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evablogger [386]
3 years ago
14

Find the surface area of the prism.​

Mathematics
1 answer:
Lunna [17]3 years ago
8 0

Step-by-step explanation:

area of the base is the area of the rectangle 5×12.

B = 5×12 = 60 in²

the height h is then the side going up from that base rectangle : 4 in.

the perimeter of the base (rectangle) is 2×length + 2×width

P = 2×12 + 2×5 = 24 + 10 = 34 in.

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A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If8 flutists try out, and 11 trumpeters
tensa zangetsu [6.8K]

A town orchestra needs 3 new flute players and 4 new trumpet players. 8 flutists and 11 trumpeters try out, then the orchestra should select 3 flutists from 8 and 4 trumpeters form 11.

They can choose 3 flutists from 8 in

C_8^3=\dfrac{8!}{3!(8-3)!}=\dfrac{8!}{3!\cdot 5!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7\cdot 8}{1\cdot 2\cdot 3\cdot 1\cdot 2\cdot 3\cdot 4\cdot 5} =56 ways.

They can choose 4 flutists from 11 in

C_{11}^4=\dfrac{11!}{4!(11-4)!}=\dfrac{11!}{4!\cdot 7!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7\cdot 8\cdot 9\cdot 10\cdot 11}{1\cdot 2\cdot 3\cdot 4\cdot 1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7} =330 ways.

Use the product rule: 56·330=18480 ways for conductor to choose his new members.

3 0
3 years ago
How to find common difference of arithmetic sequence given first and last term?
scoundrel [369]
Yeah there is a way... Lemme give a typical question...
Find the common difference of an arithmetic progression whose first term Is 1 and last term is 1023...

First term = T¹ =a
Last term = Tn = a + (n-1)d

Since your given the values of the first and the last term... You can substitute

Tn = 1 + (1023-1)d

1023 = 1 + 1022d

1022d = 1023 - 1

1022d = 1022

common difference = 1...

So there is a way....

You can get the common difference using the two terms given...

Hope this helped...

8 0
3 years ago
How to do quadratic formula
Dmitry [639]

Answer:

idk

Step-by-step explanation:

7 0
4 years ago
Please answer this question for branliest i really need it and don’t just answer for points tysm
kvasek [131]

Answer:

D i believe.

Step-by-step explanation:

P.S. if im wong im really sorry, its been awhile since ive had to do that. But honestly i think its D. also comment on this if im right or wrong pls, id like to know.

7 0
3 years ago
Read 2 more answers
Find all angle measures in the diagram
ycow [4]

Answer:

Step-by-step explanation:

Angles 3x+5, 75 and x all together make up 180 degrees (review "straight angles").

Thus, 3x + 5 + 75 + x = 180

Simplifying the left side, we get:

4x + 80 = 180, so that 4x = 100, and x = 25.

<KJL = 3(25) + 5 = 80 degrees

<NJM = 25 degrees

<MJL = 75 degrees

7 0
3 years ago
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