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almond37 [142]
3 years ago
11

The shape of a cross-section of a cube depends on the orientation of the slicing plane. What is the cross-section of a cube, if

the slice is made parallel to one of the faces?

Mathematics
2 answers:
Kazeer [188]3 years ago
6 0
<h3>Answer:</h3>

The cross-section of the cube that is obtained by slicing a cube parallel to one of it's face is:

Square

<h3>Step-by-step explanation:</h3>

We know that the faces of a cube are made up of squares.

As, the cube has 6 faces each made up of squares.

so, when is slicing is done parallel to any of the faces of a cube then we will obtain the slice similar to the shape of the face of the cube.

i.e. the cross-section of the slice so formed is:

Square.

Also, the slicing could be seen with the help of a figure.

pochemuha3 years ago
5 0
The cross-section of a cube, if the slice is made parallel to one of the faces, would be a square congruent to the face of the cube.
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6b - 1 &lt; -7 or 2b + 1 &gt; 5
bogdanovich [222]
I hope this helps you

3 0
3 years ago
What is the value of A when we rewrite 2^x-6 + 2x as A * 2^x?
Leto [7]

Algebraic expressions are expressions that use numbers and variables

The value of A is 65/64

<h3>How to determine the value of A</h3>

The expression is given as:

2^{x - 6} + 2^x

Rewrite the expression as:

2^{x - 6} + 2^x = \frac{2^x}{2^6} + 2^x

Factor out 2^x

2^{x - 6} + 2^x = 2^x(\frac{1}{2^6} + 1)

Rewrite as product

2^{x - 6} + 2^x = 2^x * (\frac{1}{2^6} + 1)

The expression to compare with is given as: A * 2^x.

So, we have:

A * 2^x  =2^x * (\frac{1}{2^6} + 1)

Divide both sides by 2^x

A =\frac{1}{2^6} + 1

Take LCM

A =\frac{1 + 2^6}{2^6}

A =\frac{65}{64}

Hence, the value of A is 65/64

Read more about expressions at:

brainly.com/question/4344214

6 0
2 years ago
The fox population in a certain region has a continuous growth rate of 5% per year. It is estimated that the population in the y
kvasek [131]

Answer:

P(t) = A * (1 + r)^t ;

14,922 ;

Year 2013

Step-by-step explanation:

Given the following :

Continuous growth rate(r) = 5% = 0.05

Population in year 2000 = Initial population (A) = 10,100

Time(t) = period (years since year 2000)

A)

Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).

P(t) = A * (1 + r)^t

Trying out our function for t = year 2000, t =0

P(0) = 10,100 * (1 + 0.05)^0

P(0) = 10,100 * 1.05^0 = 10,100

B.)

Use your function from part (a) to estimate the fox population in the year 2008.

Year 2008, t = 8

P(8) = 10,100 * (1 + 0.05)^8

P(8) = 10,100 * 1. 05^8

P(8) = 10,100 * 1.4774554437890625

= 14922.29

= 14,922

c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.

P(t) = A * (1 + r)^t

18400 = 10,100 * (1.05)^t

18400/10100 = 1.05^t

1.8217821 = 1.05^t

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

0.0487901 * t = 0.5998151

t = 0.5998151 / 0.0487901

t = 12.293787

Therefore eit will take 13 years

2000 + 13 = 2013

4 0
4 years ago
Find the value of x if w is perpendicular to y
Marta_Voda [28]
This relationship again shows that since w and y are perpendicular to each other that the smaller angles will add up to give 90 degrees.

3x + 3 + 15 = 90

3x + 18 = 90

3x = 90 - 18

3x = 72

X =72/3

X = 36 degrees
3 0
3 years ago
The line that passes through the point (-4, 2) and has a
xxMikexx [17]

Answer:

y = 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (- 4, 2 ) into the partial equation

2 = - 8 + c ⇒ c = 2 + 8 = 10

y = 2x + 10 ← equation of line

3 0
3 years ago
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