A pendulum is swinging back and forth. After ttt seconds, the horizontal distance from the bob to the place where it was released is given by \qquad H(t) = 7 - 7 \cos \left(\dfrac{2\pi (t-2)}{20}\right)H(t)=7−7cos( 20 2π(t−2) ​ )H, left parenthesis, t, right parenthesis, equals, 7, minus, 7, cosine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 2, right parenthesis, divided by, 20, end fraction, right parenthesis. How often does the bob cross its midline? Give an exact answer

Answers

Answer 1

Answer:

Every 10 seconds

Step-by-step explanation:

The bob crosses its midline whenever cos(2π(t-2)/20)=0.

Since cosθ=0 when θ=±π/2 + 2πn, we can find then the bob crosses its midline by solving:

2π(t-2)/20 = ±π/2 + 2πn

t-2 = ±5+20n

The solutions are when t = -3, 7, 17, 27, 37, ...

Therefore, the bob passes its midline every 10 seconds.


Related Questions

A. C=5/9F-32
B. 5/9C=F-32
C. 5/9F-160/9
D. 9/5C=5/9F-160/9

Answers

Answer:

Step-by-step explanation:

C = (5/9)(F-32)

distribute the 5/9:

C = (5/9)F - 160/9


Can some one help me with number 1

Answers

Answer:

The graph going down answers are 3,-1, -5, and then -9

Step-by-step explanation:

number from 1 to 12 stands for--

1) hours
2) minutes​

Answers

Answer:

hours

Step-by-step explanation:

12 hours on an analog clock. there are 60 minutes in an hour, not 12.

Hours becuase there are 24 hours in a day which is split in half for the clock so that’s 12

Mr Bryce planted a garden in his backyard the length and width of the garden are shown below. what is the area, in square meters, of Mr. Bryce's garden.

Answers

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Find each missing length to the nearest tenth

Answers

Answer:

Step-by-step explanation:

Let's do this step by step!

The hyponteuse is 7.7 because it is the longest side of a 90 degree angle.

the formula for this would a^2 + b^2 = c^2

 3.3^2 + b ^2 = 7.7^2

 10.89 + b^2 = 59.29

- 10.89            - 10.89       subtract from both sides

  b^2 = 48.4

[tex]\sqrt{b} = \sqrt{48.4} \\[/tex]

b = 6.95701085237

round to the nearest tenth ---> 7

The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. What was the temperature at 6 am?

Answers

Answer:

62 degrees

Step-by-step explanation:

Points (12,440 and (20,20)

Slope = -3

Equation of line: y - 44 = -3(x - 12)

Plug in x = 6 to get y = 62.

pleaseee help ill marl brainliest!

Answers

Answer:

c

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

help me I just need this please ​

Answers

Answer:

160:140

Step-by-step explanation:

8+7 = 15

60000/15 = 4000

4000/200=20

therfore the dimensions are 20 times the amount

8x 20 = 160

7x 20 = 140

i need some help on this, thanks!

Answers

Answer: C: 9.6

Step-by-step explanation:

9.6-3.4=6.2

Answer:

C. 9.6

Step-by-step explanation:

n - 3.4 = 6.2

n = 6.2 + 3.4

n = 9.6

Find the length of segment CD.

Answers

Answer:

62 causED its 12:51

Step-by-step explanation:

Cause its 62 bY 68

Answer:

I think the whole Line would be 16

Step-by-step explanation:

You have to use the Pythagorean Theorem.

so do 6^2 + x^2 = 10^2

then solve and you get x^2 = 64 which means x=8

then since CE and ED are the same and congruent lines ED will also be 8 so you add the 8 up and get 16.

sorry if I'm wrong

Hope this HelpsHelps

Please give me Brainliest!

heyyy if you could answer this asap i'd be grateful <33

Answers

Answer:

D and E ( the last two )

Step-by-step explanation:

[tex]x = 16 \: y = 4 \\ y = x - 12 \\ y = 16 - 12 = 4 \: ok \\ y = \frac{1}{4} x = \frac{1}{4} 16 = 4 \: ok \\ [/tex]

HELP WHAT IS THE SLOPE!!!!!!

Answers

Answer:

the slope is going to be the same

Step-by-step explanation:

-5/3

slope is the same with a different intercept point

your mom bro because you know it’s yeah so shut up

A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder with a height of 9in and a diameter of 8in. The paper label is wrapped around the can and covers only the side of the can (not the top or bottom). If the company makes 15 labels, how many square inches of paper will be needed? Use 3.14 for π, and do not round your answer.

