Help me pls... Thnx!

Help Me Pls... Thnx!

Answers

Answer 1

Given:

First term of a geometric series = a

Common ratio of the geometric series = [tex]\sqrt{3}[/tex]

To prove:

[tex]S_{10}=121a(\sqrt{3}+1)[/tex]

Solution:

The sum of first n terms of geometric series is

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting n=10 and [tex]r=\sqrt{3}[/tex] in the above formula, to get the sum of 10 terms.

[tex]S_{10}=\dfrac{a((\sqrt{3})^{10}-1)}{\sqrt{3}-1}[/tex]

[tex]S_{10}=\dfrac{a(243-1)}{\sqrt{3}-1}[/tex]

[tex]S_{10}=\dfrac{242a}{\sqrt{3}-1}[/tex]

Rationalizing the denominator, we get

[tex]S_{10}=\dfrac{242a}{\sqrt{3}-1}\times \dfrac{\sqrt{3}+1}{\sqrt{3}+1}[/tex]

[tex]S_{10}=\dfrac{242a(\sqrt{3}+1)}{(\sqrt{3})^2-1^2}[/tex]

[tex]S_{10}=\dfrac{242a(\sqrt{3}+1)}{3-1}[/tex]

[tex]S_{10}=\dfrac{242a(\sqrt{3}+1)}{2}[/tex]

[tex]S_{10}=121a(\sqrt{3}+1)[/tex]

Hence proved.


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

C=12

Step-by-step explanation:

2x12=24

3x12=36

5x12=60

ERRE
What is the difference?
4y+6
y-5
2y+ 1
y-5
6y+7
y-5
2y+5
y-5
6y+ 7
-2y-10
2y+5
-2y-10

Answers

y-5

2y+ 1

y-5

6y+7

y-5

2y+5

y-5

6y+ 7

-2y-10

2y+5

-2y-10

Please help me this is due in 10 minutes!
Find the surface area of the shapes.
Please please help me!!!!

Answers

Answer:

5=1482ft

6=205.04ft

not sure for both of em

Step-by-step explanation:

Find the area of equilateral triangle with side a. Please answer with completely simplified exact values. Answer: A = sq. Units

Answers

Solution :

It is given that the length of a side of a triangle is given by 'a'.

It is an equilateral triangle.

So the three sides will be of equal length and is a, a, a units.

Now the semi perimeter of the equilateral triangle is given by :

[tex]$S=\frac{a+a+a}{2}$[/tex]

  [tex]$=\frac{3}{2}a$[/tex]

Therefore, using the Heron's formula, we can find the area of the equilateral triangle.

Area of the equilateral triangle is given by :

[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]

[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]

[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.

can someone tell me how to solve 8th grade slope! I'll put you as brainliest!! ​

Answers

Answer:

Step-by-step explanation:

Well, the formula to find slope is y2-y1 / x2-x1

Here's an example:

(2,12) (4,24)

12-24 / 2-4 =

-12/-2 or 6

You would use:

(y=mx+b) to find an entire equation, including the y intercept

Let me know if this helps, and if it doesn't, I hope I'll be able to explain it better.

9. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10
meters. The equation that models the path of the ball is given by h= -4.9t? +18t +10.
(A) What is the maximum height of the ball?
9a)
(B) When does the ball reach its maximum height?
9b)
(C) When does the ball hit the ground?
9c)
(D) How high is the ball at 3 seconds?
9d)
(E) When is the ball 20 meters high?
9e)

Answers

D3 secaonds answer 20 meters=1

Find exact value. tan (sin-1 5/8)

Answers

Answer:

The chicken closed the road.

And then he crawled up the spot

and come over the duck

WILL MARK YOU BRAINLIEST

Answers

Answer : 160

Explanationwell, its 160. No explanation, 18 sided polygon known to have 160 interior angle. ._.

A. y+2 = -4(X-8)
B. y- 8 = -4(x + 2)
C. y+ 8 = -4(x-2)
D. y-2 = -4(x+8)


PLEASE HELP AND ASAP THANKS!!!!!

Answers

ExplanationPoint-Slope Form

[tex]y-y_1=m(x-x_1)[/tex]

Given the x1 and y1 = given point.

Substitution x1 = 2 and y1 = -8 in the equation.

[tex] \begin{cases} x_1 = 2 \\ y_1 = - 8 \end{cases} \\ y - ( - 8) = - 4(x - 2) \\ y + 8 = - 4(x - 2)[/tex]

Hence, the solution is C choice.

