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vlada-n [284]
3 years ago
6

Compare and contrast converting customary units of length and converting metric units of length.

Mathematics
1 answer:
Ainat [17]3 years ago
4 0

Explanation:

The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10. This means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).

For example, ...

  1 cm = 10 mm

  1 dm = 10 cm

  1 m = 10 dm = 100 cm = 1000 mm

  1 km = 1000 m

The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.

__

On the other hand, "customary" US units have relationships that are not powers of 10:

  1 ft = 12 in

  1 yd = 3 ft

  1 rod = 5.5 yd

  1 chain = 4 rods

  1 furlong = 10 chains = 220 yards

  1 mile = 8 furlongs = 1760 yards = 5280 feet

(Inches, feet, and miles are in common use; yards perhaps less so. Furlongs are rarely seen outside of horse racing, or the whimsical speed unit "furlongs per fortnight"—11/28 inch per minute.)

So, conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.

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!!Please Help!! Find the value of z to the nearest tenth.
serg [7]

Answer:

x = 14\sqrt{2}

y = 14

z= 14\sqrt{3}

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14\sqrt{2}

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14\sqrt{3} using either Pythagorean Theorem or special right triangle properties for 30-60-90.

7 0
3 years ago
I need help with 1 2 3
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A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile. How much
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Answer:

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Step-by-step explanation:

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile.

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Two increased by three equals the quotient of ten and two
RideAnS [48]
5 because increased by means to add 2+3
and quotient means the answer to a division problem 10/2 so ur answer is 5
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Answer:

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Step-by-step explanation:

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