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3 years ago

Enter the correct unit of measurement to complete the conversion

2 answers:

6 0

Hi. Here you go, hope it helps.

10,000 grams = 10 kilograms
1/500,000 liters equal = 2 microliters
1 nanosecond = 1 billionth of a second
1 hectometer = 100 meters
1 milliampere = 0.001 ampere
1 megaton = 1,000,000 tons

Take care,
Diana

lapo4ka [179]3 years ago

4 0

Answer:

As per list given

Step-by-step explanation:

Given are some measurements and we have to convert them into suitable units.

i) 10,000 grams = 10 kilograms

1/500,000 liters equal = 2 microliters

1 nanosecond = 1 billionth of a second

1 hectometer = 100 meters

1 milliampere = 0.001 ampere

1 megaton = 1,000,000 tons

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3 years ago

The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa

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Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs. Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also: a + b + c = Perimeter = 84 units.

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369. Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0. Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

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and then side a has length a = 47 - b = 12 or 35.

Thus, a = 12 and b = 35, and c is given: 37.

Check: Is 12^2 + 35^2 = 37^2 true? Is 144 + 1225 = 1369? YES

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