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fiasKO [112]
2 years ago
11

What is the surface area of this right rectangular prism with dimensions of 6 inches by 4 inches by 12 inches A. 324 B.256 C.288

D.512
Mathematics
1 answer:
VMariaS [17]2 years ago
6 0

Answer:

C

Step-by-step explanation:

(6 * 4 ) * 2 = 48

( 4 * 12 ) * 2 = 96

( 6 * 12 ) * 2 = 144

48 + 96 + 144  = 288

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8 0
3 years ago
Read 2 more answers
the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
777dan777 [17]

Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

__

The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0
3 years ago
On the last day of school the fifth grade class has a picnic at the city park. Exactly 182 students and 274 adults are signed up
mamaluj [8]

Answer:

38 Tables

Step-by-step explanation:

First, we need to add the number of students with the number of adults to get the total number of people attending the picnic.

182 + 274 = 456

Next, we divide that number by how many people fit at each table to find how many tables we need.

456 people ÷ 12 people at each table = 38 tables.

5 0
3 years ago
I don’t understand. and someone please help?
givi [52]

Solution:

<u>Note that:</u>

  • 6x + 26 = 92 (Vertically opposite angle)
  • 92 + 92 + z + z = 360

<u>Finding x.</u>

  • 6x + 26 = 92
  • => 6x = 92 - 26
  • => 6x = 66
  • => x = 11

<u>Finding z.</u>

  • 92 + 92 + z + z = 360
  • => 184 + 2z = 360
  • => 2z = 360 - 184
  • => 2z = 176
  • => z = 176/2 = 88
3 0
2 years ago
He mathematics department of a college has 6 male​ professors, 8 female​ professors, 14 male teaching​ assistants, and 7 female
irinina [24]
Total number of people in the department = 6 + 8 + 14 + 7 = 35
Total males = 6 + 14 = 20
Total female professor = 8
Total males or professor = 20 + 8 = 28

P(\text {male or professor}) =  \dfrac{28}{35} =  \dfrac{4}{5}

\boxed {\boxed {\text {Answer: P(male or professor) = }\dfrac{4}{5} }}
3 0
3 years ago
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