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Nitella [24]
2 years ago
9

Volume of a cylinders​

Mathematics
1 answer:
const2013 [10]2 years ago
7 0

Answer:

The volume of cylinder is V=πr^2h

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What is the justification for the first step in proving the formula for factoring the sum of cubes?
Anna11 [10]

Explanation:

The formula isnt correctly written, it should state:

a^3+b^3 = (a+b)(a^2-ab+b^2)

You have to start from (a+b)(a^2-ab+b^2)  and end in a³+b³. On your first step, you need to use the distributive property.

(a+b)(a^2-ab+b^2) = a*(a^2-ab+b^2) + b*(a^2-ab+b^2)

This is equal to

a*a^2-a*(ab) + a*b^2 + b*a^2-b*(ab) + b*b^2 = a^3 - a^2b + ab^2 +ba^2 -b^2a +b^3

Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.

5 0
3 years ago
A jet ski costs $925 and depreciates by 15% each year. How much will
ivann1987 [24]
Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
                              = 925( 1 - 15%)^7
                              = 925( 1 - 15/100)^7
                              = 925(1 - 0.15)^7
                              = 925(0.85)^7
                              = 925 *(0.85)^7
                              = 925 * 0.3206
                              = 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53
6 0
3 years ago
Here is a solid square-based pyramid.
Anna11 [10]

Answer:

Step-by-step explanation:

A. The front elevation of the pyramid in the direction of the arrow is herewith attached to this answer.

B. Base of the pyramid is a square of side 12 cm.

   The height of the pyramid is 8 cm.

   Slant height, XT, is 10 cm.

The total surface area of the pyramid can be determined by adding the surface areas that make up the shape.

Area of the triangular face = \frac{1}{2} × base × slant height

                                            =  \frac{1}{2} × 12 × 10

                                            = 60 cm^{2}

Area of the square base = length × length

                                         = 12 × 12

                                         = 144  cm^{2}

Total surface area of the pyramid = area of the base + 4 (area of the triangular face)

                              = 144 + 4(60)

                              = 144 + 240

                              = 384 cm^{2}

Therefore, total surface area of the pyramid is 384 cm^{2}.

5 0
3 years ago
What is 3 3/4 divided by 2
Vedmedyk [2.9K]
That’s 3.75/2= 1.875
4 0
3 years ago
Read 2 more answers
Evaluate each expression if m = 3 and n = 7. n to the power of 2 - 2m
Murljashka [212]

Answer:

7 to the power of 2 - 2 * 3 is equal to 43

Step-by-step explanation:

3 0
2 years ago
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