A number (A) is 50% larger than (C). Another number (B) is 25% larger than (C) How many percent bigger is (A) than (B)?

Fibonnaci is a beautiful series in mathematics where the term in the series is the sum of the previous two terms of the corresponding term in the series.

Its general form is denoted by

$X_{n} =X_{n-1}+X_{n-2}$ ,

where $X_{n}$ represents the $n^{th}$ of the Fibonnaci series.

The special thing about the Fibonacci series is that the more number of terms we proceed the ratio of the two consecutive term comes closer to the value of the Golden Ratio(φ) whose value is 1.618034.

But there is another method to find out the terms of the the Fibonacci series, which takes into account the value of φ. The formula for the following is as follows

8 0

3 years ago

You are dealt a 5 card hand from a deck of 52 cards

jeyben [28]

I got 2 aces. one heart one spade. a jack of clubs a joker and a partrige in a pear tree.<span />

8 0

4 years ago

14 and 15 please thank you

Elanso [62]

Problem 14

<h3>Answer: They bought <u>too much</u> sand</h3>

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Explanation:

Because the sandbox is a rectangular prism, aka a block, we multiply the length width and height to get the volume.

Volume = length*width*height = 6*5*1.2 = 36

The volume of the sandbox is 36 cubic feet.

The customer bought 40 cubic feet of sand, which exceeds the volume we computed earlier. The customer bought <u>too much</u> sand.

If it was a choice of buying too much or too little, I think it's better to go overboard just so you don't have to return to the store. The extra amount of sand (40-36 = 4 cubic feet) can possibly sold or donated at a later time.

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Problem 15

<h3>Answers:</h3>

The equation could be 306.52 = 19.4h or 19.4h = 306.52
Either equation mentioned solves to h = 15.8; so the height of the prism is 15.8 meters

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Explanation:

The rectangular prism formula to calculate the volume is

Volume = length*width*height

Note that the portion "length*width" can be replaced with "base area", because the base area is a rectangle.

So we can have this alternative formula

Volume = (base area)*height

If we know the area of the floor, and multiply by the height of the wall, then we can calculate the volume of a room like this. In this case, the floor is 19.4 square meters in area. The overall room is 306.52 cubic meters. We'll let h be the height of the wall. Use algebra to solve for h

Volume = (base area)*height

306.52 = 19.4h .... is one equation to set up

19.4h = 306.52

h = 306.52/19.4

h = 15.8

We divide both sides by 19.4 to undo the multiplication going on.

The height of the prism is 15.8 meters.

6 0

3 years ago