Answer

[tex]y + 8 = - 4(x - 2)[/tex]

please help seems easy just can’t figure out the answer

Answers

Answer:

b is 125

Step-by-step explanation:

John had 30 sneakers, with 18 of the black. What is the ratio of the sneakers that are not black

Answers

Answer:

18:12

Step-by-step explanation:

30-18=12

18:12

y = x + 8
4x – 2y = -12​

Answers

Answer:

x = 14

y = 22

Step-by-step explanation:

y = x + 8

4x - 2y = -12

Solve

_____________

Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.

4x - 2(x + 8) = -12

Distribute :

4x - (2(x) + 2(8)) = -12

4x - 2x +16 = -12

Combine like terms :

2x + 16 = -12

Subtract 16 from both sides :

2x = -28

Divide 2 from both sides to get x alone :

x = 14

Now that we know what x is, substitute it in the first equation to get y :

y = (14) + 8

y = 22

Answer:

(2 , 10) or x = 2 & y = 10

Step-by-step explanation:

y = x + 8

4x – 2y = -12​

1. Substitute x + 8 in for the y in the other equation.

2. Solve for x

3. Take the solution for x and substitute the number in for the x in y = x + 8.

4. Solve for y.

5. Your answer is the result.

4x - 2(x + 8) = -12                       Distributive Property

4x - 2x - 16 = -12                        Combine like terms

2x - 16 = -12                               Isolate the x, so start by moving -16

    + 16   +16                              

2x + 0 = 4                                  Delete the 0. It is a place holder you don't need

      2x = 4                                 Isolate the x by dividing both terms by 2.

        2    2

        x = 2

y = x + 8                      Substitute the 2 in for x and solve the one step equation.

y = 2 + 8

y = 10

Which 2 equations would you use to solve this system?

The difference of two numbers is 4. Their sum is 32. What are the numbers?

• x + y = 4
• x - y = 4
• x + y = 32
• x - y = 32

Answers

Answer:

x-y=4

and

x+y=32 is your equation

difference of two number =x-y is equal to 4

sum of two number=x+y is equal to 32

x-y=4.......(1)

x+y=32.......(2)

adding equation 1 and 2

x-y +x+y=4+32

2x=36

x=36/2=16answer

substituting value of y in equation 1

16-y=4

16-4=y

y=12 answer

What is the area of this figure?
2D
5 m
write your answer using decimals. Use 3.14 for pie

___ square kilometers

Answers

Answer: i eat fooood bro

Step-by-step explanation:

Calculate the mean of 66,73,65,60​

Answers

Answer:

66

Step-by-step explanation:

The mean is the average, to find you add all the numbers up and then divide by the amount of numbers you added.

66+73+65+60 = 264

264 : 4 = 66

I hope this helps :0)

Please help me with the question please ASAP ASAP please please ASAP please please help please please ASAP please please

Answers

Answer:

Ok so since this is a vertical angle you will need to set it in a equation and solve it. Not sure if my answer would be right but let me know. I have attached a picture of me solving it. Hope this helps, thank you !!

In the figure, [tex] \angle[/tex] AOB = [tex] \frac{1}{2} [/tex][tex] \angle[/tex] BOC and [tex] \angle[/tex] BOC = [tex] \frac{2}{3} [/tex][tex] \angle[/tex] COD . Show that [tex] \angle[/tex] COD = [tex] \frac{1}{2} \angle[/tex] AOD mentioning necessary axioms.

~Thanks in advance !

Answers

Answer:

See Below.

Step-by-step explanation:

Statements:                                                        Reasons:

[tex]1)\text{ }\angle AOD=180[/tex]                                                  Straight Angle Theorem

[tex]2)\text{ } \angle AOB+\angle BOC+\angle COD=\angle AOD[/tex]              Angle Addition    

[tex]3)\text{ } \angle AOB+\angle BOC+\angle COD=180[/tex]                   Substitution

[tex]\displaystyle 4)\text{ } \angle AOB=\frac{1}{2}\angle BOC[/tex]                                          Given

[tex]\displaystyle 5)\text{ } \angle BOC=\frac{2}{3}\angle COD[/tex]                                          Given

[tex]\displaystyle 6)\text{ } \frac{1}{2}\angle BOC+\frac{2}{3}\angle COD+\angle COD=180[/tex]              Substitution

[tex]\displaystyle 7)\text{ } \frac{1}{2}\Big(\frac{2}{3}\angle COD\Big)+\frac{2}{3}\angle COD+\angle COD=180[/tex]       Substitution

[tex]\displaystyle 8)\text{ } \frac{1}{3}\angle COD+\frac{2}{3}\angle COD+\angle COD=180[/tex]              Multiplication

[tex]\displaystyle 9)\text{ } 2\angle COD=180[/tex]                                                 Addition

[tex]10)\text{ } \angle COD=90[/tex]                                                   Division Property of Equality

[tex]\displaystyle 11)\text{ } \frac{1}{2}\angle AOD=90[/tex]                                                Division Property of Equality

[tex]\displaystyle 12)\text{ } \angle COD=\frac{1}{2}\angle AOD[/tex]                                        Substitution

Answer:

this is your answer. good luck.

