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Georgia [21]
4 years ago
11

Which number satisfies the inequality x+3 <-2

Mathematics
2 answers:
Anna71 [15]4 years ago
5 0
X<-5 is the simplified inequality. -6 would satisfy the inequality.
devlian [24]4 years ago
5 0
X + 3 < -2
To do this you will have to subtract 3 from both sides.
x + 3 - 3 < -2 - 3
the left side stays with the x alone. To do the -2 - 3, you will have to convert it into -2 + (-3). Which when you simplify it you will get -5.
Now we know that x < -5.
In word form it will be a number is less than -5.
so that means that any number that is LESS than -5 will satisfy the inequality.
Here are some number that satisfy it:
-6, -7, -8, -9, -10, -189, -874322
ANY NUMBER THAT GOES BEFORE THE NUMBER -5 WILL BE YOUR ANSWER
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2 years ago
The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.
MaRussiya [10]

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where w is the width and l is the length.

The perimeter of a rectangle is twice its length added to twice its width.

2l+2w=22

The length is 3 more than the width:

l = w+3

We can now substitute in w+3 as l in the equation 2l+2w=22.

2(w+3) + 2w = 22

Distribute the first terms:

2w+6+2w=22

Combine like terms:

4w+6=22

Subtract 6 from both sides:

4w=16

Divide both sides by 4:

w = 4

Now we know that w = 4. We can now substitute this inside an equation to find l.

l = w+3\\\\l = 4+3\\\\l=7

Hope this helped!

7 0
4 years ago
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4 0
3 years ago
Find the total lateral area of the following
maxonik [38]

Answer:

15π cm²

Step-by-step explanation:

The total lateral area of a cone

= πr√h² + r²

= √h² + r² = l

h = Height = 4cm

r = radius = 3cm

Hence:

= π × 3 √4² + 3²

= 3π × √16 + 9

= 3π × √25

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7 0
3 years ago
How many distinct diagonals of a convex heptagon (7-sided polygon) can be drawn?
valkas [14]

The convex heptagon has 14 distinct diagonals can be drawn

Step-by-step explanation:

A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon

The formula of number of diagonals in any polygon is d=\frac{n(n-3)}{2} , where

  • d is the number of the diagonals of the polygon
  • n is the number of sides of the polygon

∵ The heptagon has 7 sides

∴ n = 7

∵ The number of diagonals = \frac{n(n-3)}{2}

- Substitute n by 7 in the rule above

∴ The number of diagonals = \frac{7(7-3)}{2}

∴ The number of diagonals = \frac{7(4)}{2}

∴ The number of diagonals = \frac{28}{2}

∴ The number of diagonals = 14

The convex heptagon has 14 distinct diagonals can be drawn

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

4 0
3 years ago
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