Answers

Answer:

423

Step-by-step explanation:

Firstly we need to find the circumference of the circle.

Circumference = 2 × Radius with Pi

=2×8×3.14= 50.24

Now we must find the area of 1 label.

Area of 1 label= 3.14 × 9= 28.26cm²

Multiplying by the number of labels =

28.26 × 15

= 423.9 cm²

So, we'll just keep the answer 423 because we were asked how many square inches of paper will be needed.

what is the sum 0 of -1​

Answers

Answer:

If you mean 0 + (-1) then it's -1

(x-5) (x-5) =?
what is the answer?

Answers

Answer:

D

Step-by-step explanation:

FOIL: x^2-10x+25

Answer:

x*2 -10x+25

so it would be D

5Step-by-step explanation:

For the line above, what is the slope? *

Answers

Answer:

1

Step-by-step explanation:

Find the rise over run

Rise = 3

Run = 3

3/3 = 1

Slope = 1

Answer:

1

Step-by-step explanation:

First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1

Hope this helps

Please help me with this surds question.

Answers

the answer is 0.2 or one fifths

plity -2 -6.452 - 6+(-3.252).​

Answers

Anser -17.704

Step-by-step explanation:

i used a calculator

Mel is taking her holidays. She receives $2937.50. This includes her normal pay
and 17.5% leave loading. How much is the leave loading?

Answers

17.5% leaving load
You do 0.0175 divided by the money
$2937.50
———-
0.0175

can anyone please help me?

Answers

Answer:

The answer is 1080°

Step-by-step explanation:

You want to buy a pair of shoes that cost $75.00, but they are 25% off. How much would you have to pay after the discount?
plss anwser quickly

Answers

Answer:56.25

Step-by-step explanation:

Answer:

$56.25

Step-by-step explanation:

75 x .25 = 18.75

75 - 18.75 = 56.25

a triangle has sides with lengths of 3 miles 4 miles and 5 miles is it a right angle ​

Answers

Answer:

yes

Step-by-step explanation:

pls give me brainlest

Yes ? , I don’t understand what you’re asking

what do girls do that turn u on? guys i need help pls, i’m a girl loll ;)

Answers

Answer:

that depends tbh

Answer: umm well... i answer for the council of boys and your answer is  basically anything XD

Step-by-step explanation:

have a good day lad :)

In ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. Find the measure of ∠R to the nearest degree

Answers

Answer: 57

Step-by-step explanation:

The value of the angle ∠r is equal to 56.63°.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that in ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. The value of angle ∠r will be calculated as,

r² = p² + q² -2pqcos(r)

(7.7)² = (8.5)² + (1.7)² - 2 x 8.5 x 1.7cos(r)

59.29 -75.14 = -28.9cos(r)

cos(r) = 15.85 / 28.9

cos(r) = 0.55

r = cos⁻¹(0.55)

r = 56.63°

To know more about trigonometry follow

https://brainly.com/question/16911370

#SPJ5

What is 18 2/3 divided by 4?

Answers

Answer:

4.65 or 4.67

depends on who you ask

Sarah has $240 and she gives her mum $80 what fraction of the money does Sarah have left give the fraction in its simplest form

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

$240 - $80 = 160

[tex]\frac{160}{240} = \frac{2}{3}[/tex]

[tex]\frac{160 | 80}{240 | 80}[/tex] = 2/3

2/3! your welcome!! :)

explanation:
240-80=160 so
140/240 simplified= 2/3

Simplify to create an equivalent expression. 8(10 - 6x) + 3(-7x - 2)​

Answers

Answer:

74-69x

Step-by-step explanation:

8(10-6x)+3(-7x-2)

80-48x-21x-6

80-6-48x-21x

74-48x-21x

74-69x

if the letters of Mississippi are put into a bowl what are the theoretical probabilities of choosing each letter

Answers

The probability of choosing...

M - 1/11
I - 4/11
S - 4/11
P - 2/11

What is the slope of line that passes through the points (-3,13) and (5,-7)

Answers

Answer:

-5/2

Step-by-step explanation:

Graphs of the functions f and g are shown in the xy-plane. For which of the following values of x does f(x) + g(x) = 0?

Answers

Answer:

-2

Step-by-step explanation:

The functions of f(x) and g(x) are given

For f(x)+g(x)=0 , functions f and g should be in opposite sign

We can observe that at x=−2 , f(x)=2 and g(x)=−2

Therefore f(−2)+g(−2)=0

So the correct option is D (-2)

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