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bazaltina [42]
2 years ago
15

It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.

Mathematics
1 answer:
ad-work [718]2 years ago
8 0

Answer:

B (cylinder)

Step-by-step explanation:

Two <u>circular</u> bases which are parallel and congruent :

This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.

The cube doesn't have any circular bases.

The sphere doesn't have any faces, nor edges.

A cone has a circular base, but it doesn't have two.

A cylinder has two circular bases, as well as they are parallel and congruent.

So, your answer is B (cylinder).

Hope this helped !

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inna [77]

Answer:

3t^2 + 8t + 2

Combine like terms

2 + 10t - 2t + 3t2

2+ 8t + 3t^2

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Members from 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, sec
Alex
<h3>Answer:  120 different ways</h3>

=======================================================

Explanation:

There are...

  • 6 ways to select the first place winner
  • 5 ways to pick the second place winner
  • 4 ways to pick the third place winner

We start with 6, and count down by 1 each time we fill up a slot. We stop once the third slot is filled or accounted for. The countdown is to ensure that we don't pick the same person twice. From here, multiply those values: 6*5*4 = 30*4 = 120

Interestingly, this is equal to 5! = 5*4*3*2*1 = 120 because the 3*2 becomes 6 and that *1 at the end doesn't affect things. Though usually results of permutation problems don't always end up like this. The order matters because a result like ABC is different from BAC, where A,B,C,D,E,F are the six school organizations.

As a slightly longer way to do the problem, you can use the nPr formula which is _nP_r = \frac{n!}{(n-r)!} where n = 6 and r = 3 in this case. The exclamation marks indicate factorial. If you go this route, you should find that one of the steps will involve 6*5*4.

4 0
3 years ago
What is the solution for the following system of equations?<br><br>5x + 7y = 3<br><br>2x + 3y = 1
spayn [35]
<span>A) 5x + 7y = 3
B) 2x + 3y = 1

Multiplying Equation B by -2.5
</span><span>B) -5x -7.5y = -2.5 Then adding this to Equation A)
A) 5x + 7y = 3</span>

-.5y  = .5
y = -1

Since
<span>2x + 3y = 1 then
2x -3 = 1
then x = 2

</span>
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3 years ago
Give at least five problems solving about area of a sector of a circle.
Katyanochek1 [597]

See below for the examples of sectors and arcs of a circle

<h3>Area of sector of a circle</h3>

The area of a sector is calculated as:

A = \frac{\theta}{360} * \pi r^2 ---- when the angle is in degrees

A = \frac{\theta}{2} *r^2 ---- when the angle is in radians

Take for instance, we have the following problems involving sector areas

Calculate the area of a sector where the radius of the circle is 7, and

  1. The central angle is 30 degrees
  2. The central angle is π/12 rad
  3. The central angle is 90 degrees
  4. The central angle is π/4 rad
  5. The central angle is 180 degrees

Using the above formulas, the sector areas are:

1. A = \frac{30}{360}* \frac{22}{7} * 7^2 = 12.83

2.  A = \frac{\pi}{12} * 7^2 = 12.83

3. A = \frac{90}{360}* \frac{22}{7} * 7^2 = 38.5

4. A = \frac{\pi}{2} * 7^2 = 38.5

5. A = \frac{180}{360}* \frac{22}{7} * 7^2 = 77

<h3>Examples of arc length</h3>

The length of an arc is calculated as:

L= \frac{\theta}{360} * 2\pi r ---- when the angle is in degrees

L = r\theta ---- when the angle is in radians

Take for instance, we have the following problems involving arc lengths

Calculate the length of an arc where the radius of the circle is 7, and

  1. The central angle is 30 degrees
  2. The central angle is π/12 rad
  3. The central angle is 90 degrees
  4. The central angle is π/4 rad
  5. The central angle is 180 degrees

Using the above formulas, the arc lengths are:

1. L = \frac{30}{360}* 2 * \frac{22}{7} * 7 = 3.7

2.  L = \frac{\pi}{12} * 7 = 3.7

3. L = \frac{90}{360}*2 * \frac{22}{7} * 7 = 11.0

4. L = \frac{\pi}{4} * 7 = 11

5. L = \frac{180}{360}*2 * \frac{22}{7} * 7 = 22

<h3>Examples of the arcs of a circle</h3>

The examples include:

  • A parabolic path
  • Distance in a curve
  • Curved bridges
  • Pizza
  • Bows

Read more about arc and sectors at:

brainly.com/question/15955580

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