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3 years ago

Write the number 1/10,000,000 as a power of 10 using a negative exponents

Mathematics

1 answer:

allochka39001 [22]3 years ago

8 0

First, convert into a decimal:

1/10,000,000 = 0.00000001

Next, convert to "the number with a power of 10 using a negative exponent. Move the decimal point to the first <em>number that is not 0</em> (sorry, there is a term for it, but i can't remember it right now, but it is not important to solving the answer)

0.000001 = 1 * 10^-7

1 * 10^-7 is your answer

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Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

$diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)$

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So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

$a / sin(A) = b/sin(B)$

$5 / sin(A) = diagonal / sin(130)$

$sin(A) = 5 * sin(130) / 7.3$

$sin(A) = 0.5247$

$A = 31.65\°$

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

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