Answer:
Permutation is used.
No. of arrangements = 1260
Step-by-step explanation:
Permutation is used for choosing & arrangement of 'r' out of 'n' objects, when sequence is important.
Total no. of alphabets in CORRECT = 7
C is repeated twice, R is repeated twice
So, Total No. of arrangements = <u>7 !</u>
(2!)(2!)
= 5040 / 4
= 1260
Answer:

Step-by-step explanation:
we know that
The equation of the line into point slope-form is equal to

in this problem we have


substitute the values in the formula

0.48 miles
Step-by-step explanation:
Step 1
It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.
Step 2
Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]
Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
=
+ 
=
+ 
36 + 12r +
= 81 + 
collecting like terms,
12r = 81 - 36
12r = 45
r = 
= 3.75
r = 3.75
The radius is 3.75.
Answer:
= 1 5/16
[/tex] 1 \frac{5}{16}[/tex]
Step-by-step explanation:

Expand

Collect like terms and simplify

Cross Multiply

Divide both sides of the equation by 80
