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Akimi4 [234]
3 years ago
14

Which of the following three-dimensional figures is formed when an equilateral triangle is rotated around the x-axis of the coor

dinate plane? A)sphereB)cylinderC)cube
D)cone
Mathematics
2 answers:
VMariaS [17]3 years ago
5 0
I think that the D. CONE is the three-dimensional figure that will be formed when an equilateral triangle is rotated around the x-axis of the coordinate plane.

<span>A sphere is defined as the set of all points in space that are a fixed distance from a common point, the center.
</span>
<span>A cylinder is with two parallel congruent circular faces whose cross sections (taken parallel to these circular faces) are circular.
</span>
<span>A cube is a rectangular prism whose faces are squares.</span>
bogdanovich [222]3 years ago
4 0

Answer:

option D)

Step-by-step explanation:

when a equilateral triangle  is rotated about x-axis

rotating equilateral triangle about x-axis will lead to the formation of cone in.

the height of the equilateral triangle  will represent height of the cone.

the base of the equilateral triangle will represent the circular base of the cone

and the slant height of the cone will represented by the sides.

hence, the correct answer will cone which is option D)

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In the math problem, "450 is 75% of what number?" 450 is the ___.
Anni [7]

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600

Step-by-step explanation:

Since 3/4 of 100 is 75, we have to divide 450 by three.

450 ÷ 3 = 150

150 x 4 = <em><u>600</u></em>

<em><u /></em>

<em>                                                </em><em><u>Hope this helps :)</u></em>

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6 0
3 years ago
Read 2 more answers
I got the first two can you help me with the last one PLZ
Nat2105 [25]

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

a_1 =6\\a_2 = 18\\a_3 = 54

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

a_n = a_{n-1} * r

In case of given sequence,

a_n = a_{n-1} * 3

So to find the 5th term

a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

a_n = a_1 * r^{n-1}

Putting the values of a_1 and r

a_n = 6 * (3)^{n-1}

Hence,

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

4 0
3 years ago
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