Mathematics College

find the sum of the 2 terms of an A P are in the ratio of (2n-1):(2n+1) then find the ratio of their 10th term
​

Answers

Answer 1

Answer:

37/39

Step-by-step explanation:

We know that formula for n terms of an AP is written as;

(n/2)(2a + (n - 1)d)

Let the sum of the first AP be;

(n/2)(2a + (n - 1)d)

Let the sum of the second AP be (n/2)(2A + (n - 1)D)

We are told that they have a ratio of (2n-1):(2n+1)

Thus;

(2n-1)/(2n+1) = [(n/2)(2a + (n - 1)d)]/[ (n/2)(2A + (n - 1)D)]

On RHS, n/2 will cancel out to give;

(2n-1)/(2n+1) = [(2a + (n - 1)d)]/[(2A + (n - 1)D)]

Rewriting this we have;

(2n - 1)/(2n + 1) = [(a + ½(n - 1)d)]/[A + ½(n - 1)D)]

But we want tod find;

(a + (n - 1)d)/(A + (n - 1)D)

Thus,at n = 10, we have;

(a + 9d)/(A + 9D)

Comparing with [(a + ½(n - 1)d)]/[A + ½(n - 1)D)], we can say that;

½(n - 1) = 9

n = 18 + 1

n = 19

Thus;

(a + 9d)/(A + 9D) = (2n-1)/(2n+1)

Putting n = 19 gives;

(a + 9d)/(A + 9D) = (2(19) - 1)/(2(19) + 1)

(a + 9d)/(A + 9D) = 37/39

Related Questions

what is 0.01 as a fraction

Answers

1 over 10

Explainedddddd-

Answer:

hey! this is simple! .01 is 1 out of 100.

Step-by-step explanation:

so the answe is, 1/100

The world's tallest mammal is a giraffe at a height of 19 feet. What is the height of the giraffe in inches?​

Answers

Answer:

228 inches

Step-by-step explanation:

Answer:

228

Step-by-step explanation:

19 x 12=228

Please help MEEEEEE!! NOWWWWW

Answers

Answer:

Tyler.

Step-by-step explanation:

how to represent with an integer mary moves 3 steps backward as she dances

​

Answers

Answer:

-3

Step-by-step explanation:

As she moves back, so it will be negative.

Since she moves back 3 steps, it will be -3.

Hope it helps :)

Please mark my answer as the berainliest

Answer:

-3

itwaseasy...............

There are 80 marbles in a bag.

If 30% of the marbles are green, how many marbles are not green
answer pleasee!!!

Answers

24 marbles are not green
24 of them aren’t green

Brad buys a sandwich. The regular cost is $6. He uses a coupon for 10% off. After that deduction, a sales tax of 5% is added. How much money Brad need to pay for the sandwich?
A. $5.10
B. $5.67
C. $5.94
D. $6.93

Answers

A is the answer to that
The answer is B.

5% of 6.00 = 0.4

6.00 - 0.60 = $5.40

10% of 5.40 = 0.27

5.40 + 0.27 = $5.67

help please geometry

Answers

Answer:

1st option is correct (The diagonals are perpendicular)

twice the difference of a number and 8 is equal to three times the sum of the number and 8. find the number

Answers

Answer:

-24

Step-by-step explanation:

2(x-8)=3x+3

2x-16+16=3x+8+16

2x=3x+24

2x-3x=3x+24-3x

-x=24

x=-24

The above answer is incorrect. The correct answer and equation is below:
2(x-8) = 3(x+8)
2x - 16 = 3x + 24
_____ ______
-24 -24
______________
2x - 40 = 3x
_____________
-2x. -2x
____________
-40 = 1x

So x = -40
______________

Question A construction worker drops a hammer while building the Grand Canyon skywalk 4,000 ft above the Colorado River. Use h the formulat to find how many seconds it takes for the hammer to reach the river. Round your answer to the 4. nearest tenth of a second. s
​

Answers

Answer:15.8

Step-by-step explanation:

After 15.81 seconds the hammer reaches the river if the construction worker drops a hammer while building the Grand Canyon skywalk 4,000 ft above the Colorado River.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

A construction worker drops a hammer while building the Grand Canyon skywalk 4,000 ft above the Colorado River.

The equation is:

t = √h/4

Plug h = 4000 ft

t = √4000/4

After solving:

t = 15.81 seconds

Thus, after 15.81 seconds the hammer reaches the river if the construction worker drops a hammer while building the Grand Canyon skywalk 4,000 ft above the Colorado River.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Can someone please help me with this question

Answers

Answer:

no

Step-by-step explanation:

A baker made two cakes of the same size.

Answers

Woah really!? That’s so cool

becky spends 3/5 of her money she has left £60 left. how much money did she start with?

Answers

Answer: $150

Step-by-step explanation:

Becky spends 3/5 of her Money and is left with 2/5 of her money.

Hence 2 parts = $60

And 5 parts = $150

Becky has $150 at first.

Becky starts with $150.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Becky spends 3/5 of her money she has left £60 left.

let Becky earned be x.

so, x- 3/5x= 60

2x/5 = 60

x= 300/ 2

x=$150

Hence, Becky starts with $150.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Use the Figure below to find the value of x

Answers

Answer:

It should be 92

Step-by-step explanation:

Tom buys a torch and a battery.
The torch costs eight times as much as the battery.
Tom pays with a £5 note and gets £1.49 change.
How much does the battery cost?

