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Debora [2.8K]
3 years ago
11

Solve the compound inequality n-4 > 5 AND 2 > n + 3

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Get n by itself in both inequalities

(This program doesn't allow for regular less than or greater than signs, so for the purposes of this problem I will be using less than or equal to (≤) and greater than or equal to (≥) signs)

Inequality 1:
n-4   \geq 5 \\ n \geq 9

Inequality 2:
2 \geq n+3 \\ -1 \geq n

Now that you have both of the n's by themselves, you can put the two inequalities together, like this
-1 \geq n \geq 9

Just keep in mind that these are supposed to be regular less than signs
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A circle passes through the vertices of
Vika [28.1K]

Answer:

a) 14,1 cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L)  of the diagonal given that:

L²  =  (20)²  +  (20)²

L²  = 2* (20)²

L  = √2 * 20

L  = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2   ⇒   r  = 28,28 /2   ⇒   r = 14,14 cm

3 0
4 years ago
Find the integers that correspond to the given description. fewer than 28 people Select the correct choice below and fill in the
Naily [24]

Answer:

The interger is up to 27

Step-by-step explanation:

let X represent the number of people.

For fewer than 28 people, we have;

(X ∠28)

Meaning,

(X ∠28) = (X ≤27)

(X = 1) + (X = 2) + (X = 3) ............+ (X = 27)

1 +1 + 1 +...............(27 times)

Therefore, the interger is up to 27

5 0
3 years ago
Why would a prism beat a sphere in a competition?
sammy [17]

Answer:

Because a prism travels at the speed of light.

7 0
4 years ago
Loch ness is the largest lake in Scotland.
abruzzese [7]

Answer:

11.020

Step-by-step explanation:

vol of l.supe = k(lochness)

88.21 * 10^10 = k( 7.45 * 10^9)

divide and k =11.020

in fraction = 1642/149

4 0
3 years ago
Three times the difference of four and a number
AveGali [126]

Answer:

3(x-4)

Step-by-step explanation:

3 0
3 years ago
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