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3 years ago

14

Today Jan wants to run less than 7 12th Write a fraction with a denominator of 4 to represent a distance that is leso than 7 12t

h mile

2 answers:

Lelechka [254]3 years ago

7 0

2 to the 3rd power of 4

attashe74 [19]3 years ago

7 0

A denominator of 4 to represent a distance that is less than 7/12 miles is 1/4

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Which could be used to find the number x.

Kazeer [188]

Answer:

c.

Step-by-step explanation:

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3 years ago

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How many corners does a cube have? how many faces does a cube have? how many other cubes would share a given corner atom or face

andreev551 [17]

<span>How many corners does a cube have?
A cube is a 3-dimensional solid figure made by square faces. It would have 8 corners which connects the faces of the cube.

how many faces does a cube have?
There would be 6 faces in a cube

how many other cubes would share a given corner atom or face atom if several cubes were stacked side-to-side, front-to-back, and top-to-bottom?

If several of these cubes are being stacked side-to-side, front-to-back, and top-to-bottom, each corner would share a total of eight cubes. All of the corners would share a different cube. We have eight corners thus eight cubes.</span><span>
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3 years ago

The original price of a dining table set is $400. The set is on sale for 40% off. What is the sale price of the set?

disa [49]

Answer:

Your answer will be $240

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3 years ago

The crosssectional areas of triangular prism and a night cylinder are congruent. The triangular prism has a helght of 5 units, a

dmitriy555 [2]

Answer:

The volume of the triangular prism is not equal to the volume of the cylinder

Step-by-step explanation:

Given that:

The cross sectional area of triangular prism and a night cylinder are congruent. The term 'congruent' means when two objects or shapes are placed above each other , they should both overlap exactly.

It was given that:

The triangular prism has a height of 5 units

and the right cylinder height of 3 units

The conclusion that can be drawn from this is that:

The volume of the triangular prism is not equal to the volume of the cylinder.

This is because, they do not occur in the same family. A triangular prism is a three - dimensional shape that has identical, parallel ends and parallel faces.

A triangular prism has two triangles at it ends and three rectangular faces.

The volume of the triangular prism is calculate by using the formula:

$V= \dfrac{1}{2}\times b \times h\times l$

On the other hand, a cylinder is a shape with two circular ends and a curved surface.The two circular ends are congruent and both circular end posses the same cross section from one end to the other in the cylinder.

The volume of a cylinder is calculated by using the formula:

V = πr²h

Thus, we conclude that irrespective of the nature of their congruency, since the heights are different which will definitely affects their volume, the the volume of the triangular prism is not equal to the volume of the cylinder.

3 0

3 years ago

Give an example of each of the following or explain why no such example exists. (a) Two polynomials of degree 1 in Z4x whose pro

andre [41]

Answer:

Step-by-step explanation:

(a)

let, f(x) = 2x+1 & g(x) = 2x+2

So, f(x).g(x) = (2x+1).(2x+2) = 4x² + 6x + 2 = 2x+2 in $Z_4[x]$

So, product of two 1 degree polynomials is a 1-degree polynomial in $Z_4[x]$

(b)

let, f(x) = 2x³ - 3x² + 5x + 7 & g(x) = -2x³ + 3x² + x + 3 be two polynomials in R[x]

So, f(x) + g(x) = 6x + 10, which is a polynomial of degree 1 in R[x]

(c)

this is not possible, since, if f & g are 2 polynomials in any polynomial ring S, then, we always have,

deg(f.g) <= deg(f) + deg(g)

So, deg(f.g) = 5 (as desired) but, deg(f) + deg(g) = 2+2 = 4 but, 4 < 5

So, this is not possible.

So, no such example exists.

3 0

3 years ago