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

guys i need help please


i'll give you brainliest if you can help me
this is quadratics

Answers

I would help but I’m not sure how, please do not press that link or else it will track your address! <33

solve (x-3)^2=5
A. x=5+√3
B. x=-3+√5
C. x=3+√5
D. x=8 and x=-2

Answers

Answer:

A

Step-by-step explanation:

we should first find the value of x.

Answer:

C

Step-by-step explanation:

(x-a)^2=5

x-3=root of 5

x= root of 5 +3

Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answers

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

2/3 divided by 3/6 is : help asap​

Answers

the answer is 4/3 OR 1 1/3 :)

2/3 / 3/6= 1 1/3
Let me know if you need me to show how to solve it

Martha was making apple tarts. She added 1/2 cup of sugar in the beginning. Later, she added another 1/4 cup of sugar. Martha estimated that she added about 1/6 cup of sugar in all. Is Martha's estimate reasonable?

Answers

Answer: her answer is NOT reasonable because 1/2 is bigger that 1/6. The real addition to 1/2 and 1/4 is 3/4.

Step-by-step explanation:

1/2 is 2/4 and 1/4 stays the same because it is the common denominator

Add them and you get 3/4

You roll two six-sided fair nukber cubes.Whatbis the probability that you will roll snake eyes(both ones)?

Answers

Answer:

1/36

Step-by-step explanation:

Each dice has a 1 in 6 chance to land on a 1, but for both dice to land on 1's it would be [tex](\frac{1}{6} )(\frac{1}{6})[/tex]=[tex]\frac{1}{36}[/tex]

20
5. A cook needs 10 pounds of flour. He wants to spend the least amount of money. A 2-
pound bag costs $1.59 and a 5-pound bag costs $2.89, which should he buy in order to spend
less money? *

Answers

Answer:

He should buy two of the 5-pound bag.

Step-by-step explanation:

The cook needs 10 pounds of flour.

He wants to spend the least amount of money.

First option is a 5-pound bag for $2.89 each.

He can get 2 of the 5-pound bag which equals 10 pounds of flour for 2 x $2.89 = $5.78

Second option is a 2-pound bag for $1.59 each.

He can get 5 of the 2-pound bag which equals 10 pounds of flour for 5 x $1.59 = $7.95.

Second option is $2.17 costlier than the first option.

So, he should go for 2 of the 5-pound bag in order to spend the least amount of money while shopping for 10 pounds of flour.

smeone invests £800 at a rate of 2% simple interest per year. Work out the amount of interest she receives after three years.

Answers

Answer:

£48

Step-by-step explanation:

I=Prt

I=(800)(0.02)(3)

I = 48

Answer:

the simple interest earned was £48.

Step-by-step explanation:

the appropriate simple interest formula is i = prt, where r is the annual interest rate as a decimal fraction.  Here, with prt = (£800)(0.02)(3 yr), we find that the simple interest earned was £48.

— 7x — 4y = — 44
7x — Зу = 16

Answers

Answer:

-7x-4y+4y=-44+4y

-7x=4y-44

-7x/-7= 4y-44/-7

x=-4/7y+44/7

x=-4/7y+44/7

Step-by-step explanation:

Which is the correct spelling of trigonometry

Answers

Answer:

trigonometry

Step-by-step explanation:

hope this helps lovely

Answer:

trigonometry

Step-by-step explanation:

Have a great day!

2 - 2 help pls ill give you brainliest

Answers

Answer:

0..........

Step-by-step explanation:

If a factor of a polynomial is x-5, what is the zero?​

Answers

Answer:

x = 5

Step-by-step explanation:

Because the factor of the polynomial is x - 5, we can infer that the zero would be the solution of this equation: x - 5 = 0

Therefore, the zero is x = 5.

The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc

Answers

Answer

3π is the answer here is the steps I couldn't write it I'm busy so I just wanted to help I hope it helps


√5 is between _________ and __________.

-√30 is between _________ and _________.

-√15 is between __________ and _________.

√18 is between __________ and __________.

√72 is between __________ and __________.

