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diamong [38]
3 years ago
5

The price of a gallon of unleaded gas was $2.83 yesterday. Today, the price fell to $2.78 . Find the percentage decrease. Round

your answer to the nearest tenth of a percent.
Mathematics
1 answer:
avanturin [10]3 years ago
8 0
2.105% is the answer!
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Answer: 80%

Step-by-step explanation:

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PLEASE HELP ME I REALLY NEED HELP
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Answer:

2226

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The number of lines of reflection about which the combined figure can reflect onto itself is ____
Fiesta28 [93]
A square(hope it helps)
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HELP ME OUT HERE! PLS TELL ME HOW U GOT THE ANSWER TOO!
IgorC [24]

Answer: Choice C

\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}

=========================================================

Explanation:

There are four marked points on the line.

Each point is of the form (x,y)

  • The first or left most point is (0,1)
  • The second point is (2,2)
  • The third is (4,3)
  • The fourth is (6,4)

Each of these points is then listed in the table format as shown above.

There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).

Extra side notes:

  • The slope of this line is m = 1/2 = 0.5
  • The y intercept is 1 located at (0,1)
  • The equation of this line is y = 0.5x+1
8 0
2 years ago
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Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )
Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0
2 years ago
Read 2 more answers
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