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:
36pie inch²
Step-by-step explanation:
Answer attached
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
Answer:
2. 16
3. 46
4. 59
Step-by-step explanation:
5.The measure of smaller angle is 87 degrees.
Step-by-step explanation:
Consider the provided information.
The provided angles are 3x degree and 2x + 25 degree.
Two angles are said to be Supplementary angles if their sum is 180 degree.
It is given that the provided angle are supplementary angles, thus
3x + 2x + 25 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 31
Now, substitute the value of x in first angle i.e 3x.
3(31) = 93
Substitute the value of x in the second angle i.e 2x + 25
2(31) + 25 = 62 + 25 = 87
Hence, the measure of smaller angle is 87 degrees.
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