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3 years ago

Draw and label a hexagonal prism then identify each of the following a. Parallel planes,b.skew lines,c. Intersecting planes

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

5 0

Explanation:

a) Opposite faces of a regular hexagonal prism are parallel. For each of the four "visible" numbered faces in the attachment, the opposite (parallel) face is not numbered.

b) Skew lines are ones that cannot reside in the same plane. They are not parallel and do not intersect. The blue arrows in the attached show an example of a pair of skew lines. Any of the base edges will be skew with any lateral face edge that it does not intersect. Any base edge will be skew with any non-parallel edge of the opposite base.

c) Any edge of the figure is where planes intersect. In general, any pair of planes that are not parallel will be intersecting planes. So, for each plane of the figure, there are 6 other intersecting planes. (The line where the planes intersect is not always shown.) For example, planes 1 and 2 in the figure are intersecting planes.

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Thepotemich [5.8K]

Answer:

Step-by-step explanation:

(qx^2-5qx-3)÷(x+2) gives remainder 14q-3

Equating remanders 14q-3=4

14q=7

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3 years ago

10) Gabe put up a fence around his rectangular vegetable garden this weekend.

dybincka [34]

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

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3 years ago

The surface area of a sphere is found using the formula SA=4πr^2, where r is the radius. If the surface area of a sphere is 64π

Setler79 [48]

The answer should be d
64pi=4pir^2
cancel the pi
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3 years ago

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Vanyuwa [196]

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2 years ago

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circ

Verizon [17]

Answer:

16. 3/8
17. 1/8
18. 5/18
19. 0
20. 1

Step-by-step explanation:

As per the spinner we have:

Green = 1/2 - 1/16 = 7/16
Red = 1/4
Purple = 1/8
Orange, blue, yellow = 1/16

16. P(red, yellow, blue) = ?

P = 1/4 + 1/16 + 1/16 = 3/8

17. P(orange, yellow) = ?

P = 1/16 + 1/16 = 1/8

18. P(green, blue, purple) = ?

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19. P(pink) = ?

P = 0 as no pink section

20. P(red, orange, yellow, green, blue, purple) = ?

P = 1 as all possible colors selected

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2 years ago