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3 years ago

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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The terminal side of an angle in standard position passes through p(–3, –4). what is the value of tangent theta?

astraxan [27]

Answer:

4/3

Step-by-step explanation:

The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...

tan(θ) = y/x

For the given point on the terminal side, the tangent is ...

tan(θ) = (-4)/(-3) = 4/3

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<em>Additional comment</em>

There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:

(x, y) = (r·cos(θ), r·sin(θ))

Then the ratio y/x is ...

y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)

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2 years ago

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6th-grade math DUE IN 5 MIN

Veseljchak [2.6K]

Answer:

272?

Step-by-step explanation:

10 x 8 = 80

12 x 16 = 192

192 + 80 = 272.

Not sure

3 0

3 years ago

victor want to make a book tower of height 48 cm .If the thickness of book is 12 mm ,how many books will he need to make the des

lions [1.4K]

Answer:

Step-by-step explanation:

1. Change 48 cm to mm, which will give you 480 mm

2. Divide 480 mm by 12 mm, that will give you 40

Therefore, Victor needs 40 books to make his desired height.

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2 years ago

MULTIPLYING FRACTIONS YES IM AN IDOIT SO HELP ME PLEASE XOXOXOXOXOXOXOXOXOXOXOXXO

Allisa [31]

2miles=20km
20km/4=5km
5km=0,5mile
Runned 0.5 miles in total

3 0

3 years ago

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard devia

padilas [110]

Answer:

Option(A) is correct

Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Step-by-step explanation:

The given data set in the question are ;33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58

the range can be determined by finding the highest value and subtract it to the lowest value. In this case the values are:

Highest = 97

Lowest = 71

Range = highest value - Minimum value

Range = 97 - 26 = 71

$Range= 71$

mean of the data is the summation of all the numbers in the data set divided by the number of given samples.

Mean = (33 + 29 + 97 + 56+ 26 + 78 + 83 74+ 65 + 47 + 58)/11

= 647/11

$Mean value =58.7$

Now to find the variance of the data set by using below formular

σ²=[ (xᵢ -mean)²]/n-1

[(33-58.7)² +(29-58.7)²+( 97-58.7)²+( 56-58.7)²+( 26 -58.7)²+(78-58.7)²+( 83 -58.7)²+(74-58.7)²+( 65-58.7)²+( 47 -58.7)²+(58 -58.7)²]/10

$Variance=546$

Now, we will calculate standard deviation by taking square root over variance

σ =√(variance)

σ =√(546)

$Standard deviation= 23.4$

Hence, the range is 71 ,variance is 546 and standard deviation is 23.4 therefore,

Option A is the answer that is Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

5 0

3 years ago