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Step2247 [10]
3 years ago
12

- Algebra 1~ solving inequality word problems-

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0
I'm not that sure about the second one. Would recommend asking another source.

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Is it possible for a simple, connected graph that has n vertices all of different degrees? Explain why or why not.
ryzh [129]

Answer:

It isn't possible.

Step-by-step explanation:

Let G be a graph with n vertices. There are n possible degrees: 0,1,...,n-1.

Observe that a graph can not contain a vertice with degree n-1 and a vertice with degree 0 because if one of the vertices has degree n-1 means that this vertice is adjacent to all others vertices, then the other vertices has at least degree 1.

Then there are n vertices and n-1 possible degrees. By the pigeon principle there are two vertices that have the same degree.

8 0
3 years ago
Simplify the expression:<br> x+2/ x^2 -4 - (x - 2)
bonufazy [111]

Answer:

2 ( 1 + x )  ( 1 − x ) over  x ^2

Step-by-step explanation:

if you didn't get that its 2 ( 1 + x )  ( 1 − x ) as the numerator and  x ^2 as the denominator

3 0
3 years ago
Read 2 more answers
Is 9.68 8 repeating irrational or rational
CaHeK987 [17]

Step-by-step explanation:

number x = 9.688888 is a rational number. This is because when you take x = 9.6888 and multiply 10 from x 10x = 96.888. So on and so forth.

Yes

5 0
2 years ago
A flag staff is fixed at one corner of a rectangular room of side 20×10m.The angle of elevation on the top of the flag from oppo
Vedmedyk [2.9K]

Answer:

The height is 12.9m

Step-by-step explanation:

First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

h² = s1² + s2²

h² = 10² + 20²

h² = 100 + 400

h² = 500

h = √500

h = 22.36

Now that we know this measurement we can calculate the height of the flagpole

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 30

a: adjacent  = 22.36

o: opposite  = ?

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, opposite)

is the tangent

tan α = o/a

tan 30 = o/22.36

tan30 * 22.36 = o

12.9 = o

The height is 12.9m

7 0
3 years ago
Mark has a bushel of apples which weighs 48 pounds. He wants to make some apple pies. If each apple pie requires 2.5 pounds of a
mixas84 [53]
This is easy, all you need to do is divide 48/2.5 and you have your answer.
3 0
3 years ago
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