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4 years ago

Which one of the following numbers will appear farthest to the right on a number line?

Mathematics

2 answers:

Feliz [49]4 years ago

5 0

$\pi$ is the largest number out of the choices so it will appear furthest to the right of a number line.

stepladder [879]4 years ago

4 0

$\pi = 3.14
$

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6 om

frutty [35]

Answer:

The height of the pyramid is 2cm

Step-by-step explanation:

From the complete question, we have:

Marble Dimension:

$Length = Width = 6cm$

$Height = 8cm$

Pyramid

$Length = Width = 6cm$

Volume = 1/4th of the volume of the marble

Required

The height of the pyramid

First, calculate the volume of the Marble

$Volume = Length * Width *Height$

So:

$V_1 = 6cm * 6cm * 8cm$

$V_1 = 288cm^3$

Calculate the volume of the Pyramid

$Volume = Length * Width *Height$

$V_2 = 6cm * 6cm * h\ cm$

$V_2 = 36cm^2 h$

From the question, we understand that:

$V_2 = \frac{V_1}{4}$

So, we have:

$36cm^2h = \frac{288cm^3}{4}$

$36h = \frac{288cm}{4}$

$36h = 72cm$

Solve for h

$h = \frac{72cm}{36}$

$h =2cm$

7 0

3 years ago

Hello please help me on #5 <br> I’m not sure what I did wrong

mixas84 [53]

Step-by-step explanation:

16x^4 = 625

x^4 = 625/16 = (5^4)/(2^4) = (5/2)^4

x = 5/2 , -5/2

x = 2.50 , -2.50

4 0

3 years ago

Answer both with STEPS

Amanda [17]

Answer:

7 )

x = $\frac{3\sqrt{2} }{2}$

$y= 3$

8 )

$x=6\sqrt{6}$

$y= 9\sqrt{2}$

Step-by-step explanation:

7 ) 8)

In Δ ABC In Δ XYZ

∠ C = 45° ∠ X = 60°

∠ A = 90° ∠ Y = 90°

$AC= \frac{3\sqrt{2} }{2}$ $XY= 3\sqrt{6}$

To Find :

x = ?

y = ?

Solution:

We Know

In Δ ABC

∠ C = 45°

∠ A = 90°

∴ ∠ B = 45° ......Angle sum property of a triangle i.e 180°

∴ Δ ABC is an Isosceles Triangle

∴ AC = AB = x = $\frac{3\sqrt{2} }{2}$

Now appplying Trignometry identity we get

$\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\sin 45 = \frac{AC}{BC}\\\\\frac{1}{\sqrt{2} } =\frac{\frac{3\sqrt{2} }{2}}{y}\\\\y=\frac{3\times \sqrt{2}\times \sqrt{2} }{2}\\\\y= 3$

Now In Δ XYZ

∠ X = 60°

∠ Y = 90°

∴∠ Z = 30° . .....Angle sum property of a triangle i.e 180°

Now appplying Trignometry identity we get

$\tan X = \frac{\textrm{side opposite to angle X}}{\textrm{side adjacent to angle X}}$

$\tan 60 = \frac{YZ}{XY}\\\\\sqrt{3} =\frac{y}{3\sqrt{6} }\\ y= 3\sqrt{3} \sqrt{6} \\y= 9\sqrt{2}$

Now,

$\sin X = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\\\sin 60 = \frac{YZ}{XZ}\\ \\\frac{\sqrt{3} }{2} =\frac{9\sqrt{2} }{x} \\\\x=\frac{18\sqrt{2} }{\sqrt{3} } \\\textrm{after fationalizing the denominator root 3 we get}\\\\x=6\sqrt{6}$

8 0

3 years ago

Can someone please help me with this.

damaskus [11]

Answer:

Take the chicken across, and come back, then take the corn across, and come back with the chicken. Then take the fox across and come back. Then take the chicken across!

Step-by-step explanation:

Mark at brainliest if this helps please

5 0

3 years ago

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miss Akunina [59]

Answer:

hope this helps

have a good day :)

Step-by-step explanation:

4 0

3 years ago