The '4' marked in the cut-out must be its width, because it can't be the height ... the height of the cut-out must be 3. / / / The area of the entire big rectangle is 12 x 14 = 168. The area of the little cut-out is 4 x 3 = 12. The area left is 168 - 12 = 154 ./ / / By the way ... if you're not getting many answers, it's because your drawings are unreadable. Put away the big orange marker and use a ballpoint pen instead.

6 0

3 years ago

There are 20 dowels. All bevels are dowels. All dowels are swivels. There are 12 bevels. There are 30 swivels. How many swivels

Zina [86]

Answer:

10 swivels are neither bevels or dowels

Step-by-step explanation:

See the attached for explanation

7 0

3 years ago

Read 2 more answers

There are 8 members on a board of directors. if they must form a subcommittee of 6 members, how many different subcommittees are

Shtirlitz [24]

1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.

2. Where C(n, r)= $\frac{n!}{r!(n-r)!}$

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.

4. Or we could do this with the formula C(3, 2)= $\frac{3!}{2!(1)!}= \frac{3*2*1}{2*1}=3$

5. C(8, 6)= $\frac{8!}{2!6!}= \frac{8*7*6!}{2*6!}= \frac{8*7}{2}= 4*7=28$

So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees. <span />

5 0

3 years ago