1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
skelet666 [1.2K]
3 years ago
7

There's a width of 8 in., a length of 20 in., and a height of 12 in.

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

a.

Approximately 24.7\; \rm in.

b.

While there are three diagonals in a box (a rectangular prism,) all three diagonals goes through the same point- the centroid of this box.  

For a maximum-length poster to fit in this box, it would have to be on one of the main diagonals of this box. Hence, any maximum-length poster that fits in this box would go through the centroid of this box.

It's not possible to force more than one posters to go through the same point (i.e., the centroid) in space. Hence, it would not be possible to fit a second maximum-length poster into this box.

This argument does not apply to  21.5\; \rm in posters. These posters are shorter than the diagonal of this box; they could fit inside the box without having to go through a particular point in space.

Step-by-step explanation:

The longest poster that could be fit into this box (a rectangular prism) would be as long as the longest line segment in this box. That line segment would be one of the three diagonals of this box.

Apply the Pythagorean theorem twice to find the length of that diagonal.

Start by finding calculating the diagonal of the base of this box. The base of this box is a rectangle with width 8\; \rm in and length 10\; \rm in. The length of its diagonal would be \sqrt{8^2 + 10^2} inches.

Combine that with the height of this box to find the length of the diagonal of this box.

\begin{aligned}& \sqrt{{\left(\sqrt{8^2 + 10^2}\right)}^2 + 12^2  \\ &= \sqrt{8^2 + 10^2 + 12^2} \\ &\approx 24.7 \end{aligned}.

You might be interested in
Use the figures above how many of each shape can be found when decomposed to find the area?
MrMuchimi
Figure 1  3 rectangles

Figure 2   2 rectangles, 1 triangle

Figure 3    1 rectangle  1 semicircle
4 0
3 years ago
1/3 + a + 5/4. what is A
USPshnik [31]

Answer:

a = -1.58

Step-by-step explanation:

1/3 +a+5/4 =0

1/3+5/4= -a

4+15/12 = -a

19/12 = -a

1.58= -a

1.58/-1 = -a/-1

-1.58 = a

6 0
3 years ago
How long will it take a $800 investment to be worth $900 if it is continuously compounded at 11% per year?
Kruka [31]
The formula is
A=p e^rt
A future value 900
P present value 800
E constant
R interest rate 0.11
T time?

We need to solve for t
T=[log (A/p)÷log (e)]÷r
T=(log(900÷800)÷log(e))÷0.11
T=1.07 years round your answer to get 1 year
3 0
3 years ago
Pla help good amount of points will mark brainest
enot [183]

Answer:

1) the general trend is skewed left because there is more data towards the left of the graph, there are more 1's 2's 3's and 4's than there are of any number on the right of the graph.

2) the median is 3 1122233344567 mark off numbers on either side one by one until you get to the center number which is the median

3) add up all the numbers divide by the number of numbers you have which is 13. you end up with 53/13 which is equal to 4.1

4) the mean because if you added 15 to the end of the data set the median would still be 3 but if you added 15 to the mean the mean would jump to 4.9

Step-by-step explanation:

its all explained for you, i hope this helps

3 0
3 years ago
I've got a question I think I've got right. Want to be sure tho
anygoal [31]
<h3>Answer: Choice B is correct</h3>

Explanation:

Theoretically, we expect "6" to show up once every 6 rolls assuming we have a fair die. So about 1/6 = 0.17 = 17% of the time.

The table on the other hand shows "6" showing up 14 times out of 100 to get an experimental probability of 14/100 = 0.14 = 14% which is 3 percentage points less than the theoretical estimate.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Text me the answer please
    11·2 answers
  • The two prisms below are similar. What is the value of x?<br><br> A. 30<br> B. 1<br> C. 9<br> D. 3
    15·2 answers
  • There is a pattern (2,4) (4,6) (6,9) (8,12) what is the 8th group
    8·2 answers
  • What percent is the change in the price if: a The price was $100 and now it is $1250?
    9·1 answer
  • Do you know the answer
    7·1 answer
  • ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ b(1)=−2 b(n)=b(n−1)−7 ​ Find the 3 rd 3 rd 3, start superscript, start text, r, d, end text, end superscript ter
    12·1 answer
  • What is 100 divide bye 257? please explain your answer
    11·2 answers
  • What is the unit rate for cats per dog if there's 72 cats and 12 dogs
    6·2 answers
  • Toán cao cấp, giải tích..............
    7·1 answer
  • For every 10 tickets to a horror movie that a popular movie theater sells, they sell 9 tickets to a comedy movie. If they sold 5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!