You have decided to wallpaper your rectangular bedroom. the dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inches high. the room has two windows, each 4 feet by 3 feet and a door 7 feet by 3 feet. determine how many rolls of wallpaper are needed to cover the walls, allowing 10% for waste and matching. each roll of wallpaper is 30 inches wide and 30 feet long. how many rolls of wallpaper should be purchased?

Answers

Answer 1
Answer: The wall area is the product of the room perimeter and the room height:
   A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²

The window and door area together is
   A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²

The area of one roll of wallpaper is
   A₃ = (2.5 ft)*(30 ft) = 75 ft²

Then the number of rolls of wallpaper required will be
   1.1*(A₁ - A₂)/A₃ ≈ 4.74

5 rolls of wallpaper should be purchased.

_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).

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Two adjacent angles form a right angle. The larger angle is 3 times the measure of the smaller angle. Which is the measure of the larger angle?This means the angles are in a ratio of 1:3.

A. 67.5°
B. 30°
C. 22.5°
D. 45°

Answers

The angles is B: 30 degrees

Answer:

B. 30

Step-by-step explanation:

This graph shows a proportional relationship.What is the constant of proportionality?
Enter your answer in the box.

Answers

Hey, this is worked out the same way as the last problem you posted!

Remember that constant of proportionality is slope...

(y2-y1) ÷ (x2 -x1)

(225 - 135) ÷ (5 - 3)

90 ÷ 2

45

The constant of proportionality is 45

Which expression best represents the cube

Answers

Step-by-step explanation:

The following is a list of perfect Cubes

13 = 1

23 = 8

33 = 27

43 = 64

53 = 125

63 = 216

73 = 343

83 = 512

93 = 729

103 = 1000

If a variable with an exponent has an exponent which is divisible by 3 then it is a perfect cube. To get the cube root, we simply divide the exponent by 3. For example x9 is a perfect cube, its cube root is x3 . x11 is not a perfect cube.

Michelle bought five packs of crayons for $13.75.What is the cost of a pack of crayons, in dollars, if all the packs cost the same?

Help please :/

Answers

Answer:

$68.75

Step-by-step explanation:

$13.75 times 5 crayon boxes

Which statements about geometric sequences are correct? Check all that apply. In a geometric sequence, the ratio between each of the consecutive terms is the same, or constant. Multiply the common ratio by the last term to extend a geometric sequence.
The sequence 2, 8, 32, 128, . . . is geometric.
The sequence 5, 10, 15, 20, . . . is geometric.
The sequence 3, 18, 108, 648, . . . is geometric.

Answers

Answer:

1,2,3,5

Step-by-step explanation:

I don’t know what answer to put for increasing and decreasing.

Answers

Answer:

Increasing: (2, ∞) Decreasing: (-∞,2)

Step-by-step explanation:

Think of the parabola (just for visualization purposes) as the direction of a rubber ball being thrown from above. The ball starts to decrease in position, eventually hitting the ground, and then starts to increase back to the orginal height and beyond.

So, because parabolas extend infinitely in both the positive and negative direction, we can use intervals to express the parts of the graph where it increases and decreased.


The minimum value point, or vertex is the point where the parabola changes direction. The vertex is visibly at (2,-4). So, the interval for decreasing would be (-∞,2) and increasing would be (2,∞)

Note: We use the symbol "[" to indicate that a value is included in the interval.

Because infinity is a concept and not a number, we have to use the non-inclusive version of it: "(" (simple parentheses) to indicate that infinity is NOT included in the interval, but it simply keeps extending in both directions.

I hope this helps you out.