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nignag [31]
3 years ago
15

The length of a rectangular screen is 6 feet, and the width of the screen is 8 feet. What is the length of a diagonal of this sc

reen in feet?
Mathematics
1 answer:
dem82 [27]3 years ago
7 0

Answer:

Length of diagonal = 10 feet

Step-by-step explanation:

Length of a rectangular screen = 6 feet

Width of the rectangular screen = 8 feet

Since, all interior angles of a rectangle are 90°,

Triangle formed with two adjacent sides and the diagonal will be a right triangle.

By applying Pythagoras theorem,

Hypotenuse² = (leg 1)² + (leg 2)²

(Diagonal)² = (leg 1)² + (leg 2)²

Diagonal = \sqrt{6^2+8^2}

               = \sqrt{100}

               = 10 feet

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mina [271]

The rate of change between 1990 and 1999 is 15.22

Step-by-step explanation:

The rate of change in this case is given by change in quantity divided by change in time

So,

Rate\ of\ change = \frac{Increase\ in\ money}{Increase\ in\ time}\\=\frac{549-412}{1999-1990}\\=\frac{137}{9}\\=15.22

Hence,

The rate of change between 1990 and 1999 is 15.22

Keywords: Rate of change, median

Learn more about median at:

  • brainly.com/question/10764770
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#LearnwithBrainly

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3 years ago
What is the answer so confused
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Cause a number cube is wack and cant solve nothin bout bowling you gotta use the numbers 6 outta 10
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Which statement is most likely to be true for this distribution?
lozanna [386]

Answer:

B

Step-by-step explanation:

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The following argument claims to prove that the requirement that an equivalence relation be reflexive is redundant. In other wor
sergij07 [2.7K]

Answer:

2

If R is a relation that is transitive and symmetric, then R is reflexive on dom(R)={a∣(∃b)aRb}: if a∈dom(R), then there is b such that aRb, thus bRa by symmetry, so aRa by transitivity.

Note that if R is symmetric, then dom(R)=range(R)={b∣(∃a)aRb}.

Hence, to get an example of a relation R on a set A that is transitive and symmetric but not reflexive (on A), there has to be some a∈A which is not R-related to any b∈A. There are many examples of this:

A={0,1} and R={(0,0)},

not reflexive on A because (1,1)∉R,

A={0,1,2} and R={(0,0),(0,1),(1,0),(1,1)},

not reflexive on A because (2,2)∉R.

Step-by-step explanation:

6 0
3 years ago
What is the probability of drawing the compliment of a king or a
inna [77]

Answer:

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

n( E_{1} ) = 4 _{C_{1} }  = 4

Let E₂ be the event of the card drawn being a queen

n( E_{2} ) = 4 _{C_{1} }  = 4

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

<u><em>step(ii):-</em></u>

The probability  of drawing of a king or a  queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

                 = \frac{4}{52} + \frac{4}{52}

P( E₁ U E₂ ) = \frac{8}{52}

<u><em>step(iii):-</em></u>

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards

P(E_{1}UE_{2})  ^{-} = 1- P(E_{1} U E_{2} )

P(E_{1}UE_{2})  ^{-} = 1- \frac{8}{52}

P(E_{1}UE_{2})  ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

5 0
3 years ago
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