Which object has the mass of about one gram

Mathematics

2 answers:

Phantasy [73]3 years ago

3 0

A nickel has the mass of one gram. Objects that take up space and have mass are called matter

Colt1911 [192]3 years ago

3 0

Need options but an option might be a paperclip, where that would be the answer.

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What is the polar form of Negative 9 StartRoot 3 EndRoot + 9 i?

kondor19780726 [428]

Answer:

Step-by-step explanation:

In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where

$r=\sqrt{a^2+b^2}$ and filling in:

$r=\sqrt{(-9\sqrt{3})^2+(9)^2 }$ (notice we do not put the i in there with the 9).

$r=\sqrt{243+81}$ so

r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:

$tan^{-1}(\frac{b}{a})$ so filling that in, we have:

$tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }$ Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is $\frac{5\pi}6}$ , so the polar form of that number is (18, $\frac{5\pi}{6}$ )