The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?

Answers

Answer 1

Answer:

[tex]S_g= 33.333cm[/tex]

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

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

Mathematically solving for total distance traveled we have

    [tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]

    [tex]S_g=\frac{30}{0.9}[/tex]

Therefore the total distance traveled  by the pendulum after 5 swings

    [tex]S_g= 33.333cm[/tex]


Related Questions

Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.

Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.

k
8
12
k+2
k+8
k+10
k-2
k-8

Answers

Answer:

Step-by-step explanation:

The expression for the total distance covered.

k + (k + 8) + (k - 2)

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Distance biked:

Jackson = k

Maria = k + 8

Peter = k - 2

Now,

The total distance biked.

= k + k + 8 + k - 2

= 3k + 6

= 3 (k + 2)

Thus,

The total distance covered is 3 (k + 2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Write the fraction 9/12 as a percent

Answers

9/12 = 75%

if any questions just ask.

Answer:

75%

Step-by-step explanation:

9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.

l hope it helps you ❤❤


Find the value of x in rectangle BCDE.
Find Value of x.

Answers

Answer:

34

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

2x=x+34

-x   -x

x=34

TADA! :D

In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)

, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)

, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)

. What is the value of x?x?

Answers

Answer:

x=11

Step-by-step explanation:

Using the Exterior Angle Theorem. . .

(3x+8) + (2x+9) = (8x-16)

Solve to get x = 11

maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood


help ;-;...

Answers

Answer: 26

Step-by-step explanation:

62-36=26

Answer: 26

You simply have to subtract 36 from 62

Can you please help me with this???

Answers

Answer:

SQT = 100

Step-by-step explanation:

A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.

what is the value of x? -6x=90
Please show you got the answer

Answers

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

(4) B is the midpoint of AC, D is the midpoint of CE, find BD.

Answers

Answer:

A :10.5 is the answer

Step-by-step explanation:

PLEASE HELP ASAP!!

The graph represents which system of inequalities?

A.) y<=-2x+3
y<=x+3

B.) y>=-2x+3
y>=x+3

C.) y<=-3x+2
y<=-x+2

D.)y>-2x+3
y>x+3

Answers

Answer:

Its the yellow area

Step-by-step explanation:


7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps

Answers

Correct option :[tex]= \color{plum}\bold{(b) \: 2,700}[/tex]Steps to derive answer :

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]

Then, the cost price of this bicycle :

[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]

[tex] = \tt \frac{285000}{114} [/tex]

[tex] =\color{plum} \tt2500[/tex]

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]

[tex] = \tt2500 = \frac{100x}{108} [/tex]

[tex] =\tt 100x = 2500 \times 108[/tex]

[tex] = \tt100x = 270000[/tex]

[tex] =\tt x = \frac{270000}{100} [/tex]

[tex] =\color{plum}\tt x = 2700[/tex]

Therefore, the selling price with a profit of 8% will be = 2700

Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27

Answers

Answer:

Yes that function does •h(x)=x^2/x^2-6x-27

Step-by-step explanation:

Yes that function does •h(x)=x^2/x^2-6x-27

need help FAST not sure

Answers

9514 1404 393

Answer:

  7.  obtuse

  8.  right

  9.  acute

Step-by-step explanation:

You can look at the difference ...

  a^2 + b^2 -c^2

where c is the longest side. You can classify the triangle based on the result:

  > 0 -- acute

  = 0 -- right

  < 0 -- obtuse

__

7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95  ⇒  obtuse

8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0  ⇒  right

9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5  ⇒  acute

_____

There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.

Need help with this question

Answers

Answer:

Correct answer is no. 1

Step-by-step explanation:

Answer:

Choice A, or the first choice, should be the answer

Step-by-step explanation:

By using the process of elimination, you can cross out choices B and C because the speed limit is 30.

The speed limit is 30, thus your speed can be at 30 mi/h.

Choice A is the last and the correct answer.

I need help I don’t get the question

Answers

They are equal to each other
9x - 7 = 7x - 3
2x = 4, x = 2
Solution: x = 2

Answer:

2

Step-by-step explanation:

9x-7 = 7x-3

9x-7x = 2x

2x -7 = -3

   +7   +7

2x=4

x=2

Solve: a + 4 = 48
a = 43
a = 51
a = 44
a = 52

Answers

Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48  FALSE

51 + 4 = 48

55 = 48  FALSE

44 + 4 = 48  TRUE

52 + 4 = 48  FALSE

Hope this Helps!!!