Answers

Answer:

battery costs: 0.39...............

Answer:

£0.39

Step-by-step explanation:

I did Question ON MATHSWATCH

write on the blank the operations processes involved in each numbers sentence
[tex]18 + 9 \times 4 - 27 + 9[/tex]
​

Answers

Answer:

18

Step-by-step explanation:

Given the expression 18+9*4-27+9

Using  PEMDAS method

P is for parenthesis

E is for exponents

M is for multiplication

18+(9*4)-27+9

= 18+36-27+9

​Next is Addition

= (18+36)-(27+9)

= 54-36

Then Subtraction

= 54-36

= 18

Hence the required value is 18

M<2 if m<6=120

A 120
B 60
C 90
D 150

Answers

Answer:

a

Step-by-step explanation:

the angles 2 and 6 are corresponding meaning that they have the same value.

Please help i'll mark as brainliest. Even if you can only answer one its ok. 3. Without graphing how will you know if the graph is a set of parallel lines? Intersecting lines? Lines that coincide? 4. What do graphs indicate about the values of the variables in the system? 5. In what way can your understanding of graphs of systems of linear equations help you in determining the most favorable options in life?

Answers

Answer:

by slope of given eq

for parallel line slope are same

for intersection line slope are different

Parallel and Perpendicular Lines. When you graph two or more linear equations on the coordinate plane, they usually intersect at some point. However, when two lines in a coordinate plane never intersect, they are called parallel lines.

i will mark right answer branliest and report all wrong!!!
find for x

Answers

Answer:

120°

Step-by-step explanation:

The angle next to the x will be 40° due to the alternate angles so

x + 40° + 20° = 180° { being linear pair }

x + 60° = 180°

x = 180° - 60°

x = 120 °

Hope it will help :)

Answer:

120˚

Step-by-step explanation:

Since the two lines are parallel, they are alternate angles

So that means that the angle next to x must be 40˚

So 40 + 20 + x = 180 (since it's half a circle)

60 + x = 180

x = 120

is 3/12 less than or greater than or equal 3/4?​

Answers

Answer:

3/12 is less than 3/4

Step-by-step explanation:

3/12 is the same as 1/4, which is 0.25

3/4 is 0.75

Michael and his family
brought some logs of
firewood with them on
their camping trip. The
first night, they burned
2 logs in the fire. The
second night, they
burned 3 logs in the
fire.

Answers

What’s the question? I can’t answer if I don’t see the question

2(y+10)=32

x/3+x=20

I need to express both these equations word problems. Any help?

Thx!

Answers

Step-by-step explanation:

First you multiply 2(y+10) with will get you (2y+20)

if you multiply 2×10 and2×y

At the Movie theater, the Hu family spend $22.00 for two adult tickets and three children's tickets. Sheila Clark spent $18.50 for one adult and four child's tickets. How much did each ticket cost?

Answers

Answer:

Your answer.

Adult ticket : 6.5

Child ticket: 3

a man has 290 ft of fencing to build the pen shown in the illustration. If one in is a square, find the outside dimensions.

the dimensions are feet(smaller value) by feet (larger value)​

Answers

9514 1404 393

Answer:

  40 ft by 85 ft

Step-by-step explanation:

The total length of the three "vertical" partitions is ...

  3x = vertical partitions

The total length of the horizontal sides is ...

  2(x +(x +5)) = 4x +10

Then the perimeter is ...

  P = vertical partitions + horizontal sides

  290 = 3x +4x +10

  280 = 7x

  x = 40

  2x+5 = 85

The overall dimensions are 40 ft by 85 ft.

I need this please help

Answers

Function A has a rate of change of 0.75 while Function B has a rate of change of 0.25 so Function A has a greater rate of change.

Professor Rosencrantz flips a fair coin twice. Professor Guildenstern flips a fair coin thrice. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern

Answers

Djdkdkjddkdkkddkdkkddjdkdkkdkdkdkdkddkkdkd

please help its a differcult math problem that im having a hard time solving

Answers

Answer:

Find ouut what It’s talks about

Step-by-step explanation:

If Mrs. Maiers buys 24 stickers, is the cost of each sticker more then or less then 0.50

Answers

0.50 24 times is the answer just multiply them

Pls help with math ASAP

Answers

I think 6,1 and the upper point is -6,11

Use 3.14 for Pi. *Answer choices may be rounded.* 5 points 1. 15 cm 7.5 cm 176.6 706.5 1324.7 5298.8​

Answers

Answer:

C. 1324.7 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

π = 3.14

radius (r) = ½ of 15 = 7.5 cm

Height (h) = 7.5 cm

Plug in the values

Volume = 3.14*7.5²*7.5 = 1324.7 cm³

The leaning Tower of Pisa is 84.32 meters (m) long.
84.32 m
height
not to scale
In the 1900s, engineers restored the building so that angle y changed from 6.5° to
2.8°. To the nearest hundredth of a meter, how much did the restoration change the
height of the leaning Tower of Pisa?

Answers

Answer:

67.32m

Step-by-step explanation:

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