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
jeka57 [31]
3 years ago
6

At a museum 100 posters are displayed in each of four rooms altogether how many posters are displayed

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
5 0
25 posters in each room.
You might be interested in
What is the measurement of the longest line segment in a right rectangular prism that is 26 inches long, 2 inches wide, and 2 in
EastWind [94]

Answer:

6\sqrt{19} \approx 26.153 inches.

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment \mathsf{AG}.

In this diagram (not to scale,) \mathsf{AB} = 26 (length of prism,) \mathsf{AC} = 2 (width of prism,) \mathsf{AE} = 2 (height of prism.)

Pythagorean Theorem can help find the length of \mathsf{AG}, one of the longest line segments in this prism. However, note that this theorem is intended for right triangles in 2D, not the diagonal in a 3D prism. The workaround is to simply apply this theorem on two different right triangles.

Start by finding the length of line segment \mathsf{AD}. That's the black dotted line in the diagram. In right triangle \triangle\mathsf{ABD} (second diagram,)

  • Segment \mathsf{AD} is the hypotenuse.
  • One of the legs of \triangle\mathsf{ABD} is \mathsf{AB}. The length of \mathsf{AB} is 26, same as the length of this prism.
  • Segment \mathsf{BD} is the other leg of this triangle. The length of \mathsf{BD} is 2, same as the width of this prism.

Apply the Pythagorean Theorem to right triangle \triangle\mathsf{ABD} to find the length of \mathsf{AB}, the hypotenuse of this triangle:

\mathsf{AD} = \sqrt{\mathsf{AB}^2 + \mathsf{BD}^2} = \sqrt{26^2 + 2^2}.

Consider right triangle \triangle \mathsf{ADG} (third diagram.) In this triangle,

  • Segment \mathsf{AG} is the hypotenuse, while
  • \mathsf{AD} and \mathsf{DG} are the two legs.

\mathsf{AD} = \sqrt{26^2 + 2^2}. The length of segment \mathsf{DG} is the same as the height of the rectangular prism, 2 (inches.) Apply the Pythagorean Theorem to right triangle \triangle \mathsf{ADG} to find the length of the hypotenuse \mathsf{AG}:

\begin{aligned}\mathsf{AG} &= \sqrt{\mathsf{AD}^2 + \mathsf{GD}^2} \\ &= \sqrt{\left(\sqrt{26^2 + 2^2}\right)^2 + 2^2}\\ &= \sqrt{\left(26^2 + 2^2\right) + 2^2} \\&= 6\sqrt{19} \\&\approx 26.153\end{aligned}.

Hence, the length of the longest line segment in this prism is 6\sqrt{19} \approx 26.153 inches.

5 0
3 years ago
A boat traveled 308 miles each way downstream and back. The trip downstream took 11 hours. The trip back took 22 hours. Find the
photoshop1234 [79]

Answer:

speed of boat is 12 miles per hour and the speed of current is 9 miles per hour

Step-by-step explanation:

8 0
3 years ago
Please answer this correctly
TiliK225 [7]

Answer:

22 meters

Step-by-step explanation:

Area of yellow rectangle: 6x4=24

Area of gray rectangle: 8x=24

x=3

Thus, the perimeter is 3+3+8+8, which is 22.

5 0
3 years ago
Read 2 more answers
What are the steps for solving a absolute value equation.
Mamont248 [21]

Step 1: Isolate the absolute value

Step 2: Is the number on the other side of the equation negative?

Step 3: Write two equations without absolute value bars

Step 4: Solve both equations

8 0
3 years ago
How do you simplify the expression 7 - 2(2 + 5) -8?
krek1111 [17]
7 - 2 (7) -8
7 - 14 - 8
7-14= -7
-7 - 8 = - 15
May have messed this one up
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution to the system of equation? Y=-5x+3 y=1
    7·2 answers
  • What is the quotient 2.56/100
    11·1 answer
  • How much of a 14% solution of iodine should be added to 89 ounces of a 47% iodine solution to get a 29% solution
    9·1 answer
  • Calculate the distance between (5, 3) and (-1, 6). Round your answer to the nearest tenth if necessary. (One place after the dec
    9·1 answer
  • If f(x)=x^2-5x and g(x)=8-x^3, evaluate the following:
    9·1 answer
  • Domain of (1)/(x^(2)+5x)
    14·1 answer
  • What’s the unit rate of 4,500 kilobytes in 6 minutes
    11·1 answer
  • I need help with solving this derivative please (check for picture)
    13·1 answer
  • C. Ms. James buys her sugar in 5-pound bags. She wants to buy enough sugar to make 12 batches of cookies for the school bake sal
    11·1 answer
  • Is a graph of a slanted line a one-to-one function? Justify your answer.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!