Answer:

Your answer would be a= 44

Step-by-step explanation:

44+4=48

To check: 48-4=44

Therefore, your answer is 44

can someone helPPPPPPPPPPPPPPPPPP

Answers

i believe it’s option #3. hopefully that helps :)

It costs $3.45 to buy ¾ lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning.

Answers

Answer:

It would cost $ 34.5

Step-by-step explanation:

Given,

The cost of 3/4 lb of chopped walnut = $ 3.45,

So, the cost of 1 lb of chopped walnut = 4/3*3.45

=4*1.15

= $ 4.6,

Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut

= 7.5 × 4.6

= $ 34.5

7. Triangles CDE and RST are similar triangles. What is
the length of side CD in triangle CDE?
R
40 ft.
32 ft.
20 ft.
T
S

Answers

Answer:

CD = 25 ft

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle RST[/tex]

[tex]\therefore \frac{CD}{20}=\frac{40}{32}[/tex]

(Corresponding sides of similar triangles are in proportion)

[tex]\therefore \frac{CD}{20}=\frac{5}{4}[/tex]

[tex]\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}} [/tex]

[tex]\therefore CD = 5\times 5[/tex]

[tex]\therefore CD = 25\: ft[/tex]

Answer:

CD = 25 ft

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{RS}[/tex] = [tex]\frac{CE}{RT}[/tex] , substitute values

[tex]\frac{CD}{20}[/tex] = [tex]\frac{40}{32}[/tex]  ( cross- multiply )

32CD = 800 ( divide both sides by 32 )

CD = 25

3х - 2y = 1 in standard form

Answers

Answer:

y= (3x-1)/2

Step-by-step explanation:

Find the slope of a line that passes through (4, 1) and (6, 5).
plssss show your work thx plssss

Answers

Answer:

Slope = 2

Step-by-step explanation:

Answer:

is this what youre looking for ?

Step-by-step explanation:

Input Data :

Point A  ( x A , y A )  = (3, 2)

Point B  ( x B , y B )  = (7, 10)  

Objective : Find the slope of a line that passes through points A and B.

Formula : Slope  m =  y B − y A /x B − x A

Solution: Slope m = 10 − 2 /7 − 3  = 8 4

m = 2

Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater

Answers

Answer: 3/6

Step-by-step explanation:

If you convert them into decimals you get

3/8 = 0.375

3/6 = 0.5

Answer: 3/6 is greater

Step-by-step explanation:

share 1200kg in the ratio 3:37

Answers

Answer:

3+37=40

3/40×1200=90kg

37÷40×1200=1110kg

Step-by-step explanation:

''.''

Answer:

[tex]3x+37x=40x\\40x=1200kg\\x=\frac{1200}{40} \\x=30kg\\[/tex]

[tex]3x=30kg*3=90kg\\37x=30kg*37=1110kg[/tex]

Carlotta has a blue sweater, a red sweater, a pink sweater, and a white sweater. She also has a pair of black pants
and a pair of brown pants. Which of the following shows how many different ways she can wear a sweater and pair of
pants together?


!!!!!!WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

The answer is D.

Step-by-step explanation:

The answer is c I think

Which expressions are equal to 105?

Answers

Answer:

2•2²×100+5.

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAILEST TO CORRECT ANSWER!!!!
Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.

Answers

Answer:

opps type miss

Step-by-step explanation:

miss type

Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10

Answers

Answer:

-4x - 10

Step-by-step explanation:

Given the expression -2/3(6x+ 15)

Open the bracket

-2/3(6x+ 15)

= -2/3 (6x) -2/3(15)

= -2(2x) - 2(5)

= -4x - 10

hence the equivalent expression is -4x - 10

Describe and correct the error in using properties of parallelograms.

Answers

Answer/Step-by-step explanation:

Opposite angles of a parallelogram are equal to each other.

Therefore, <S = <U, and <T = <V

Consecutive angles of a parallelogram are supplementary.

Therefore,

m<S + m<V = 180°

50° + m<V = 180°

m<V = 180° - 50° (subtraction property of equality)

m<V = 130°

I need this answer ASAP

Answers

Answer:

i think the area is 60 i added it up

Marking brainless (how ever u spell this)!

Answers

Answer:

brainliest*

Step-by-step explanation:

c

anyone know how to do this help

Answers

Answer:

Height if the tree: 13.8 meters

Answer:

Height of the tree: 13.8 meters

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