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2 years ago

Will give brainliest!!

Mathematics

2 answers:

rodikova [14]2 years ago

4 0

The answer is option C) 7.688 * 10^8.

It's simple. Just add 5 and 3. Then you will get 8. And then multiply 3.844 * 2 . You will get 7.688. After that write this down : 7.688 * 10^8.

Hope this answer will help you a lot. If it does then mark my answer as the brainliest please:)!

MakcuM [25]2 years ago

4 0

Answer: Option C.

Step-by-step explanation:

Average distance from Earth to the Moon (d1) = 3.844*10^5 km.

Average distance from Jupiter to the Sun (d2) = 2*10^3 times the average distance from Earth to the Moon (d1).

Which is same as

d2 = 2*10^3 × d1

d2 = 2*10^3 × 3.844*10^5

d2 = 2*3.844*10^3*10^5

d2 = 7.688*10^(3+5)

d2 = 7.688*10^8

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Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree.

Nimfa-mama [501]

Answer:

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First you must calculate the module or the magnitude of both vectors

The module of u is:

$|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544$

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$|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544$

Now we calculate the scalar product between both vectors

$u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0$

Finally we know that the scalar product of two vectors is equal to:

$u*v = |u||v|*cos(\theta)$

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$0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°$

the answer is 90°

Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

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