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12345 [234]
3 years ago
10

A polyhedron has 24 edges and 12 vertices. how many faces does it have​

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

ANSWER

14 faces

EXPLANATION

The relation between the number of faces, the number of vertices and the number of edges a polyhedron has is given by the formula,

F+V=E+2.

It was given that, the number of edges is

E=24 and the number of vertices is

V=12.

We substitute the values into the formula to find F, the number of faces.

F+12=24+2

Group similar terms,

F=24+2-12

F=14.

Hence the polyhedron has 14 faces.

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Please answer correctly.
Murljashka [212]

In order to find the amount left after both sisters ate the cereal, we have to add the amount of cereal the two sisters ate.

Katrina ate 1 3/4 and her sister ate 7/8.

(1 3/4 + 7/8)

(you put a parentheses around it so that you add the two first before subtracting it from the original amount)

Then, we would subtract it from the original amount: 12 1/2.

-> The equation would be: 12 1/2 - (1 3/4 - 7/8).

3 0
3 years ago
Plot the points in the coordinate plane. Then find the perimeter and area of the polygon.
anyanavicka [17]

Answer:

The answer to your question is below

Step-by-step explanation:

See the graph below

Process

1.- Find the distance from A to B, B to C, C to D, A to D

Formula

d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}

d AB = \sqrt{(1 + 3)^{2} + (6 - 5)^{2}}  = \sqrt{17}

dBC = \sqrt{(-2 -6)^{2} + (3 - 1)^{2}}  = \sqrt{68}

dCD = \sqrt{(-1 - 3)^{2} + (-3 +2)^{2}}  = \sqrt{17}

dAD = \sqrt{(-1 + 3)^{2} + (-3 - 5)^{2}}  = \sqrt{68}

2.- Find the perimeter

Perimeter = 2\sqrt{17} + 2\sqrt{68} = 6\sqrt{17} u

3.- Find the area

Area = \sqrt{17} x \sqrt{68}

Area = \sqrt{17x68} = \sqrt{1156} = 34 u^{2}

7 0
3 years ago
Sara has some fish, 2 birds, and 5 hamsters. She has 6 fewer hamsters than fish.
Gnoma [55]
There are 5 hamsters. If she has 6 fewer hamsters than fish, that means x-6=5
which means 5+6=11 so there are 11 fish.
The answer is 11

6 0
3 years ago
Read 2 more answers
Factor 12x6 - 27y4 completely
dlinn [17]
3(2x^3+3y^2) (2x^3 -3y^2)
7 0
3 years ago
What is the value of x in the equation 6x-5/2 = 2x+6​
nataly862011 [7]

Answer:

x= 17/8

Step-by-step explanation:

6x− 5/2=2x+6

Step 1: Simplify both sides of the equation.

6x+−5/2=2x+6

Step 2: Subtract 2x from both sides.

6x+−5/2−2x=2x+6−2x

4x+−5/2=6

Step 3: Add 5/2 to both sides.

4x+−5/2+5/2=6+5/2

4x=17/2

Step 4: Divide both sides by 4.

4x/4=17/2/4

x=17/8

7 0
3 years ago
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