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SCORPION-xisa [38]
3 years ago
9

A boater travels 532 miles. Assuming the boat averages 6.3 miles per gallon, how many gallons of gasoline(to the nearest then of

gallon) were used? plz show work
Mathematics
1 answer:
Readme [11.4K]3 years ago
3 0

Answer:

84.4 gallons to the nearest tenth.

Step-by-step explanation:

Average usage = miles travelled  / gallons used  so:

6.3 = 532 / gallons used

Gallons used  =   532 / 6.3

= 84.44.

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A since if we multiply 4 × 4x, we get 16x, and 4 × 4, we get 16, which cancels with the other 16x - 16 on the left side. That makes sure that any x we choose will cancel out in the end.

Step-by-step explanation:

1. 16x - 16 = 4(4x-4)

2. 16x - 16 = 16x - 16

3. 0 = 0

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2 years ago
Find the value of x in the isoscleles triangle sqrt45 and altitude 3​
Alisiya [41]

Answer:

c.\hspace{3}x=12

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

x=2a

And we can find a easily using pythagorean theorem:

(\sqrt{45} )^{2} =3^{2} +a^{2}

Solving for a:

a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\

a^{2} =36\\\\a=\sqrt{36} \\\\a=6

Therefore:

x=2a\\\\x=2(6)\\\\x=12

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