1. Ms. Procter was running at a speed of 9 minutes per mile. How long would it take her to
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Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²
There are 21 ways Tim choose 2 books from the 7 recommended book
<em><u>Solution:</u></em>
Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program
To find: different ways can Tim choose 2 books from the 7 recommended books
This is a combination problem
A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected
<em><u>The formula for combinations is:</u></em>
where n represents the number of items, and r represents the number of items being chosen at a time
Here we have to choose 2 books from 7 books
Therefore, n = 7 and r = 2
<em><u>Substituting values in above formula, we get</u></em>
For a number n, the factorial of n can be written as,
Therefore, we get
Thus there are 21 ways Tim choose 2 books from the 7 recommended book