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romanna [79]
2 years ago
6

Dennis made a scale drawing of his backyard using the scale 1/4 inch =3 feet the rectangular swimming pool was 2 inches long and

1 inch wide the drawing what was.the area of actual swimming pool
Mathematics
1 answer:
seraphim [82]2 years ago
3 0
(1/4)x = 2 

x = 8 x 3 = 24 feet long

(1/4)x = 1

x = 4 x 3 = 12 feet wide

24ft x 12ft = 288ft^2
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The number of internet paid search ads is increasing as advertisers move away from traditional marketing methods. The equation y
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Answer: In 2005 the amount spend on internet ads = $74.6 billions.

In 2009 spending on internet search ads will reach $102 billion .

Step-by-step explanation:

Given : The number of internet paid search ads is increasing as advertisers move away from traditional marketing methods.

The equation y=6.9x+40.1 can be used to project spending on internet search ads, in billions of dollars, x years after 2000.

To estimate spending on internet ads in 2005.

We need to put x= 5 in the above equation   [∵2005-2000=5]

y=6.9(5)+40.1

y=34.5+40.1

y=74.6

i.e. In 2005 the amount spend on internet ads = $74.6 billions.

Put y= 102 in the given equation, we get

102=6.9x+40.1

61.9=6.9x   [Subtract 40.1 from both sides]

x=\dfrac{61.9}{6.9}=\dfrac{619}{69}=8.97101449275\approx9

And 2000+9=2009 [x is the number of years after 2000]

Hence, in 2009 spending on internet search ads will reach $102 billion .

3 0
2 years ago
Compute the conditional probabilities P(A|B) and P(B|A).
Oksanka [162]

Answer:

Step-by-step explanation:

Good evening ,

P(A|B) = P(A∩B)/P(B)

P(B|A) = P(A∩B)/P(A)

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2 years ago
HELP ASAP!!
Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.


3 0
3 years ago
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sukhopar [10]

Start with

2(x-3)+9=3(x+1)+x

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Subtract 2x from both sides:

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Divide both sides by 2:

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