Given:
The given digits are 1,2,3,4,5, and 6.
To find:
The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).
Solution:
To form an even number, we need multiples of 2 at ones place.
In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.
We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.
Total number of ways to form a 5 digit even number is:


Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.
Answer:
70 centimeters squared
Step-by-step explanation:
area of trapezoid formula is 1/2 (b1 + b2)
1/2 (7+13)(7)
7 is base 1, 13 is base 2, 7 is the height
1/2(7+13)(7)
1/2(20)(7)
1/2(140)
70
Answer:
mA=56 degrees
Step-by-step explanation:
Complementary angles adds up to 90 degrees. This imply that

From this equation, we can find x:

Now, we can substitute the value for x into the angle mA:

Right triangle
Sin A = Opp./ Hypo. = BC/AC
Cos C = Adj./Hypo. = BC/AC
Answer is D.
Sin A = Cos C
Answer:
The answers is below in the picture.
Step-by-step explanation: