40. A pendulum in a museum swings through
an angle of 60° in 17.3 s. The linear velocity
of the pendulum is 1.32 ft/s. Determine the
length of the pendulum.

Answers

Answer 1

Answer:

  21.81 ft

Step-by-step explanation:

For an arc of measure α and radius r, the arc length is ...

  s = r·α . . . . . . where α is in radians

Then the linear speed is ...

  s' = r·α'

Here the rate of change of arc angle is (π/3)/(17.3) rad/s, so the radius can be found to be ...

  r = s'/α/ = (1.32 ft/s)/((π/3)/17.3 rad/s) = 1.32·3·17.3/π ft

  r ≈ 21.81 ft

The length of the pendulum is about 21.81 feet.


Related Questions

Solve for x:
X- 6 = -3x + 22

Answers

Answer:

Your answer is x=7

Step-by-step explanation:

[tex]x - 6 = -3x + 22[/tex] add 6 to both sides

[tex]x - 6(+6) = -3x + 22(+6)[/tex] cross out -6(+6) and add 22+6=28

[tex]x = -3x + 28[/tex] add 3x on both sides

[tex]x (+3x) = (+3x)-3x + 28[/tex]  x+3x=4x and cross out (+3x)-3x

[tex]4x = 28[/tex] divide 4 on both sides

[tex]\frac{4x}{4} = \frac{28}{4}[/tex] cross out 4 leave x and divide 28 and 4 =7

[tex]x=7[/tex]

Answer:

x=7

Step-by-step explanation:

Reduce to the simplest form. -9/6 + (-3/5)

Answers

Answer:

[tex]-\frac{21}{10}[/tex] or [tex]-2.1[/tex] (they're the same)

Step-by-step explanation:

Simplify: [tex]-\frac{9}{6} + (-\frac{3}{5}) = -\frac{9}{6} - \frac{3}{5}[/tex]  Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18Write the new fractions: [tex]-\frac{45}{30} - \frac{18}{30}[/tex]  Subtract: -45/30 - 18/30 = [tex]-\frac{63}{30} = -\frac{21}{10}[/tex]

I hope this helps!

Answer: -21/10

Step-by-step explanation: khan

what is the slope of the line that passes through the points (5,10) and (11,-12)

Answers

Answer:m=-11/3

Step-by-step explanation:

Answer:

-11/3

Step-by-step explanation:

We have two points so we can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -12-10)/(11 -5)

   = -22/6

    = -11/3

Solve the equation vf=vi+at for a

Answers

vf = vi + at
-at = vi - vf
a = (vi - vf) / -t

if f(x) = x^2, and
g(x) = x-1, then

g(f(x))=x^__+__​

Answers

Answer:

(x^2) + (-1)

Step-by-step explanation:

the equation f(x) BECOMES x in the g(x)

x-1

(x^2) -1

Answer:

g(f(x)) = x^2 + (-1)

Step-by-step explanation:

f(x) = x^2

g(x) = x - 1

Therefore, for g(f(x)), we need to substitute the value of x in f(x) in g(x).

Therefore,

g(x) = (x^2) - 1

      = (x^2) + (-1)

PLEASE MARK MY ANSWER AS BRAINLIEST!!!!!!

You are saving to buy a new phone you have $150 in your bank account and can save $55 each week assuming you don’t spend any money write an expression to represent the amount of money you will have in your bank account after W weeks

Answers

Answer:

150+55w

Step-by-step explanation:

150+55w

150 never changes

(55)(w), 55 changes depending on number of weeks

Answer:

The expression is: 150 + 55W

Step-by-step explanation:

amount already in your a/c = $150

Amount saved per week = $55

Number of weeks to save for is W

Amount saved in W weeks is $55W

Total amount saved in W weeks is $150 + $55W

Ignoring the symbols, the expression is 150+55W

Convert 42,670,000 into an estimated power of 10

Answers

Answer:

4 x 10^7

Step-by-step explanation:

equals 40,000,000

GEOMETRY: need some help on these equations, i'm giving a lot of points for this.

Answers

Answer:

1) ML=93

2) GE=58

Step-by-step explanation:

1)

We want to find ML.

So, we need to find x first.

Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:

[tex]NM+ML+LK=NK[/tex]

And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:

[tex](110+4x)+(x+103)+(70)=x+243[/tex]

On the left, combine like terms:

[tex](4x+x)+(110+103+70)=x+243[/tex]

Add:

[tex]5x+283=x+243[/tex]

Subtract 283 from both sides:

[tex]5x=x-40[/tex]

Subtract x from both sides:

[tex]4x=-40[/tex]

Divide both sides by 4:

[tex]x=-10[/tex]

So, the value of x is -10.

Substitute this into ML to find it. So:

[tex]ML=(-10)+103[/tex]

Add:

[tex]ML=93[/tex]

And we're done!

2)

Here, we want to find GE. This means solving for x again.

Note that HF plus FE equates to the entire segment.

HG plus GE also equates to the entire segment.

Thus:

[tex]HF+FE=HG+GE[/tex]

Substitute 3x-129 for HF and 4 for FE.

Substitute 13x-993 for HG and 3x-185 for GE. Thus:

[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]

Combine like terms on both sides:

[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]

Add or subtract:

[tex]3x-125=16x-1178[/tex]

Add 1178 to both sides:

[tex]3x+1053=16x[/tex]

Subtract 3x from both sides:

[tex]1053=13x[/tex]

Divide both sides by 13:

[tex]x=81[/tex]

So, the value of x is 81.

To find out GE, GE is the 3x-185. So:

[tex]GE=3(81)-185[/tex]

Multiply:

[tex]GE=243-185[/tex]

Subtract:

[tex]GE=58[/tex]

And we're finished!

The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need help pls

Answers

Answer:

G=2H+6. -(1)

Also, G and H are supplementary angles which mean their sum would be180.

G+H=180

G=180-H. -(2)

From (1)&(2)

2H+6=180-H

3H=174

H=58

Hope it helps :-)

which number is between pi ans the square root of 14 ​

Answers

Answer:

3.5

Step-by-step explanation:

pi = 3.14159...

sqrt(14) = 3.74165...

The choices are: 1.5, 2.5, 3.5, 4.5

Of the four choices, the only one between 3.14... and 3.74... is 3.5.

Answer: 3.5

HELPPP PLZZZZ ASAPPPPPP

Answers

Answer:

B. [tex]d = \sqrt{x^2 +y^2}[/tex]

Step-by-step explanation:

0.5444 as a fraction

Answers

1361/2500 or 54.44%.

Answer:

49/90

Step-by-step explanation:

x=0.5444....

10x=5.4444....

1x=0.5444....

9x=4.9

x=4.9/9

x=49/90

hope it might help you

What is the solution to this equation?
X/-2 = 18
O A. X=-36
OB. X=-9
O c. x = 36
O D. x = 9

Answers

the answer is x = -36

what is (9w)^2 (in other words, to the power of two.)

Answers

Answer:

9w to the power of is 81w

Step-by-step explanation:

What are you looking for for the answer?

The elevation of an airplane changes by-420 feet in 12 seconds. What is the change in the airplane's elevation each second?

Answers

Answer:

-35 feet each second

Step-by-step explanation:

Divide -420 by 12:

-420/12

= -35

So, the change in the plane' elevation is -35 feet each second

Answer:

-35 feet per second

-420/12 = -35

simpfly the expression -8x-4=-10

Answers

Answer:

x = 3/4 would be the correct answer.

Step-by-step explanation:

Add four to both sides

Divide both sides by -8

Simplify 6/8 to 3/4

-8x=-10+4
-8x=6

x=-8
6

x=6 =3
8 4


X=3
4

select all the statements that are true

Answers

Answer:

π is irrational because π is a repeating decimal. 7 is irrational because 7 is not a perfect square. 7.1234... is irrational because it is non-terminating, non-repeating decimal. ×7 is rational because 7 is not a perfect square. ×π is irrational because π is not a repeating decimal. ×

NOTE: × means false.

means true.

The midpoint of AB is M(-3,-3). If the coordinates of A are (-8,-2), what are the coordinates of B? Please explain

Answers

Step-by-step explanation:

Hey there!!!

Here,

The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).

Now,

Using midpoint formulae,

[tex](x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]

Put all values.

[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]

As they are equal, equating with their corresponding elements we get,

[tex] - 3 = \frac{ - 8 + x}{2} [/tex]

Simplify them.

