Answer:
The number of possible three-digit phone prefixes that are used to represent a particular geographic area is 640.
Step-by-step explanation:
The phone prefixes used to represent a particular geographic area are a 3 digit code consisting of numbers from 0 to 9.
The prefix code are of the form: <u>x</u> <u>x</u> <u>x</u>
Condition: The first or the second place cannot take values 0 or 1.
Then the first place can be occupied by the remaining 8 digits.
Similarly the second place can also be occupied by the remaining 8 digits.
And the third place can be occupied by any of the 10 digits.
So the number of ways to construct a phone prefix for any area is:
Thus, the number of phone prefixes possible for any area is 640.
By definition the area of a rectangle is:
A = l * w
Where,
l: long
w: width
So we have to clear the width:
w = A / l
Substituting the values:
w = (234) / (18) = 13
w = 13 feets
answer
the width, in feet, of the room is 13
Answer:
x = 112°, y = 68°
Step-by-step explanation:
68° and y are corresponding angles and are congruent, then
y = 68°
x and y are adjacent angles and are corresponding ( sum to 180° ), then
x + y = 180°
x + 68° = 180° ( subtract 68° from both sides )
x = 112°
159 times in 3 seconds = 159/3 = 53 times per second <==
You can solve for volume using radius or diameter.
Sphere Volume = <span> 4/3 • <span>π <span>• r³ <span> = <span>( <span>π <span>•d³)/6
We're given the diameter so let's use that.
Volume = PI * d^3 / 6
</span></span></span></span></span></span></span>
<span>Volume = 3.14159 * 3.0^3 / 6
</span>
<span>Volume = 3.14159 * 9 / 2
</span><span><span><span><span>Volume = </span>14.137 cubic centimeters
</span></span></span>
