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iris [78.8K]
3 years ago
12

The equation gives the speed at impact, V metres per second, of an object dropped from a height of h metres. SHOW WORK From what

height must an object be dropped to impact the ground at a speed of 18.6 m/s?
Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

h = 17.65 m

Step-by-step explanation:

The given equation gives the speed at impact :

v=\sqrt{2gh}

h is height form where the object is dropped

Put v = 18.6 m/s in the above equation.

h=\dfrac{v^2}{2g}\\\\h=\dfrac{(18.6)^2}{2\times 9.8}\\\\h=17.65\ m

So, the object must be dropped from a height of 17.65 m.

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Two parallel lines are crossed by a transversal.
Lemur [1.5K]

Answer:

D. b = 128

Step-by-step explanation:

Find the diagram to the question attached.

From the diagram, line p is parallel to line q i.e p//q

You must understand that the angle at the opposite side of the transversal are equal i.e alternate angle.

From the diagram, <b = 118° (alternate angle)

Hence option D is correct

3 0
3 years ago
What expression represents the width of the rectangle
Oduvanchick [21]
<h3><u>Answer:</u></h3>

  • <u>x </u><u>-</u><u> </u><u>8</u>

<h3><u>Solution</u><u>:</u></h3>

We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.

  • Also we are given the area of the rectangle as x² - 15x + 56 square meters .

We have to find the expression for another side of the rectangle i.e it's width

We will use the formula of area of rectangle to find the expression :

  • <u>A</u><u>rea </u><u>=</u><u> </u><u>length </u><u>×</u><u> </u><u>width</u>

Therefore,

‎ㅤ‎ㅤ➝ A = l × w

‎ㅤ‎ㅤ➝ x² - 15x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w

‎ㅤ‎ㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w

‎ㅤ‎ㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )

‎ㅤ‎ㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )

‎ㅤ‎ㅤ➝ <u>w = ( x - 8 )</u>

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2 years ago
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viktelen [127]

Answer:

f-2(x) = \sqrt{x} -4, - \sqrt{x} -4

Step-by-step explanation:

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A song has 28 beats in 4 seconds . At this rate ,how many beats are there in 30 seconds?
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(28) (30) = 4x

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