-√125 is between _________ and __________.​

Answers

Answer:

2 and 3, -5 and -6, -3 and -4

Step-by-step explanation:

list all of your perfect squares

[tex]\sqrt{1}, \sqrt{4} ,\sqrt{9} , \sqrt{16} , ...\\[/tex]

So [tex]\sqrt{5}[/tex] is between [tex]\sqrt{4} and \sqrt{9}[/tex] so it is between 2 and 3

If that is a negative [tex]\sqrt{30}[/tex] then it is between square root of 25 and 36, which would be -5 and -6

-[tex]\sqrt{15}[/tex] is between  [tex]\sqrt{9} and \sqrt{16}[/tex] so -3 and -4

I have a test tmrw pls help

Answers

The answer is 5x -2y = 3

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

If y lies on a number line , and x is added to y , which of the following would be true about the location of y + x?

Answers

Answer:

Step-by-step explanation:

If x is a positive number then y + x lies to the right of y, if x is a negative number then the location of y + x will be to the left, if x is zero then y and y + x are the same point

Please help! I need help.

Answers

Answer:

Supplementary

Step-by-step explanation:

Two angles are "supplementary" when their degree values add up to 180.

Another similar word is "complementary" where angles add up to 90.

;) tip: memorize the words

A(5,1)B(x,7) C(8,2) are three points such that AB=2AC find all values of x

Answers

Wrongggggggggggggggggggggg

hey its mathematics please and thank you

Answers

12.93 because 20.56-7.63= 12.93 <3

Which equation represents the relationship between m and d on the chart below?
Plssss Hurry!!

Answers

Answer:

I guess the answer is 6.the last choice

Select all expressions that are equivalent to 2x+3x+8-3x-2.

Answers

Answer:

2x+6 since the +3 and -3x cancel each other out your only left with 2x

Evaluate -8 × (-10 + (-7))

Look at the image for more understanding.

Answers

there you go ! hopefully this helps

Answer:

The answer is 136.

Step-by-step explanation:

1) Remove parentheses.

[tex] - 8 \times ( - 10 - 7)[/tex]

2) Simplify -10 - 7 to -17.

[tex] - 8 \times - 17[/tex]

3) Simplify.

[tex]136[/tex]

Therefor, the answer is 136.

which of the following polynomial equations is x=3 a zero? select all that apply​

Answers

Answer:

123 is it okay

Step-by-step explanation:

1=2=3=1

Use the Distributive Property to simplify the expression. 5(x - 1)

Answers

Answer:

5x - 5

Step-by-step explanation:

Answer:

[tex]\bold{5x-5}[/tex]

Step-by-step explanation:

Hi there!

The Distributive property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

So, we take a number a, multiply it by b and c, and then add the products.

Now, let's solve the given math problem:

[tex]\bold{5(x-1)}[/tex]

[tex]\bold{5x-5}[/tex]

Hope it helps! Enjoy your day!

~Just a teen willing to help others

[tex]\bold{-Besties4Ever:-):-):-):-):-):-)}[/tex]

HELP PLEASE, I will mark brainless

Answers

to find the slope take two ordered pairs and put them in form of x2-x1/y2-y1 and then you can find the slope.

(-2,17) (-3,20)

(-2)-(-3) = 1
(17)-(20)=-3

slope is 1/-3

Can someone help me with this it’s timed !!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

1. A

2. Missouri Compromise

3. Abolition

Step-by-step explanation:

how many true solutions are in x^2− 6x − 7 = 0

Answers

There are 2 true solutions in x^2-6x-7=0

What Is The Measure Of X?

Answers

Answer:

Its a:70 degrees..........

Answer:

60 degrees

Step-by-step explanation:

This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60

If angle DCA measures 40 degrees, what does angle ACB measure?

Answers

*see attachement for the diagram that is being referred to

Answer:

m<ACB = 50°

Step-by-step explanation:

From the diagram, <DCB is a right angle = 90°

Therefore:

m<DCA + m<ACB = 90° (complementary angles)

m<DCA = 40° (given)

Thus:

40° + m<ACB = 90° (Substitution)

m<ACB = 90° - 40° (Subtraction property of equality)

m<ACB = 50°

What is the answer to g(-9)

Answers

Answer:

-9g

Step-by-step explanation:

Move -9 to the left of g

I think this is right, sorry if it is wrong, have a great day

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