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satela [25.4K]
3 years ago
6

The base of a right rectangular pyramid has length 14 ​cm, width 12 ​cm, and height 13 cm. Describe a cross section that could b

e formed by a horizontal plane that intersects the faces of the pyramid above the base.
Mathematics
1 answer:
lakkis [162]3 years ago
8 0
It would be a RECTANGLE proportional to the base of the pyramid.
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-5(2b + 7) + b < -b - 11
Stells [14]
<span><span>-5(2b+7) + b < -b - 11</span>
<span>-10b - 35 + b < -b - 11

- 10b + b - 35 < -b - 11

-9b - 35 < -b - 11

- 9b + b < - 11 + 35 

-8b < 24

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8 0
3 years ago
What is the volume of this solid?<br><br> A. 1104<br> B. 132<br> C. 96<br> D. 276
statuscvo [17]

For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:

The volume of the prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It's the height

Substituting:V = 6 * 6 * 6\\V = 216 \ units ^ 3

The volume of the pyramid is given by:

V = \frac {1} {3} * L ^ 2 * h

Where:

L ^ 2:It is the area of the base

h: It's the height

Substituting:

V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3

We add and we have:

V = 276 \ units ^ 3

ANswer:

Option D

6 0
3 years ago
If a two story home has a ground floor of 25*30 feet and second floor of 20*30 feet, what is the total square footage of the hom
Archy [21]

Answer: 1350 ft^2

Step-by-step explanation:

The total square footage of the home will be equal to the sum of the areas of each floor.

We know that the ground floor is 25 ft by 30ft,  which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.

We know that te area of a rectangle of width W and length L is:

A = L*W

then the area of the ground floor is:

A = 25ft*30ft = 750 ft^2

And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:

A = 20ft*30ft = 600ft^2

Then the total square footage of the home is:

SF = 750ft^2 + 600ft^2 = 1350 ft^2

3 0
3 years ago
Rewrite (120 + 20) using factoring.
solong [7]

5(24+4) Also 20(6+1)...................

5 0
2 years ago
Read 2 more answers
What is the complete factorization of the polynomial below x^3+2x^2+4x+8
vagabundo [1.1K]

Answer:

c) (x + 2)(x + 2i)(x - 2i)

Step-by-step explanation:

x^3 + 2x^2 + 4x + 8

= (x^3 + 2x^2) + (4x + 8)

= x^2( x + 2) + 4(x + 2)

= (x + 2)(x^2 + 4)

= (x + 2)(x^2 - 4i^2)  ---------------------------->(i^2 = -1)

= (x + 2)(x + 2i)(x - 2i)

3 0
3 years ago
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