A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x
1 answer:
Answer:
x=3 meters
Step-by-step explanation:
step 1
Find the area of the rectangular pool
we have
substitute
step 2
Find the area of rectangular pool including the area of the walkway
Let
x ----> the width of the walkway
we have
substitute
step 3
Find the area of the walkway
To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway
so
step 4
Find the value of x if the area of the walkway equal the area of the pool
so
Solve for x
Solve the quadratic equation by graphing
The solution is x=3 meters
see the attached figure
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Answer:
Campsites be chosen in 680 ways.
Step-by-step explanation:
Given:
Number of campsites= 17
Number of campsites that are to be occupied=3
To Find:
Number of ways can the campsites be chosen=?
Solution:
Combination:
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
nCr = n(n - 1)(n - 2) ... (n - r + 1)/r! = n! / r!(n - r)!
No of ways in which campsites can be chosen= 17C3
=>
=>
=>
=>680