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Molodets [167]
2 years ago
10

A figure is located at (2, 0), (2, -3), and (5, 0) on a coordinate plane. What kind of 3-D shape would be created if the figure

was rotated around the x-axis? Include the dimensions of the 3-D shape.
Answer: 3-D Shape: _____ Height: _____ Diameter: _____

Mathematics
1 answer:
expeople1 [14]2 years ago
5 0

When the shape is rotated around the x-axis, a 3-D shape would be formed

The 3-D shape is a tetrahedron with radius 2 and height 4

<h3>How to determine the 3-D shape?</h3>

The coordinates of the figure are given as:

(2, 0), (2, −3), and (5, 0)

The above coordinates represent a triangle that has one of its sides on the x-axis.

So, when the shape is rotated across the axis, the other two lines would make a diagonal the side on the x-axis.

This movement would form a tetrahedron with the following dimensions

  • Height = Distance (2, 0) and (5, 0) i.e. 3 units
  • Radius = Distance (2, 0) and (2, −3) i.e. 3 units

Hence, the 3-D shape is a tetrahedron with radius 3 and height 3

Read more about three dimensional shapes at:

brainly.com/question/12280037

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Help me with this please
kolbaska11 [484]

Answer:

5

Step-by-step explanation:

                 

3 0
3 years ago
a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately norm
Klio2033 [76]
A score of 85 would be 1 standard deviation from the mean, 74.  Using the 68-95-99.7 rule, we know that 68% of normally distributed data falls within 1 standard deviation of the mean.  This means that 100%-68% = 32% of the data is either higher or lower.  32/2 = 16% of the data will be higher than 1 standard deviation from the mean and 16% of the data will be lower than 1 standard deviation from the mean.  This means that 16% of the graduating seniors should have a score above 85%.
3 0
3 years ago
Please help me :)))))
svetoff [14.1K]
Part a)

Answer: 5*sqrt(2pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi

Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"

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

Part b)

Answer: 3*sqrt(3pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi

Note: the same issue comes up as before in part a)

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

Part c)

Answer: sqrt(19pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
8 0
3 years ago
Read 2 more answers
There are 16 entrees available at a restaurant. From these, Archie is to choose 6 for his party. How many groups of 6 entrees ca
Vikki [24]

Answer:

8008

Step-by-step explanation:

This is the selection of 6 elements out of 16 elements. Applying the combination formula, the total number of selections is nCr with n =16 and r =6.

16C6 = 8008

3 0
3 years ago
Julian is trying to decide on a future career. He has narrowed down his choices to orthodontist, sound engineering technician, p
Alenkasestr [34]

Percentage is the way to represent the part of a whole in a fraction of 100.The greatest percent of the increase in the number of jobs from 2006 to 2016 is orthodontist which is 10.94 percent.

<h3>Given-</h3>

In the given table we have to find out the percent of the increase in the number of each job to find out the greatest one.

<h3>Percentage</h3>

Percentage is the way to represent the part of a whole in a fraction of 100.

1-Orthodontist-

In 2006 the total number of orthodontists was 9206.

In 2016 the total number of orthodontists was 10214

Percent of increase in this job is,

p_{1} =\dfrac{10214-9206}{9206}\times100

p_{1} =10.94%

Hence, percent of the increase in this job is 10.94 present.

2-Sound engineer technician-

In 2006 the total number of Sound engineer technicians was 16125

In 2016 the total number of Sound engineer technicians was 17864

Percent of increase in this job is,

p_{2} =\dfrac{17864-16125}{16125}\times100

p_{2} =10.78%

Hence, percent of the increase in this job is 10.78 percent.

3-Police officer-

In 2006 the total number of Police officers was 648982

In 2016 the total number of Police officers was 719041

Percent of increase in this job is,

p_{3} =\dfrac{719041-648982}{648982}\times100

p_{3} =10.79%

Hence, percent of the increase in this job is 10.79 percent.

4- Editor-

In 2006 the total number of Editors was 122273

In 2016 the total number of Editors was 124135

Percent of increase in this job is,

p_{2} =\dfrac{124135-122273}{122273}\times100

p_{4} =1.52%

Hence, percent of the increase in this job is 1.52 percent.

Hence, the greatest percent of the increase in the number of jobs from 2006 to 2016 is orthodontist which is 10.94 percent.

Learn more about the percentage here;

brainly.com/question/21230679

4 0
3 years ago
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