10x-3y=3 Can somebody find the slope for me please

Answers

Answer:

Y=-1+10/3x

Step-by-step explanation:

The slope is 10/3x and the point is -1. I think this is correct, but I’m not sure

Answer:

y=10/3

Step-by-step explanation:

10x-3y=3

-10x -10x move 10x

-3y=-10x+3

-3. -3. -3. divide

y=10/3x

The cost(c)of chicken varies directly as its weigth(w)equation​

Answers

Answer:

[tex]c = kw[/tex]

Step-by-step explanation:

Given

c varies directly as w

Required

Write the equation

c varies directly as w.

Mathematically, this is represented as:

[tex]c\ \alpha\ w[/tex]

Convert to equation.

[tex]c = kw[/tex]

Where k is the constant of variation

Can someone pls help me with this?

Answers

Answer:

C

Step-by-step explanation:

Because the line is straight and the line is supposed to be going straight up

HELP PLZZZZZzZZzzzzzz

Answers

Answer:

43.98

Step-by-step explanation:

James planted a tree in his backyard. The initial height is 5 ft tall. It grows 1/2 ft a year after that.

Answers

Answer:

New height = 11/2 ft

New height = 5 + 1/2(N)

Step-by-step explanation:

Given:

Initial height = 5 ft

Grown height = 1/2 ft

Find:

New height

Computation:

New height = Initial height + Grown height

New height = 5 + 1/2

New height = 11/2 ft

Equation;

New height = 5 + 1/2(Number of year)

New height = 5 + 1/2(N)

What is the MAD of these numbers 1,1,4,5,5,5,6,7,7,10,10?
Please give an explanation

Answers

Answer:

2.2314

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

1+1+4+5+5+5+6+7+7+10+10= 61

61÷11= 5.5-2.5= 2.2

Example:

Find the MAD of 2,4,6,8

Step 1 :

Find the mean of the data :

(2+4+6+8) / 4 = 20/4 = 5

Step 2 :

Find the distance between each data and mean.

Distance between 2 and 5 is 3

Distance between 4 and 5 is 1

Distance between 6 and 5 is 1

Distance between 8 and 5 is 3

Step 3 :

Add all the distances :

3+1+1+3 = 8

Step 4 :

Divide it by the number of data :

8 / 4 = 2

Find the quotient.

12a3p4 ÷ -2a2p

-6a3p5
-24ap3
-6ap3
6a5p3

Answers

Step-by-step explanation:

Given

12a³p^4 / - 2a²p

= - 6* a^3 - 2 * p^4- 1

= - 6ap³

Hope it will help :)

Christian is planning a vacation and finds an airplane ticket that cost 180$. He found a promo code offering 17% off. Write a single algebraic expression that can be used to find the cost of Christian’s ticket after the discount.

Answers

Answer:

83/100 x 180

Step-by-step explanation:

We have to find the cost of the ticket after the discount.

100% - 17%= 83%

83% of the total percentage of the original price that he needs to pay.

So we do:

83/100 x 180

So, this would be the expression.

Hope this helps!:)

Help me with this!!!

Answers

With what??????

I love your face

Rewrite the following radical expression in rational exponent form.
(√x)^5
А. x2/5
B. x5/2
C. x^2/x^5
D. (1/x^2)^5

Answers

Answer:

Step-by-step explanation:

For clarity, you need to mark exponents with ^ and parentheses.

You would  write the choices A and B as x^(2/5) and x^(5/2), respectively.

Answer:

x5/2

Step-by-step explanation:

Which best defines the term empirical evidence?
evidence based on facts and figures
evidence based on emotions
evidence based on another person’s testimony
evidence based on experience and observation

Answers

Answer:

the fourth answer, hope this can help

Answer:

evidence based on experience and observation

Step-by-step explanation: 100%


PLEASE ANSWER ASAP !!!!

Answers

Slope = 4/1 or y=4x -8

Answer:

Step-by-step explanation:

(3,4)(4,8)

4/1

m=4

1
Sharon bought = kg of sugar. She used- of it to bake a cake.

2
4
How much sugar had she left?
D​

Answers

Answer:

She bought 1 kg

amount used in making cake = 2/4 = 1/2

amount left with her = 1 - 1/2

==. 1/2

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