Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given

--- number of letters
Solving (a): Number of arrangements.
We have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Answer:d
Step-by-step explanation:
Hey there! I'm happy to help!
First, let's find the radius. The radius is half of the diameter.
8.4/2=4.2
Here's how to find the area of a circle.
Square the radius.
4.2²=17.64
And multiply by pi (3.14 in our case)
17.64(3.14)=55.3896
We round to the nearest tenth, giving us an area of 55.4 ft²
Have a wonderful day! :D
Answer:
$93
Step-by-step explanation:
<em>It izz wat it izzzz!!!</em>
Answer:
35.34 and 16.66
Step-by-step explanation:
Given data
let the numbers be x and y
the smaller number = x
the larger number = y
x+y=52--------1
<em>The larger number is 2 less than twice the smaller number</em>
y=2x-2-------2
put y= 2x-2 in eqn 1
x+2x-2=52
3x-2=52
3x=52-2
3x=50
x= 50/3
x= 16.66
put x=16.66 in eqn 1 to find y
x+y=52
16.66+y= 52
y=52-16.66
y= 35.34
Hence the numbers are
35.34 and 16.66
Check
35.34+16.66= 52