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castortr0y [4]
3 years ago
7

The ceiling of Victoria’s living room is a square that is 16√2 ft long on each side. To decorate for a party, she plans to h

ang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Victoria can buy rolls that each contain 25 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Mathematics
1 answer:
topjm [15]3 years ago
6 0

The minimum number of rolls that can be bought is 4.

The first step is to determine the perimeter of the ceiling and the length of its hypotenuse.

Perimeter of the ceiling = perimeter of a square = 4 x length = 4 x 16 = 64 ft

The hypotenuse is the distance from one corner of the ceiling to the other corner of the ceiling. The hypotenuse would be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

16² + 16²

= 256 + 256

= 512 feet

c = √512 = 22.6 feet

Total length =  22.6 feet + 64 feet = 86.63 feet

Minimum number of rolls = 86.63 / 25 = 3.46 = 4

To learn more, please check: brainly.com/question/25779356

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lapo4ka [179]

Answer: Rate of change of Area of the triangle = 2.75cm~/min

Step-by-step explanation:

If the present height of the triangle is 22cm and the height increases by 5cm/min. It means the height was 2cm four minutes earlier: 5cm for 1st min + 5cm for 2nd min + 5cm for 3rd min + 5cm for 4th min = 20cm after 4min.

Therefore height equals 22 - 20 = 2cm four minutes earlier.

Using the same four minutes for the base. Since the base shrinks at 1cm/min, for the base to shrink to 10cm it means it was 14cm four minutes earlier.

The Area of a triangle is given by

A = 1/2 × base × height

Therefore Area= 1/2× 10×22 = 110cm~

Since it took four minutes to get to this area, the rate of change of the area will be 110÷4 = 2.75cm~/min

3 0
3 years ago
The Volume of this triangular pyramid is 11140 cubic meters what is the value of u? Please help!!!
elixir [45]

Answer:

19

Step-by-step explanation:

10 x 19 = 190

190 divided by 2 = 95

95 x 12 = 1140

5 0
3 years ago
Translate the following statement into an inequality: Five less than a number is at least nine.
kirill [66]
X – 5 ≥ 9
x – 9 > 5
x – 5 > 9
x – 5 ≤ 9

4 0
4 years ago
On a particular flight, the airline's income was $95,280 for a jumbo jet carrying 290 passengers. If a first-class ticket costs
SIZIF [17.4K]

Answer:

30 first-class tickets were sold and 260 coach tickets were sold.

Step-by-step explanation:

Let a first-class ticket be represented by f and let a coach ticket be represented by c.

On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:

f+c=290

The total income was $95,280. Therefore:

680f+288c=95280

We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:

85f+36c=11910

From the first equation, we can subtract f from both sides:

c=290-f

Substitute:

85f+36(290-f)=11910

Distribute:

85f+10440-36f=11910

Simplify:

49f=1470

So:

f=30

From the previous equation:

c=290-f

Substitute:

c=290-30=260

30 first-class tickets were sold and 260 coach tickets were sold.

5 0
3 years ago
Martin rode his bike 60 miles in 5 hours what was the average distance he travled per hour?
ser-zykov [4K]

Answer:12 miles per hour

Step-by-step explanation:

60miles/5hours =12 miles per hour

5 0
3 years ago
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