Ceiling Function is the least integer that is greater than or equal to x.
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,




c > 16.64
Therefore the smallest possible whole number is 17 inches.
(a) there are 8C2 = 28 ways of picking 2 girls from 8
And there are 21C4 = 5985 ways of picking 4 boys
Required number of ways for 2g / 4b = 28 * 5985 = 167,580
(b) at least 2 girls means combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or
6 girls.
2g/4b = 167,580 ways
3g/3b = 8C3 * 21C3 = 56 * 1330 = 74,480
4g/2b = 8C4* 21C2 = 70 * 210 = 14,700
5g 1b = 8C5* 21 = 56*21 = 1176
6 girls = 8C6 = 28
adding these up we get the answer to (b) which is 257,964
Answer:
m= -12
Step-by-step explanation:
-15m-30=-12m+6
-3m=36
m=-12
Answer:
and 
Step-by-step explanation:
We are given the term
.
<em>It is known that, 'A monomial is an algebraic expression consisting of one term'.</em>
So, we add the given options to
.
1. 
2. 
3. 
4. 
5. 
6. 
7. 
As, we can see that only option 2 and 6 results in an expression having one term.
Thus, adding
and
to
results in a monomial.