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3 years ago

How many ways can the words in d-r-a-g-o-n-f-l-y be arranged

Mathematics

1 answer:

GarryVolchara [31]3 years ago

7 0

Answer:

362880 ways

Step-by-step explanation:

The word dragonfly has 9 different letters.

So, to find how many ways this word can be arranged, we just need to calculate the factorial of 9:

First letter has 9 possibilities

Second letter has 8 possibilities (one used)

Third letter has 7 possibilities (two used), and so on.

So the number of ways is:

9*8*7*6*5*4*3*2*1 = 362880 ways

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Combine like terms to create an equivalent expression. -3.6-1.9t+1.2+5.1t−3.6−1.9t+1.2+5.1t

Andreyy89

Question

Combine like terms to create an equivalent expression.

-3.6-1.9t+1.2+5.1t

Answer:

3.2t - 2.4

Step-by-step explanation:

Given;

-3.6 - 1.9t + 1.2 + 5.1t

Combining like terms means bringing terms that have "t" together and separately, those that don't have "t" together. i.e

=> − 1.9t + 5.1t - 3.6 + 1.2

=> 3.2t - 2.4

Therefore, the equivalent expression is;

3.2t - 2.4

4 0

3 years ago

What isn't the bets approximation for the area of this circle labeled 8 inches use3.14 to approximate pi

Arte-miy333 [17]

Answer:

50.272 in^2

Step-by-step explanation:

Step one:

Given data

Circles are described using the diameter parameter

Diameter of the circle is 8 inches

radius = 4 inche= d/2

Step two:

The area of the circle is

A= πr^2

A= 3.142*4^2

A=3.142*16

A=50.272 in^2

8 0

3 years ago

A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns

jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered

Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = $\frac{d}{15-x}$

time downstream = $\frac{d}{15+x}$

the ferry trip upstream takes twice as long as its return trip downstream

$\frac{d}{15-x}$ = $\frac{2d}{15+x}$

divide both sides by d

$\frac{1}{15-x}$ = $\frac{2}{15+x}$

cross multiply

$15+x= 2(15-x)$

$15+x= 30-2x$

Add 2x on both sideds

$15+3x= 30$

subtract 15 from both sides and divide by 3

$3x=15$

x=5

Speed of river's current = 5 mph

8 0

3 years ago

Find the length of the side marked x

ruslelena [56]

it's a right angled triangle so we will use hypotenuse formula to get the value of x

hypotenuse formula = a² + b² = c²

a = side of the triangle

b = base of traingle

c = hypotenuse ( can be written as h too)

and the formula can also be written as.

c² = a² + b²

therefore, x = 12.1

hope this answer helps you dear...take care!

3 0

2 years ago

Evaluate the expression when g=3 and h= 39. h-69 L B. X6 ?

lawyer [7]

Answer:
39-18 is 21.
Explanation:

3 0

3 years ago