there will not be any change to the distances between the origin and the point n or n'. The size of the rectangle has neither increased or decreased so, it cannot be possible that the distance between the origin and the point n could change after the object is rotated.

Hope that answers the question, have a great day!

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Answer:

its choice b

Step-by-step explanation:

because it is

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An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the A
Ksivusya [100]

Answer:

0.7 ; 0.65 ; 0.115

Step-by-step explanation:

Step-by-step explanation:

P(A) = 0.5 ; P(B) = 0.3

P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5

1.)

Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.

Probability that European project isn't successful;

P(B') = 1 - P(B) = 1 - 0.3 = 0.7

2.)

Probability that atleast one of the 2 projects is successful :

P(AUB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15

P(AUB) = 0.5 + 0.3 - 0.15 = 0.65

3.)

Probability that only the Asian project is successful, given that atleast one of the two projects is successful :

[P(A) - P(AnB)] ÷ P(AuB)

[0.5 * 0.15] ÷ 0.65

= 0.075 ÷ 0.65

= 0.1153846

= 0.115

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2 years ago
Question 1/10
MrRissso [65]
I pound of carrots would cost 13 pounds
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owen and needed to get his computer fixed he took it to the repair store the technician at the store worked on the computer for
meriva

To figure out this problem, let's set up an equation first to make it easier:

702.50 = 5.5x + 70

x = amount charged per hour

702.50 = 5.5x + 70

-70                   -70

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

632.5 = 5.5x

/5.5       /5.5

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

115   =   x

Owen was charged $115 per hour

7 0
1 year ago
The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option
postnew [5]

Answer:

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

Step-by-step explanation:

The correct question in the attached figure

we have the function

f(x)=5(\frac{1}{5})^{x}

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

f(−x) = f(x).

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

f(x)=5(\frac{1}{5})^{-x}

An equivalent form will be

f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}

therefore

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

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2 years ago
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