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Mumz [18]
2 years ago
13

-2 < n <_ 6 n is an integer. What is the possible values of n?

Mathematics
1 answer:
AysviL [449]2 years ago
7 0

Answer:

<h2>E</h2>

Step-by-step explanation:

E is correct!!

  • See in A the first option -2 will become equal so it will be wrong
  • and in B one option that is 0 is missing
  • and in c again -2 will be equal to -2
  • in d 7 is greater than 6

But in E all are correct!!

So answet is option e

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Find the local and global extrema for the graph of ƒ(x) = x(25 – x).
Allisa [31]

fx=25x-x²

dy/dx=0

25-2X=0

(=)X=14,5

4 0
3 years ago
A right triangle has sides of lengths 18 ​, 24 ​, and 30 units. What is the area of the​ triangle? Draw the shape on a grid to h
Elden [556K]

Answer:216

Step-by-step explanation:The formula to find the area of a triangle is Length times Base divided by 2. The length of the triangle could be 18 or 24, but that doesn’t matter. The base could also be 18 or 24, but that also doesn’t matter, because the hypotenuse (the longest part of a right triangle, in this case being 30), is not a part of the formula. 18 times 24 is 432, and 432 divided by 2 is 216. So the area is 216

7 0
2 years ago
The question is given in the picture.
lorasvet [3.4K]
This is a really interesting question! One thing that we can notice right off the bat is that each of the circles has the same amount of area swept out of it - namely, the amount swept out by one of the interior angles of the hexagon. Let’s call that interior angle θ. We know that the amount of area swept out in the circle is proportional to the angle swept out - mathematically

θ/360 = a/A

Where “a” is the area swept out by θ, and A is the area of the whole circle, which, given a radius of r, is πr^2. Substituting this in, we have

θ/360 = a/(πr^2)

Solving for “a”:

a = π(r^2)θ/360

So, we have the formula for the area of one of those sectors; all we need to do now is find θ and multiply our result by 6, since we have 6 circles. We can preempt this but just multiplying both sides of the formula by 6:

6a = 6π(r^2)θ/360

Which simplifies to

6a = π(r^2)θ/60

Now, how do we find θ? Let’s look first at the exterior angles of a hexagon. Imagine if you were taking a walk around a hexagon. At each corner, you turn some angle and keep walking. You make 6 turns in all, and in the end, you find yourself right back at the same place you started; you turned 360 degrees in total. On a regular hexagon, you’d turn by the same angle at each corner, which means that each of the six turns is 360/6 = 60 degrees. Since each interior and exterior angle pair up to make 180 degrees (a straight line), we can simply subtract that exterior angle from 180 to find θ, obtaining an angle of 180 - 60 = 120 degrees.

Finally, we substitute θ into our earlier formula to find that

6a = π(r^2)120/60

Or

6a = 2πr^2

So, the area of all six sectors is 2πr^2, or the area of two circles with radii r.
5 0
3 years ago
If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence
hammer [34]

The sum of the sequence is 750

<h3>How to determine the sum of the series?</h3>

The series is given as:

150, 120, 96, and 76.8,

Start by calculating the common ratio using:

r = T2/T1

This gives

r = 120/150

r = 0.8

The sum of the series is then calculated as:

S = \frac{a}{1 - r}

This gives

S = \frac{150}{1 - 0.8}

Evaluate

S = 750

Hence, the sum of the sequence is 750

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

4 0
1 year ago
Solve the inequality for <br> 8w-35&lt; 3−(5-4w)<br><br> Simplify the answer as much as possible
Finger [1]

Answer:

w<33/4

Step-by-step explanation:

8w-35<3-(5-4w)

8w-35<3-5+4w

8w-35<-2+4w

8w-4w-35<-2

4w-35<-2

4w<-2+35

4w<33

w<33/4

7 0
3 years ago
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