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Mumz [18]
3 years ago
8

What volume of water at 4°c can be held in a cube whose edge is 3.0 cm long?

Mathematics
1 answer:
NeTakaya3 years ago
8 0
First density of water is 1 g/cm^3 (however changes in temperature changes it but we can ignore that)
 and  volume of this cube is 27 cm^3
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How far up does the ladder reach on the building?
pychu [463]

Step-by-step explanation:

The question missing attachment (incomplete)

But the question said how far up does the ladder reach on the building?

See the attachment

Let the tita be 60° and the height of the building be 50 meters

Now

Opposite/hypotenuse = sin(tita)

50/x = sin60°

Cross multiply to find x

x = 50/sin(60°)

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Determine the equation of the line with slope −4 that passes through the point M(−2, 1).
scoray [572]
Y=mx+b
m=slope
b=y-intercept
y=-4x+b 
Plug in the coordinate in place of x and y (-2,1) 
1=-4(-2)+b 
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b=-7

Final answer: 
<span>y = −4x − 7
</span>
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3 years ago
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Help help help guys show you solution​
Mars2501 [29]

Answer:

Step-by-step explanation:

1) y  = 2x  ----------(I)

x + y = 6 -----------(II)

Plug in y =2x in equation (II)

x + 2x = 6        {Add like terms}

  3x    = 6

       x = 6/3

      x = 2

Plugin x = 2 in (I)

 y = 2*2

y = 4

<u>Check: </u>

     LHS = x +y

             = 2 + 4

            = 6  = RHS

2)5x + 10y = 3 ------------(I)

x = (-1/2) y     ------------(II)

Substitute x = (-1/2)y in (I)

5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\    y = 3*\frac{2}{15}\\\\   y = \frac{2}{5}

Substitute y = (2/5) in equation (II)

x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}

<u>Check:</u>

Substitute x and y value in equation (I)

LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\  = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS

3) y - x = 3x + 2

        y = 3x + 2 + x

         y = 4x + 2 ---------------(I)

2x + 2y = 14 - y

2x + 2y +y = 14

2x + 3y = 14     ------------------(II)

Substitute y = 4x + 2 in equation (II)

2x + 3(4x +2) = 14

2x + 3*4x + 3*2 = 14

2x + 12x + 6 = 14

        14x + 6 = 14

              14x = 14 - 6

              14x = 8

                 x = 8/14

            x = 4/7

Substitute 'x' value in (I)

y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}

<u>Check:</u>

<u />LHS = 2x + 3y\\\\      = 2*\frac{4}{7}+3*\frac{30}{7}\\\\  = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS<u />

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Answer:

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Answer:

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