A pendulum's first swing has an arc of 36 inches. As the pendulum swings back and forth, the arc length for each successive swing is 95% of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 27 inches? A. 5th B. 6th C. 7th D. 9th

Answers

Answer 1

Answer:

7th

Step-by-step explanation:

Given :

Arc length on first swing = 36 inches

After successive swing, arc length decreases by 95%

Length on 2nd swing = 0.95 * 36 = 34.2

Length on 3rd swing = 0.95 * 34.2 = 32. 49

Length on 4th swing = 0.95 * 32.49 = 30.8085

Length on 5th swing = 0.95 * 30.8085 = 29.268075

Length on 6th swing = 0.95 * 29.268075 = 27.80467125

Length on 7th swing = 0.95 * 27.80467125 = 26.4144376875

26.4144376875 < 27

Hence, length falls below 27 on 7th swing


Related Questions

Can you help me with this math problem?

(x+ 2) ^ 2
(squared)

thankyou

Answers

Answer: x^2 + 4x + 4

Explanation:
just expand, factor out, and add together.

(x+2)(x+2)

x • x = x^2
2x + 2x = 4x
2 • 2 = 4

x^2 + 4x + 4

What is the perimeter of the composite figure?

Enter your answer in the box.
perimeter = yd

Answers

Answer:

what

Step-by-step explanation:

for your answer of this question

perimeter =sum of all side.

sorry I am unable to find perimeter without figure.

Solve the system of linear equations by substitution.
6x - 9 = y
y=-3x

Answers

Point Form: ( 1 , − 3 )

Equation Form: x = 1 , y = − 3

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Brainliest or a thank you please! have a great day/night

Point from (1, 3)

Equation form: x = 1 , y=-3

PLS NEED HELP DON'T UNDERSTAND ONE PART

Answers

Answer:

Step-by-step explanation:

Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees

Answer = 1800 degrees

Hope that helps!

Answer: .

Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.

Determine which of the graphs represent the proportional relationships. Circle the appropriate response.

Answers

So number six the ratio is(3,3) I think and is Non-proportional

Please help me ASAP

Answers

Answer:

b

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

Find the 11th term of the geometric sequence 6, -18,54, ...

Answers

a1 = 6, r = -3
an = a1 * r^n-1 (formula)
a11 = 6 * (-3)^11-1
a11 = 6 * 590949 = 354294
a11 = 354294

Answer:

354294

Step-by-step explanation:

a1 = 6, r = -3

an = a1 * r^n-1 (formula)

a11 = 6 * (-3)^11-1

a11 = 6 * 590949 = 354294

a11 = 354294

4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!

Answers

Answer:

x= 5

Step-by-step explanation:

You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.

Make s the subject of the formula

Answers

Answer:

choose option E.

Step-by-step explanation:

Given

t² = 2p + as

.Making s as the subject

as = t² - 2p

s = ( t² - 2p) / a

t² = 2p + as

t² - 2p = as

(t² - 2p)/a = s

s = (t² - 2p)/a , answer = E

Please help I will give brainliest

Answers

Answer:

Step-by-step explanation:

Jack learned four appetizer recipes over the course of 2 weeks of culinary school. After 5 weeks of culinary school, how many total appetizer recipes will Jack know? Assume the relationship is directly proportional.​

Answers

Answer:

10 appetizers

Step-by-step explanation:

4/2 = x/5

20 = 2x

x = 10

A ladder is leaned against a wall that is six feet tall, so that the top of the ladder is resting on the top
of the wall. The ladder is inclined at an angle of thirty degrees. Find the distance from the bottom of
the ladder to the base of the wall. Round your answer to the nearest tenth of a foot. Do not include
units in your answer.

Answers

Answer:

[tex]10.4[/tex]

Step-by-step explanation:

The ladder leaning against the wall forms a right triangle with the wall and the ground. Therefore, we can use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is distance between the bottom of the ladder to the base of the wall:

[tex]\tan 30^{\circ}=\frac{6}{x},\\x=\frac{6}{\tan 30^{\circ}},\\x\approx \boxed{10.4}[/tex].

5.solve for x 6. solve for x​

Answers

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

----------------------------------------------------------

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Needed help! Answer when possible.

Answers

Answer:

The word "solution" means an action or process of solving a problem

99 is a solution to 1/9x = 11 because  multiplying both side of the equation by 9 makes x = 99

Robert rented a web address for his company's website. His contract required a fee of $25 a month for the web address. However, Robert receives a $0.13 discount for every friend he refers to during a month. There is also a special new customer discount of 15% off the first month. What is Robert's first month's bill, if he refers 6 friends?

Answers

Answer: $20.59

Step-by-step explanation:

0.13 * 6 = 0.78

25 - 0.78 = 24.22

85% * 24.22 = 20.59

Find the missing length.