[tex] - 6 = - 8 + x[/tex]

[tex]x = - 6 + 8[/tex]

Therefore, x= 2

Now,

[tex] - 3 = \frac{ - 2 + y}{2} [/tex]

Simplify them.

[tex] - 6 = - 2 + y[/tex]

[tex]y = - 6 + 2[/tex]

Therefore, y = -4.

Therefore, the coordinates of B are (2,-4).

Hope it helps...

Solve by elimination:
4x+9y=28
-4x-y=-28

Answers

Step-by-step explanation:

4x+9y=28

-4x-y=-28

8y=0

divide both side by 8

y=0

solve for X in equation 1

4(X)-9(0)=28

4x-0=28

4x =28

divide both side by 4

4x/4=28/4

X= 7

y=0,x=7

what is 1,016 rounded to the nearest thousand

Answers

Answer:

Step-by-step explanation:

1,000

Its the closest from 1000 to 2000

1. A point is named or labeled using? 2. Three distinct points are collinear if ? 3. Three distinct points are coplanar if ? PLZ HELP

Answers

Answer:

1) A point P is named or labeled by using a coordinate pair, where the regular notation is:

P = (x, y).

Where x and y are the horizontal and vertical components.

2) Three distinct points are collinear if exists a line that passes through the 3 points.

3) Three distinct points are complanar if they are not collinear, this means that:

We can have two colinear points (so one line connects them) and another point outside that line.

Then the set of 3 points is coplanar.

A grocery store sells a bag of 3 oranges for $2.79. How much would it cost for 4 oranges?

Answers

Answer:

$3.72

Step-by-step explanation:

$2.79 divided by 3 equal 0.93.

0.93 times 4 equals 3.72.

Answer:

$3.72

Step-by-step explanation:

Step 1:

$2.79 ÷ 3 = 0.93

Step 2:

0.93 × 4

Answer:

$3.72

Hope This Helps :)

Joni has a box that has a mass of 67 dekagrams. She converts this to centigrams. Her work is shown below.

67 dekagrams over 1,000 = 0.067 centigrams

Answers

Answer:Joni should have multiplied by 1,000

Step-by-step explanation:

vickiesmith Beginner       1 answer

Answer:Joni should have multiplied by 1,000

- Naya had 48 tickets for games at the school carnival. She used 1/3 of her tickets to play the
spin-the-wheel game. She used 1/2of the remaining tickets to play a balloon game, where
she won 8 more tickets. How many tickets did Naya have after playing these two games?

Answers

Answer:

16

Step-by-step explanation:

48/3=16

16/2=8

8+8=16

What number must be subtracted from negative 5 for the difference to be negative 2

Answers

hope it helps you .

this is the right answer.

Which function is the inverse of f(x) = 2x+3?

Answers

Answer:

f^-1(x)=x-3/2

Step-by-step explanation:

we have f(x)=2x+3

let

y=f(x)

y=2x+3

Exchanges the variables x for y and y for x

x=2y+3

isolate the variable y

2y=x-3

y=x-3/2

let

f^-1(x)=y

f^-1(x)=x-3/2

Answer:

Step-by-step explanation:

The answer is B on Edgenuity

f^-1 (x) = 1/2x - 3/2

a- 2.25
b-6.75
c-10
d-12

Answers

it would be b - 6.75

Answer:

B. 6.75 in

Step-by-step explanation:

ABCDEF ~ RSTUVQ

➡️ [tex] \frac{A \: F}{QR} = \frac{AB}{RS} [/tex]

➡️ [tex] \frac{9}{4} = \frac{x}{3} [/tex]

➡️ [tex]x = \frac{27}{4} [/tex]

➡️ [tex] = 6.75 \: in[/tex]

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Assessment items














Item 15

A floor rug is rectangular in shape. The width of the rug is 3 ft less than its length. The perimeter of the rug is 42 ft.

What are the rug’s dimensions?

Enter your answer by filling in the boxes.

Answers

Answer:

its not showing ur question

Step-by-step explanation:


3/10 Divided by 3.7

Answers

Answer: 3/37

Step-by-step explanation:

Answer:

0.09375

Step-by-step explanation:

A sample of copper (Cu) contains 69.17% Cu-63. The remaining copper atoms are Cu-65. What is the average atomic mass of copper?​

Answers

The atomic mass is 63.55 amu
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