Answer:
x=2
Step-by-step explanation:
let x be the edge length of the square removed at each corner;
Hence the area of the base is:
Using the quadratic equation formula, or completing the square, x, or length of a side of one of the squares is x=2 or x=58
#Given that x=58 is larger than 40cm, the side length is x=2
The number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
<h3>How to determine the combination</h3>Note that the formula for combination is given as;
Combination =
From the information we have that;
There are 28 questions in the pool
The test should have a total of 10 questions;
6 difficult , 10 average and 12 easy questions
We are asked to determine the combination of;
3 difficult questions
4 average questions
3 easy questions
6C3 =
6C3 =
6C3 = 20
10C4 =
10C4 =
10C4 = 210
12C4 =
12C4 = 220
The number of ways of constructing the questions is
= 20 × 210 × 220
= 924, 000 ways
Thus, the number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
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