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Zielflug [23.3K]
3 years ago
12

The base of a solid right pyramid is a square with an

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer:

Volume = ⅓n²(n-1) or ⅓(n³ - n²)

Step-by-step explanation:

Given

Solid Shape: Right pyramid

Edge= n units

Height= n - 1 units

Required

Volume of the pyramid

The volume of a right pyramid is

Volume = ⅓Ah

Where A represents the area of the base

h represent the height of the pyramid

Since it has a square base;

The area is calculated as follows

Area, A = edge * edge

A = n * n

A = n²

Recall that

Volume = ⅓Ah

Substitute n² for A and n - 1 for h

The expression becomes

Volume = ⅓ * n² * (n - 1)

Volume = ⅓n²(n-1)

The expression can be solved further by opening the bracket

Volume = ⅓(n³ - n²)

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Let, the numbers = x,y

x+y= 24   1st eqn

x-y = 44   2nd eqn

24-y-y = 44

-2y = 44-24

y = 20/-2 = -10

substitute that in equation 1st x = 24+10 = 34

so, the numbers would be 34 & -10



4 0
3 years ago
Solve for x given the equation x-5+7=11
Alexeev081 [22]

Answer:

9

Step-by-step explanation:

x-5+7=11

First think of what +7 = 11 then subtract by 5

check  :)

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4 years ago
Which of the following is a true polynomial identity?
Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

You can use FOIL or the distributive property to expand the product of binomials, Then collect terms and factor out the common factor.

  (x^2+1)(x^2+a)-a

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HELP WITH MY MATH EXAM i don't know what to do and my head hurts a lot
gogolik [260]

Answer:

x = 154/13

Step-by-step explanation:

You are given the measures of all three angles in a triangle

so according to the Triangle Sum Theorem:

∠MNO + ∠OMN + ∠NOP = 180

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2. Combine like terms:

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3. Isolate x by subtratcing 26 from both sides

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x = 154/13

8 0
3 years ago
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