Answer: 165 ways
Step-by-step explanation:
The process of selection is done by using the combination formula for selection. If given "n" items and we are to choose "r" items from this given "n", the formula to use is denoted by:
nCr. = n! /(n-r)! × r!
Where
n! = n * (n-1) * (n-2)... *3*2*1.
In this case the number of items given = 11
And the number of items to be chosen = 3,
Hence the number of ways to do this = 11C3= 11!/(11-3)! × 3!
=165 ways.
Answer: 6.28 cm
Explanation: The radius of a circle is half of the diameter, therefore you divide the diameter by two to find the radius.
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
Answer:
7 marble's
Step-by-step explanation:
55 marbles and twice as many white marbles as red marbles and he has 5 more blue marbles than white marble's
