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3 years ago

Which of the following terms correctly describe the figure given below?

Mathematics

2 answers:

Alexxandr [17]3 years ago

8 0

Answer:

Option (a), (d) and (f) are correct.

The given figure is a Prism, Polyhedron and solid.

Step-by-step explanation:

Given: A figure.

We have to choose the terms from the given options that correctly describes the given figure.

Since, The given figure is having both base and top as triangle.

Thus, When a figure having identical base and top and same cross section along its length , then it is a prism.

A three dimensional figure having length, width and height is called solid figures.

When a figure having polygons (two dimensional figures) on its faces, then it is called polyhedron.

So, the given figure is a Prism, Polyhedron and solid.

Vedmedyk [2.9K]3 years ago

5 0

The figure is correctly described by
A Prism
D Solid
F Polyhedron*

_____
* By one definition, a polyhedron has "typically more than 6" plane faces bounded by polygons and joined at the edges. This figure has 5, so could be argued not to have enough faces to qualify as a polyhedron.

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Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 3 minutes. When taking

Alenkinab [10]

Answer:

1.96 planes

Step-by-step explanation:

The computation of the number of planes is shown below:

As we know that

System Inventory is

= Flow rate in the system × Throughput time

where,

Flow rate is

= Frequency of taken off

= 16 planes ÷ hour

= 16 ÷ 60 Planes per minute

Throughput time is

= runway waiting time + runway Run time

= 33 seconds + 6 minutes × 60 seconds + 48 seconds

= 441 seconds

= 441 per 60 seconds

Therefore the number of planes is

$= \frac{441}{60} \times \frac{16}{60}$

= 1.96 planes

4 0

3 years ago

Black Diamond Ski Resort charges $50 for ski rental and $15 an hour to ski. Bunny Hill Ski Resort charges $75 for ski rental and

andrew11 [14]

Answer:

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

Step-by-step explanation:

Black Diamond: ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.

Bunny Hill: ChargeBH(h) = $75 + ($10/hr)h

We equate these two formulas to determine when the cost of using the ski slopes is the same:

ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h

We must now solve for h, the number of hours spent skiing:

50 + 15h = 75 + 10h

Grouping like terms, we obtain:

5h = 25, and so h = 5 hours.

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

3 0

3 years ago

(8m-3n)^2 - (4m+3n)^2

natulia [17]

Answer:

$48m^2-72mn$

Step-by-step explanation:

We need to solve $(8m-3n)^2 - (4m+3n)^2$

We know that,

$(a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab$

Using the above formula,

$(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn$

So, the final answer is $48m^2-72mn$ .

4 0

3 years ago

Five water bottles and 2 sodas cost $5.57

yarga [219]

Answer:

yes yes they do lol

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP!!!!! 20 POINTS!!!

EastWind [94]

Answer:

(x+4)(x+1)(2x-1)

Step-by-step explanation:

factors should have minus sign

(x+4)(x+1)(2x-1)

4 0

4 years ago