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Sidana [21]
3 years ago
11

an engineer estimates that 30% of gasoline is used efficiently by a car. how many gallons,out of 20 gallons, are used efficientl

y?
Mathematics
1 answer:
juin [17]3 years ago
3 0

We need to find 30% of 20 gallons.

1) We can write a proportion

20 gallons ---- 100%

x gallons --------30%

x = 20*30/100 = 6 gallons

2) Or we can write 30% as decimal.

30% = 30/100 = 0.3

0.3 of 20 = 0.3*20 =6 gallons

Answer 6 gallons are used efficiently.

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Prove that<br>{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)
USPshnik [31]

First, expand the terms inside the bracket you will get

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16 \tan {}^{2} (x)  \sin {}^{2} (x)  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x) (1 -  \cos {}^{2} (x) ) = 16 (\tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

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16( \tan {}^{2} (x)  -  \sin {}^{2} (x) ) = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

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5 0
2 years ago
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Answer:

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The mode is 4

Step-by-step explanation:

To find median you

1. Arrange your numbers in numerical order.

2. Count how many numbers you have.

3. If you have an odd number, divide by 2 and round up to get the position of the median number.

4.If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

To find mode you put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode.  To find range you first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

4 0
3 years ago
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poizon [28]

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I believe it’s B I’m not too sure
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