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3 years ago

How do you plot 2/3 on a number line

Mathematics

1 answer:

NemiM [27]3 years ago

5 0

Answer:

_|_____________________|_____________________|_

1/3 2/3 3/3

Step-by-step explanation:

draw a line:

____________________________________________

then divide the line by three's:

_|_____________________|_____________________|_

then mark the first part 1/3

the second 2/3 and third 3/3:

_|_____________________|_____________________|_

1/3 2/3 3/3

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Simplify and write answer in standard form.

mamaluj [8]

Answer:

$x^3+8x^2+2x+1$

Step-by-step explanation:

Combine like terms (terms with the same exponent).

$x^3+(3x^2+5x^2)+(x+x)+1=x^3+8x^2+2x+1$

"Standard form" means to list terms so the exponents go from high to low (descending order).

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3 years ago

Find the volume of the cylinder in terms of pi

jeyben [28]

The answer is 127.16 pi m³, hope this helps.

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3 years ago

Which statement describes the translation of y = −5(x + 2)2 − 3 from standard position?

GalinKa [24]

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3 years ago

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

PLEASE NEED HELP NOW!!!!!!!❤️

alexira [117]

Answer:

A. 2564 cm^2

Step-by-step explanation:

There are two triangles (Which both are the same) and three different rectangles.

1. Let's solve the area of the triangles first!

Formula: bh(1/2)

10(26)(1/2)

130

2. Now, let's multiply by 2 since there's two of them:

130(2) = 260

3. So, we got 260. Let's find the area of the three rectangles!

Formula: bh

Rectangle A: 28(36) = 1008

Rectangle B: 10(36) = 360

Rectangle C: 26(36) = 936

4. Add the area of the triangles and the rectangles!

260 + 1008 + 360 + 936 = 2564

So the surface area is 2564 cm^2

Hope this helps! <3

4 0

3 years ago