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GarryVolchara [31]
3 years ago
7

If a semi-circle is rotated about the y-axis as shown below, what three-dimensional polyhedral would be formed? a Sphere b Cone

c Cylinder d Pyramid
Mathematics
2 answers:
KatRina [158]3 years ago
7 0

Answer:

a Sphere

Step-by-step explanation:

If a semicircle is rotated about the y-axis or the axis of its diameter, the three dimensional shape produced is a sphere. A sphere is a shape in three dimension that look like a ball and when drawn in two dimension it looks like a circle. The distance from any point on the sphere to its center is always the same. A sphere has only one surface without any edges or vertices, therefore it is perfectly symmetrical.

Svet_ta [14]3 years ago
5 0

Answer:

a

Step-by-step explanation:

there needs to have a graph or something to give an idea but i hope it helps you good luck.

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13 1/2 tall

Step-by-step explanation:

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What is a mixed number equivalent to 3.750
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A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
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Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

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\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

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S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

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