Describe the shape resulting from a vertical, angled, and , horizontal cross section of a rectangular prism.

Answers

Answer 1

Answer:

The shapes formed by vertical, angled, and horizontal cross-section of a rectangular prism are: vertical: rectangle, horizontal: rectangle and angled: parallelogram

What is a cross-section of an object?

A cross-section of a solid is a plane figure obtained by the intersection of that solid with a plane. The cross-section of an object therefore represents an infinitesimal "slice" of a solid, and may be different depending on the orientation of the slicing plane.

Given is a rectangular prism, we need to define its cross-section

The vertical and horizontal cross-section are fairly straight forward. They are simply mirror images of the outward showing faces.

The angled cross-section is a bit more complicated and there's a lengthy proof involved, but long story short, the angled cutting plane divides the 3D solid such that we have 2 sets of lines that have the same slope (if we consider a 2D view), which leads to 2 sets of parallel sides.

Hence, the shapes formed by vertical, angled, and horizontal cross-section of a rectangular prism are: vertical: rectangle, horizontal: rectangle and angled: parallelogram

Learn more about cross-section, click;

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Answer 2

Answer: For example, lets say:
L = 10
H = 6
W = 4

Imagine the shape is facing slightly towards your left
A left vertical cross section (perpendicular to the base) of the cuboid would result in a 10 by 6 rectangle
A right vertical cross section (perpendicular to the base) of the cuboid would result in a 6 by 4 rectangle
A horizontal cross section (parallel to the base) of the cuboid would result in a 10 by 4 rectangle
An angled cross section (through the middle) would also give a rectangle but the dimensions would be different. If the cut went from one '4' edge to the one in the opposite corner, the length of that would be found using Pythagoras
a² + b² = c²
6² + 10² = c²
36 + 100 = 136
√136 ≈ 11.66cm
11.66 by 4 rectangle

The shows that the resulting shape will always be a rectangle for these cross sections.
The only case in which it would not, would be if one of the faces of the cuboid was a square - in which case one of the cross sections would also be a square.

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Solve 2(x−5)^1/3=−16

Answers

Answer:

x = − 19

Hope it helps

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Thank you

please help :) Geography doesn’t simply begin and end with maps showing the location of all the countries of the world. In fact, such maps don’t necessarily tell us much. No—geography poses fascinating questions about who we are and how we got to be that way, and then provides clues to the answers. ~Kenneth Davis The speaker in the passage above is stating that a. maps are not helpful to historians. b. human geography is more important than physical geography. c. historians want to know where people settled. d. physical features and locations tell historians about the ways people lived.

Answers

Answer:

d. physical features and locations tell historians about the ways people lived.

Step-by-step explanation:

I believe this is the correct answer

you have 12 balloons to blow up for a party.You blow up 1/3 of them and your friend blows up five of them.What fraction of the balloons need to be blown up

Answers

Given:
12 balloons
1/3 I blew up
5 my friend blew up.

1/3 * 12 = 12/3 = 4
4 + 5 = 9 number of balloons blown up.

12 - 9 = 3 number of balloons that need to be blown up.

3/12 = 1/4 is the fraction of the balloons needed to be blown up.

Answer:

1/4

Step-by-step explanation:

I know that 700 ÷ 70 = 10 because the 7 in 700 represents
times what it represents in?

Answers

100 because 100 x 7 = 700.

Two bicyclists leave the center of town at the same time. One heads due north and the other heads due west. Later, the two cyclists are exactly 25 mi apart. The cyclist headed north has traveled 5 mi farther than the cyclist going west.How far has the cyclist going west traveled?

Answers

Answer:

Distance traveled by bicyclist traveling west = 15 miles

Step-by-step explanation:

These two cyclists travel at angle 90°

Relative displacement can be calculated using Pythagoras theorem.

Let d be the distance traveled by bicyclist traveling west

Distance traveled by bicyclist traveling north = d + 5

$25^2=d^2+(d+5)^2\n\nd^2+d^2+10d+25=625\n\n2d^2+5d-600=0\n\nd^2+5d-300=0\n\nd=(-5\pm √(5^2-4* 1* (-300)))/(2* 1)\n\nd=(-5\pm √(25+1200))/(2)\n\nd=(-5\pm √(1225))/(2)\n\nd=(-5\pm 35)/(2)\n\nd=15miles\texttt{ or }d=-20miles$

Negative displacement is not possible.

Hence d = 15 miles

Distance traveled by bicyclist traveling west = d = 15 miles

This situation is represented in annex.
From Pythagorean theorem you've got equation:
$x^2+(x+5)^2=25 \n \n \hbox{From formula} \ \ \ (a+b)^2 = a^2+2ab+b^2: \n \n x^2+x^2+10x+25=25 \n 2x^2+10x=0 \n \n \hbox{Factor out} \ \ 2x: \n 2x(x+5)=0 \n \n \hbox{So you've got:} \n \n x_1=0 \n x_2=-5$

There isn't any solutions where x>0, so this situation is IMPOSSIBLE.

Did you write correctly this question....?

Asking again for your help! I really don't understand!

Answers

Answer: y≤4x+3 and y≤-3x-5

Step-by-step explanation:

The slope of the first line is 4. The slope of (-1,-1) and (0,3) is 4. And the line passes through 3, so the y-intercept is 3.

The slope of the second line is 3. The slope of (-3,4) and (-1,-2) is -3. And the line passes through -5, so the y-intercept of the second line is -5

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