Answer:
13.4feet
Step-by-step explanation:
The set up forms a right triangle.
Given
Height of the staircase h = 12 feet
Base of the stairs b = 6feet
Required
Length of the ramp l
Using the pythagoras theorem
l² = h² + b²
l² = 12²+6²
l² = 144 + 36
l² = 180
l = √180
l = 13.42 feet
Hence the length of the ramp to the nearest tenth is 13.4feet
Answer:
Percentage profit=40%
Step-by-step explanation:
Cost price=120 Naira
Sold price=168 Naira
Profit=Sold price- cost price
=168-120
=48 Naira
Percentage profit=profit/cost price×100
=48/120×100
=0.4×100
=40%
Percentage profit=40%
Answer:
The probability is 
Step-by-step explanation:
We can divide the amount of favourable cases by the total amount of cases.
The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8,
For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function
with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.
Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.
We can conclude that the probability for 8 rooks not being able to capture themselves is

Answer:
Answer: Five times a number increased by 7 is 27 from equation Get the answers you need, now!
Answer:
8
Step-by-step explanation:
if you substitute 3 for x the equation becomes y=2(3) + 2
using order of operations you multiply 3 by 2 and then add 2 which will give you 8