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Aleonysh [2.5K]
3 years ago
15

Simplify completely: 4V10 – V6 +3710 Show all work for full credit.

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0
The answer is 7√10−√6

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The axis of a great circle of a sphere is 24 inches. If its radius is 9 inches, how far is the plane of a section from the cente
Blababa [14]
A great circle is a section of a sphere that passes through its center. If the earth were a sphere, a great circle would be the equator and its axis would be the line connecting the geographic north and south pole. The length of the axis is then equal to the diameter of the sphere. For this problem, the radius of the sphere is 12 inches. A section is formed by slicing through the sphere and all sections of a sphere are circles. Considering the plane to be cut above and parallel with the equator (which is a great circle), the distance of the plane from the center of the sphere would then be the distance between the centers of the sphere and section. It is also given that the radius of the section is 9 inches. A right triangle is formed by connecting the center of the sphere, an edge of the section, and back to the center of the sphere whose hypotenuse is 12 inches (radius of the sphere), one leg is the 9 inches (radius of the section), and another leg is the distance of the plane from the sphere's center. Thus, the distance can be calculated using the Pythagorean theorem, d = sqrt(12^2 - 9^2) = sqrt(144 - 81) = sqrt(63) = 3*sqrt(7).


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6 0
3 years ago
Hurry fasttt fastttt
I am Lyosha [343]
The first option I believe thank me plz
8 0
3 years ago
If ΔLMN ~ ΔPON, what is MN?
Assoli18 [71]

Answer:

MN = 36

Step-by-step explanation:

You can find a ratio between the two triangles based on what you're given.

If LM ~ OP the ratio is 42/14 which = 3

So if MN ~ ON and ON = 12, 12(3) = 36

8 0
3 years ago
What would the balance be after 5 years if you deposited $1,000 in an account compounded monthly if the interest rate is 3.7%?
iVinArrow [24]
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3 years ago
Light travels at 186,000 miles per second. Light takes about 1 1⁄3 seconds to travel from the earth to the moon. Calculate the d
Evgesh-ka [11]

Answer:

248000  miles

Step-by-step explanation:

if it takes 1 \frac{1}{3} seconds then multiply 186,000 by 1 \frac{1}{3} because 186,000 is equal to 1

7 0
3 years ago
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