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KonstantinChe [14]
3 years ago
7

Question one answer: S²=3V/H

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

\ S=\sqrt{\dfrac{3V}{H}}}

Step-by-step explanation:

The opposite operation of squaring is taking the square root.

\ S=\sqrt{\dfrac{3V}{H}}}

We know that the denominator of a fractional power is the index of the corresponding root:

\displaystyle x^\frac{1}{n}=\sqrt[n]{x}

For n=2, we don't usually write the index in the root symbol:

x^{\frac{1}{2}}=\sqrt{x}

In the case of this problem, ...

(S^2)^{\frac{1}{2}}=\left(\dfrac{3V}{H}\right)^{\frac{1}{2}}\\\\S=\sqrt{\dfrac{3V}{H}}

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Point A is at (2, -8) and point C is at (-4, 7).
Dahasolnce [82]

Answer:

(-2, 2)

Step-by-step explanation:

<u>Given:</u>

  • Point A is at (2, -8) and point C is at (-4, 7)

<u>Difference of coordinates:</u>

  • Δx = 2 - (-4) = 6
  • Δy = - 8 - 7 = - 15

<u>The ratio of AB to AC is 2:1. So:</u>

  • AB = 2*AC/3 and BC = AC/3

<u>Then coordinates of point B should be 2/3 from the point A:</u>

  • x = 2- 6*2/3 = 2 - 4 = -2
  • y = - 8 - (-15)*2/3 = -8 + 10 = 2

So point B has coordinates of (-2, 2)

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3 years ago
Which expression is equivalent to y · 48?
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Answer:

None of the above

Step-by-step explanation:

F - 40y

G - 4y

H - 40y

J y+4

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2 years ago
There are several houses for sale in a local neighborhood. One house is on the market for $105,000. Four houses are on sale for
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600,457 is correct answer
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5 more than d.<br> (Need answer ASAP)
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Answer: 5+d

Step-by-step explanation:

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2 years ago
Find the values of sin2u, cos2u, and tan2u given the figure.
Vadim26 [7]

Givens

y = 2

x = 1

z(the hypotenuse) = √(2^2 + 1^2)  = √5

Cos(u) = x value / hypotenuse = 1/√5

Sin(u) = y value / hypotenuse = 2/√5

Solve for sin2u

Sin(2u) = 2*sin(u)*cos(u)

Sin(2u) = 2(\dfrac{1}{\dsqrt{5}} * \frac{2}{\dsqrt{5}} = \dfrac{2}{5}) = 4/5

Solve for cos(2u)

cos(2u) = - sqrt(1 - sin^2(2u))

Cos(2u) = - sqrt(1 - (4/5)^2 )

Cos(2u) = -sqrt(1 - 16/25)

cos(2u) = -sqrt(9/25)

cos(2u) = -3/5

Solve for Tan(2u)

tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3

Notes

One: Notice that you would normally rationalize the denominator, but you don't have to in this case.  The formulas are such that they perform the rationalizations themselves.

Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)

Three: If you are uncomfortable with the  tan, you could do fractions.

\text{tan(2u)} = \dfrac{\dfrac{4}{5}}{\dfrac{-3}{5} } =\dfrac{4}{5} *\dfrac{5}{-3} =\dfrac{4}{-3}

7 0
3 years ago
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