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Tresset [83]
3 years ago
9

The 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio​

Mathematics
1 answer:
Ymorist [56]3 years ago
7 0

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

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A bag contains 6 yellow marbles and 18 red. If a representative sample contains 2 yellow marbles, then how many red would you ex
kramer

Answer:

6 red marbles

Step-by-step explanation:

We must first find our multiplier since a sample represents a population (the whole thing).

6/2 = 3, so 3 * 2 = 6.

I will use the value of 6/2, aka 3 and use that as my divisor.

18/3 = 6.

Therefore, you would expect to have 6 red marbles.

3 0
3 years ago
25.7% as a fraction<br> plz help
vlada-n [284]

Answer:

257/1000

Step-by-step explanation:

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4 0
3 years ago
There are 400 students in a school. Fifty five percent are girls. How many boys are there?
ki77a [65]
1) 55% is girls, then 
100-55=45% is boys.

2) 45%=0.45                                     or  2) 400 ----100%
3)400*0.45= 180 boys                                 x -----45%      x=400*45/100=180 boys

Answer is 180 boys.
5 0
3 years ago
I need help with this pls
antoniya [11.8K]
I'll explain it simply for you

1st question
Of course you know phythagoras theorm
You even wrote it up there
It states that the sum of the square of the two sides of an equilateral triangle is equal to the square of the hypotenuse
{a}^{2}  +  {b}^{2}   =  {c}^{2}
Where C is the hypotenuse
*NOTE* :
HYPOTENUSE is the greatest side in a triangle!!
And that's where your mistake is!
So you should take the greatest side as C
So in Q3. 7, 24 and 26 are the given numbers
You'll make the smaller two numbers a and b and the greatest number C
Using the Formula you'll solve the left side first which is
{a}^{2}  +  {b}^{2}
Then the right side which is
{c}^{2}

And if both are equal then it is a right triangle otherwise it isn't!
Let
a=7
b=24
c=26


a^2 + b^2
7^2 + 24^2
49 + 576 = 625
GREAT, Now the right side

26^2 = 676
Since they aren't equal it isn't a right angled triangle...

Then let
a=7.5
b=10
c=12.5

7.5^2 + 10^2
= 56.25 + 100
= 156.25



12.5^2 = 156.25

They are EQUAL
Therefore it is a right triangle too

Hopefully I helped
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2 years ago
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