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3 years ago

GEOMETRY. PLS HELP ASAP.... How can you verify Euler’s formula for this net of a cube?

Mathematics

1 answer:

Tomtit [17]3 years ago

4 0

The above figure can be formed into a cube.

This is for any polyhedron that does not intersect itself. The Euler's formula states that the number of faces plus the number of vertices or corner points less the number of edges is always equal to 2.

Faces + Vertices - Edges = 2

A cube has 6 faces, 8 vertices, and 12 edges.

Euler's formula: 6 + 8 - 12 = 2 ⇒ 14 - 12 = 2 ⇒ 2 = 2

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The foot of a ladder is placed 6 feet from a wall if the top of the ladder rests 8 feet up on the wall how long is the ladder?

Vlada [557]

Try to imagine this word problem, there is a wall and a ladder leaning against it, the space from the bottom of the ladder is labeled 6 and the length of the height the ladder reaches on the wall is 8. Imagine this as a right triangle now, where the length of the ladder is the hypotenuse and the length of the legs of the triangle is 6 and 8. Because we know this, we can use the Pythagorean theorem, a^2+b^2=c^2
We then plug in the values and you get 6^2+8^2=c^2
When you simplify, you get 36+64=c^2 which is c^2=100
When you solve for c, you get c=10 which would be the length of the ladder :)

4 0

3 years ago

Read 2 more answers

An olympic hurdler accelerates at a rate of 15.5 m/s2 . what is the rate in miles/min2 ? 1. 6.89 miles/min2 2. 31.8 miles/min2 3

Tom [10]

For this case we have to take into account the following conversions:
$1 mile = 1609.34 meters

1 minute = 60 seconds$
Let's first transform the expression to miles per seconds squared:
$(15.5) * (1 / 1609.34) = 0.009631277 mi / s ^ 2
$
Then, we transform the result to miles per minute squared.
We have then:
$(0.009631277) * (60) ^ 2 = 34.7 mi / min ^ 2
$
Answer:
the rate in miles/min^2 is:
$34.7 mi / min ^ 2$

3 0

3 years ago

Help? Anything can help I’m in a rush

devlian [24]

Answer: A vertical line from (-5 , 4 ) to (5 , 4)

Step-by-step explanation: The y axis is the vertical one. Go up 4 and draw a line connecting all the points with 4 in the coordinates.

Hope that helps :)

8 0

2 years ago

Read 2 more answers

The Ferris wheel shown makes 16 revolutions per ride. How far would someone travel during one ride? Round your final answer to t

sertanlavr [38]

Complete question :

The diameter of the ferris Given is 63 feets

Answer:

3165 feets

Step-by-step explanation:

Given that :

Diameter of ferris = 63 feets

Recall :

Circumference of a circle = 2 * pi * Radius

Circumference = pi * d

Hence,

Circumference of wheel = 3.14 * 63 = 197.82 feets

Distance traveled during one ride :

Circumference of wheel * number of revolutions

197.82 * 16 = 3165.12

= 3165 feets (nearest whole number)

4 0

3 years ago

What is the value of x? 3x - x + 4 = 4(2x - 1)

Anton [14]

3x−x+4=4(2x−1)
Step 1: Simplify both sides of the equation.3x−x+4=4(2x−1)Simplify: (Show steps)2x+4=8x−4Step 2: Subtract 8x from both sides.2x+4−8x=8x−4−8x−6x+4=−4Step 3: Subtract 4 from both sides.−6x+4−4=−4−4−6x=−8Step 4: Divide both sides by -6.−6x/−6=−8/−6x=4/3Answer:x=4/3

8 0

3 years ago