Answers

9514 1404 393

Answer:

  c = √73

Step-by-step explanation:

The Pythagorean theorem tells you that ...

  c² = a² + b²

The sides you choose to call 'a' and 'b' don't matter. We can let 'a' be the left side and 'b' be the top side. Then we have ...

  c² = 3² +8² = 9 + 64 = 73

Taking the square root gives ...

  c = √73

Answer:

c = [tex]\sqrt{73}[/tex]

Step-by-step explanation:

c is the hypotenuse ( side opposite to the right angle )

So,

[tex]c^{2}[/tex] = [tex]8^{2}[/tex] + [tex]3^{2}[/tex]        (Pythagoras theorem)

c = [tex]\sqrt{64 + 9}[/tex]

c = [tex]\sqrt{73}[/tex]

Algebraic form of an arithmetic sequence is 3/7n+1. What is
the first integer term of this sequence?

Answers

Answer:

First term = 10/7

Step-by-step explanation:

Given:

n term of arithmetic sequence = 3/7(n)+1

Find:

First term

Computation:

First term n = 1

So,

3/7(n)+1

3/7(1)+1

3/7 + 1

First term = 10/7

find the value of a,b,y, and z

Answers

Answer:

^ACD= 90+60+x=180

^ACD=150+x=180

^ACD=x=30.

^DCB=60.

^CDB=90

tan = opposite/ adjacent

tan 60 = 8/a

a = 8/tan 60

a = 4.61880....

a = 4.6 cm (nearest tenth)



sin = opposite/ hypotenuse

sin 60 = 8/y

y = 8/sin 60

y = 9.2376.....

y = 9.2 cm (nearest tenth)



tan 30 = 8/b

b = 8/tan 30

b = 13.8564......

b = 13.9 cm (nearest tenth)



sin 30 = 8/x

x = 8/sin 30

x = 16 cm

Question 3 (1 point) A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.

Answers

Answer:

72

Step-by-step explanation:

Given that :

Triangle is right angled ;

Leg length = 21 ; hypotenus = 75 ; Length of missing leg =?

From Pythagoras :

Length of leg 2 = sqrt[(hypotenus )² - (length of leg1)²]

Let length of leg 2 = x

x = sqrt[(75 ² - 21²)]

x = sqrt(5625 - 441)

x = sqrt(5184)

x = 72

A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.

If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC





Answers

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Find the measure of angle a.

Answers

Answer:

a = 127°

Step-by-step explanation:

The 3 angles lie on a straight line and have a sum of 180°, that is

15° + a + 38° = 180°

53° + a = 180° ( subtract 53° from both sides )

a = 127°

I have 20 lemons. I cut each of them into halves and then cut THOSE halves into some more halves. How many HALVES do I have in all?

Answers

Answer:

80

Step-by-step explanation:

If you have 20 lemons then you half them, you can 40 halves, then after you half those haves you get 80.

The lemons are cut to get the total pieces of 80.

What is fraction?

An element of a whole is a fraction. The number is represented as a quotient in mathematics, where the numerator and denominator are divided.

Calculation for the fraction of the lemons cut:

Let 'x' the total number of lemons.

x = 20

As, the all lemons are cut in halves.

So, the quantity of the lemons are multiplied by 2.

2x = 2×20 = 40

The new value of x becomes 40 now.

Now, again the lemons are cut into halves.

2×40 = 80

Therefore, the total number of lemons after cutting are 80.

To know more about, equality of numerator and denominator in fraction, here

https://brainly.com/question/569881

#SPJ2

'Five times a number minus eight is 17.5.

Answers

Answer:

5.1

Step-by-step explanation:

you need to work backwards.

so do 17.5 + 8 then divide by 5 to get 5.1

i hope this helps :)

if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B​

Answers

Answer:

6

Step-by-step explanation:

because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry

Answer:
12 cm
Explanation:
A mid point is halfway between to points. If from A to B is 12 and B is the midpoint of AC, we know BC is 12 as well.
Here is a visual representation:

A___12___B___12___C

Have a wonderful day :)

Please help me please I’m begging you , no wrong answers

Answers

I think the answer is 167$ for 2,500 minutes but you can check it before answering.

How would you describe the slice that created the rectangular
cross-section on this cake?
A-perpendicular to
the base
B. diagonal to the
base cutting off
exactly 1 vertex
C. diagonal to the
base cutting off
exactly 1 edge
D. parallel to
the base

Answers

Answer:

The answer is perpendicular to the base.

Step-by-step explanation:

Answer:

The answer is perpendicular to the base.

Step-by-step explanation:

Took the quiz! :)

what is 15% of a circlee in degrees

Answers

54.
Explanation: 360*.15=54
54 degrees because a full circle is 360

If x • y = z, which of the following statements is true?
z/y=x
x/z=y

I need the right answer I'm on the last attempt plz

Answers

The answer is: z/y=x

1. x+1 when x=10


2. 5y-8 when y=6


3. 6t-9m when t=5 and m=3


4. 62/2 when x=10


5. 5h3-3j2+20​​ when h=4 and j=5

Answers

Answer:

1

X is equal to 10

10 plus 1 equals 11

2

y is equal to 6

30 minus 8

is equal to 22

3

m equals 3 and t equals 5

30 minus 27

is equal to 3

4 not written properly

5 not written properly

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