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3 years ago

Determine whether the sequence converges or diverges. If it converges, give the limit.

1 answer:

3 0

This is a geometric progression, with ratio $\frac{1}{6}$ . The terms will get smaller and smaller, but will remain strictly positive. It does converge to 0.

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A regular hexagon has sides of 3 feet. What is the area of the hexagon?

frosja888 [35]

Answer:

$13.5\sqrt{3}\:\text{ft}^{2}$

Step-by-step explanation:

Given: The side of a regular hexagon is 3 feet.

To find: Area of the hexagon

Solution:

It is given that the side of a regular hexagon is 3 feet.

We know that the area of a regular hexagon whose side is a units is $\frac{3\sqrt{3} }{2} a^{2}$

Here, the side is 3 feet

So, area of the regular hexagon

$=\frac{3\sqrt{3} }{2} \times3^{2}$

$=\frac{3\sqrt{3} }{2} \times9$

$=\frac{27\sqrt{3} }{2}$

$=13.5\sqrt{3}\:\text{ft}^{2}$

Hence, area of the regular hexagon is $13.5\sqrt{3}\:\text{ft}^{2}$

6 0

3 years ago

AB is the angle bisector of CAD. Solve for the missing variable?

Alika [10]

Answer:

$x=8^\circ$

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is $\angle CAD$ ) exactly in half. Therefore, $\angle CAB = \angle BAD$ and as such we can solve for $x$ :

$\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ$

and we are done.

4 0

2 years ago

-91=13n How would you work out this math problem

Igoryamba

Answer:

n=-7

Step-by-step explanation:

For this you can do the inverse of division which is division. So Divide -91 and 13. Which is -7.

7 0

3 years ago

Read 2 more answers

Is this statement true? (x/y)-z=x/(y-z)

Bond [772]

False, this statement is not true, because if you change the parenthesis, it means that you will do that thing first (PEMDAS)
Therefore, the sstatement is false, because the answers will be completely different,

hope this helps

5 0

3 years ago

7. what is the volume of this object

OverLord2011 [107]

Answer:

Dont knowwwww

Step-by-step explanation:

5 0

3 years ago