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Gemiola [76]
1 year ago
15

Consider the line 3x - 4 y = 7.

Mathematics
1 answer:
Trava [24]1 year ago
3 0

Answer:

The slope of a line perpendicular to this line is -1/3. The slope of a line parallel to this line would be 3.

Step-by-step explanation:

Perpendicular lines have opposite(sign) and reciprocal slopes.

Parallel lines have the same slope.

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A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
The United states has 12,383 miles of coastline. If 0.8%of the coastline is located in george, about how many miles of boasting
Vladimir [108]
The answer is that there is a proximity 10 miles of coast 9.904... it be exact 
6 0
3 years ago
What are the sine, cosine, and tangent of circle = 3pi/4 radians?
KengaRu [80]

if  you don't have a Unit Circle yet, this is a good time to get one, you can find many online, check maybe in yahoo images, or google images.

Check the picture below.

notice the section encircled in purple.

7 0
3 years ago
Write a word phrase for the expression 10+(6-4)
WARRIOR [948]

Answer:

Ten added to the difference of six and four. Or, the difference of six and four added to ten.

Step-by-step explanation:

5 0
3 years ago
Lin’s teacher uses a box to store her set of cubes with an edge length of 1/2 inch if the box is completely full how many cubes
Sauron [17]
Answer:
448 cubes
Step-by-step explanation:
Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.
Since, volume of a cube = (Side)³
Side of the cube = 1/2 inch
Therefore, volume of the cube = (1/2)3=1/8 inches
Volume of the storage box = 56 cubic inches
Since, number of cubes fitted in the storage box
= 56/1/8
= 56 × 8
= 448 cubes
Therefore, number of cubes fitted in the storage box = 448
4 0
3 years ago
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