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4 years ago

A n-faced regular polyhedron consists of 2n edges and (2n-4) vertices. Find n .

Mathematics

1 answer:

ira [324]4 years ago

3 0

We could use Euler's polyhedron formula:

$F=n\qquad\qquad\text{(Faces)}\\\\E=2n\qquad\qquad\text{(Edges)}\\\\V=2n-4\qquad\qquad\text{(Vertices)}\\\\\\V-E+F=2\\\\2n-4-2n+n=2\\\\-4+n=2\qquad|+4\\\\\boxed{n=6}$

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John's age is three times that of his sister. When you add John's age to his sister's age, you get 36. How old are John and his

Anarel [89]

Answer:

If the present age is y, then n times the present age = ny.

If the present age is x, then age n years later/hence = x + n.

If the present age is x, then age n years ago = x – n.

The ages in a ratio a: b will be ax and bx.

Step-by-step explanation:

5 0

3 years ago

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What two numbers are located 3/8 of a unit from 1/2 on a number line

zhuklara [117]

Answer:

1/8 and 7/8

Step-by-step explanation:

First convert 1/2 to 4/8.

Then, subtract and add 3/8

(4/8 - 3/8 = 1/8, 4/8 + 3/8 = 7/8)

3 0

3 years ago

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The Corner Store sells 4 bottles of energy drinks for $11.56, Bev's sells 6 bottles for $17.94. Which is the better buy?

enyata [817]

Answer:

The corner store.

Step-by-step explanation:

11.56/4 =2.89$

17.94/6=2.99$

corner store sells it for cheaper by 10 cents

5 0

3 years ago

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What is the solution to the system of equations

irinina [24]

Answer:

O A. $(-1,2)$

Step-by-step explanation:

$y=x+3$

$2=-1+3$

$2=2$

$y=-x+1$

$2=-1+1$ Since two -x's are being used, x becomes positive!

2 = 1 + 1

2 = 2

Solution: (-1, 2)

7 0

3 years ago

the number of blueberry muffin that a baker makes each day is 40% of the total number of muffins she makes. math problem part A:

kiruha [24]

You are told that out of the total number of muffins that the baker bakes everyday, 40% of those are blueberry.

A) That means 36 is 40% of some number. There are many ways of solving this. You can create two fractions and set them equal to each other and solve for your missing value.
One fraction is the fraction of the total number that are blueberry. 40% are blueberry, meaning 40/100 = 4/10 = 2/5 are blueberry.
The other fraction is the fraction of the total number of muffins baked that the 36 blueberry muffins makes up. Let's call the total number of muffins "x." That means 36/x is the your second fraction.

Set 2/5 equal to 36/x and solve for x by cross-multiplying:
$\frac{2}{5} = \frac{36}{x} \\
2x = 180\\
x = 90$

Since x = 90, that means 90 total muffins were baked on Monday.

---------

B) This time you know the total number of muffins that were baked is 60 and you're looking for the number of blueberry muffins. Repeat what we did in part A, but this time we're solving for x as the number of blueberry muffins.
The fraction of all the muffins that are blueberry is still 40% = 2/5.
The second fraction will be the number of blueberry muffins x over the total number of muffins, 60. So, x/60.

Set 2/5 equal to x/60 and solve for x by cross-multiplying:
$\frac{2}{5} = \frac{x}{60} \\
5x = 120\\ 
x = 24$

The number of blueberry muffins that the baker makes on Tuesday is 24.

6 0

3 years ago