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Snezhnost [94]
3 years ago
15

Which expression can be used to find m pls help

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

∠ U = 22.62°

Step-by-step explanation:

We can use the trigonometric expression to find ∠U by using the ratio:

sin(θ) = opposite/ hypotenuse

=> sin ∠U = 7.5/ 19.5

=> ∠ U = sin^{-1}( 7.5/ 19.5)

∴ ∠ U = 22.619° ≈ 22.62°

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Consider the 1-to10^19 scale on which the disk of the Milky Way Galaxy fits on a football field. On this scale, how far is it fr
bezimeni [28]

Beautiful !  What a great exercise !  I won't even check to verify
that 1:10⁻¹⁹ is an appropriate scale to map the Milky Way onto a
football field.  I'll just accept it and go from there.

(4.4 light years) x (10⁻¹⁹) = (2.5848 x 10¹³ miles) x (10⁻¹⁹)

                                       =  2.5848 x 10⁻⁶ mile

                                       =    0.164 inch .

(1,391,400 kilometers) x (10⁻¹⁹) = 1.3914 x 10⁻¹⁰ meter


Research Conclusions:

If the Milky Way shrinks to fit on a football field, then

-- Alpha Centauri is  0.164 inch from us.

-- The sun's diameter is about 1.39 times that of a Hydrogen atom. 

Playing with this same fun concept a little more:

-- The Earth is sailing around in its orbit, once a year,
    about 0.000015 millimeter from the sun. 

-- It takes light almost 27 years to travel 1 inch !

wow  !
5 0
3 years ago
Read 2 more answers
What is 2 2/3 x 3 1/3 x 2 1/3
madreJ [45]

Answer:

  20 20/27

Step-by-step explanation:

  (2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27

_____

<em>Additional comment</em>

The first two numbers can be written as a difference and a sum:

  = (3 -1/3)(3 +1/3)(2 1/3)

  = (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)

  = (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27

  = 20 20/27

7 0
3 years ago
Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a
Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

<em><u>Explanation</u></em>

Suppose, the amount of money at 6% interest is x

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: (40000-x) dollar

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.

3 0
3 years ago
Read 2 more answers
A migrating bird flies 576 miles in 16 hours.How many miles does it fly in 3 hours
user100 [1]

Answer: It flies 108 miles in 3 hours.

Step-by-step explanation:

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7 0
3 years ago
Which function represents the sequence -5.5, -4.75 -4,-3.25... ?​
kumpel [21]
The answer I think should be
C main
3 0
3 years ago
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