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Zielflug [23.3K]
2 years ago
12

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

Mathematics
1 answer:
zhuklara [117]2 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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Eliminate parenthesis by using the distribution property

= 5x² -3x +3 - x² - 2x +1

Group similar terms

= (5-1)*x² + (-3 -2)*x + (3+1)

Then sum everything:

= 4x² -5x +4





7 0
3 years ago
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Is 3.50s+5.00L less than or equal to 80 a system of linear inequalities
kirill [66]

Answer:

I would go with less than

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4 0
3 years ago
A company is to hire two employees. They have prepared a final list of eight candidates, all of whom are equally qualified. Of t
Softa [21]

Answer:

i) Probability that both candidates employed are women = 5/14

ii) Probability that the second candidate is a woman = 5/8

iii) Probability that the first candidate is a woman given that second one is a woman = 4/5

Step-by-step explanation:

Let the probability that a man is employed be P(M) = 3/8

Probability that a woman is employed P(W) = 5/8

a) Probability that both candidates employed are women = (5/8) × (4/7) = 5/14

b) Probability that the second candidate is a woman = (probability that first candidate is a man and second candidate is a woman) + (probability that first candidate is a woman & second candidate is a woman)

= (3/8)(5/7) + (5/8)(4/7) = (15/56) + (20/56) = 35/56 = 5/8

c) Probability that the first candidate is a woman given that second one is a woman

Given that the second candidate was a women, means that the first candidate-women was selected among other four women.

Probability = (4/8)/(5/8) = 4/5

7 0
3 years ago
Im stuck ....<br> What is the solution for the equation 2(3x−7)=−4(x+5)+3? <br> plss show work
Ipatiy [6.2K]

Answer:

2(3x - 7) =  - 4(x + 5) + 3 \\ 6x - 14 =  - 4x - 20 + 3 \\ 6x + 4x =  - 20 + 3 + 14 \\ 10x =  - 3 \\  \\ x =  \frac{ - 3}{10}  \\  \\ x =  - 0.3

I hope I helped you^_^

5 0
2 years ago
Use mental math to simplify the expression. (5 + 23) + 65
ohaa [14]
1. (5+23)+65 = (5+65)+23 = 70+23 = 93 (D)
2. -(4x-7) = -4X+7 (C)
3. 2(6X+9) = 12X+18 (B)
4. 5(X-3) = 35
X-3 = 35/5
X-3 = 7
SO X= 7+3 = 10

THEN NO
9 IS NOT A SOLUTION
8 0
3 years ago
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