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fiasKO [112]
3 years ago
11

What is the magnitude of the vector?

Mathematics
1 answer:
viktelen [127]3 years ago
3 0

Answer:

\boxed{\sqrt{65}}

Step-by-step explanation:

Magnitude is solved with the following equation: \sqrt{x^{2}+y^{2}}

Therefore, just plug in your x and y-values and solve.

\sqrt{4^{2}+7{^{2}}

\sqrt{16 + 49}

\sqrt{65}

Because \bold{\sqrt{65}} cannot be simplified further, this is the magnitude of the vector.

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What is the primary goal and secondary goal of the Fried Liver Opening in chess? <br />
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Play usually continues 7.Qf3+ Ke6 8.Nc3 (see diagram). Black will play 8...Nb4 or 8...Ne7 and follow up with c6, bolstering his pinned knight on d5. If Black plays 8...Nb4, White can force the b4 knight to abandon protection of the d5 knight with 9.a3?! Nxc2+ 10.Kd1 Nxa1 11.Nxd5, sacrificing a rook, but current analysis suggests that the alternatives 9.Qe4, 9.Bb3 and 9.O-O are stronger. White has a strong attack, but it has not been proven yet to be decisive.

Because defence is harder to play than attack in this variation when given short time limits, the Fried Liver is dangerous for Black in over-the-board play, if using a short time control. It is also especially effective against weaker players who may not be able to find the correct defences. Sometimes Black invites White to play the Fried Liver Attack in correspondence chess or in over-the-board games with longer time limits (or no time limit), as the relaxed pace affords Black a better opportunity to refute the White sacrifice.


3 0
3 years ago
The points scored on a test for a sample of
jasenka [17]

Answer:

The mean is 42.6

Step-by-step explanation:

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3 years ago
The solid was created by connecting two congruent square pyramids to a rectangular prism.
AnnyKZ [126]

Answer:

  1920 square inches

Step-by-step explanation:

For a rectangular prism, the lateral area can be found by ...

  LA = Pl

where P is the perimeter, and l is the length.

For a square pyramid, the lateral area can be found by ...

  LA = (1/2)Ph

where P is the perimeter of the base, and h is the slant height of the triangular faces.

For a figure with a square cross section of perimeter P "capped" by square pyramids on either end, the total surface area is the sum of the lateral areas of the three components:

  SA = (Pl) + (1/2)Ph + (1/2)Ph

  SA = P(l+h) = (4×15 in)(14 +18 in) = (60)(32) in²

  SA = 1920 in²

The surface area of the solid seems to be 1920 square inches.

__

<em>Caveat</em>

If the figure is something other than what we have tried to describe, your mileage may vary. A diagram would be helpful.

3 0
4 years ago
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alex41 [277]

Answer: The zeroes are -2/3 and 4

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8 0
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X^2-16x+7=0 how do I solve this step by step
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Answer: The answer I got was

x=8±√57

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3 years ago
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