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amid [387]
3 years ago
13

Arc Length: The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 4 f

eet and the angle through which it swings is 20 degrees, how far does the tip of the pendulum travel in 1 second?
Mathematics
1 answer:
Karolina [17]3 years ago
5 0
Imagine the path of the tip of the pendulum as an arc of a circle. The circle would have a radius of 4 feet and the arc would be 20 degrees. To calculate the length of the arc, you need to find 20 degrees of the circumference. 

Length of Arc = 2*pi*R*Degree of arc/360 
Length of Arc = 2*pi*4*20/360 
Length of Arc = 8pi * 1/18 
Length of Arc = 4/9 pi feet 
<span>Length of Arc ~ 1.396263402 feet 

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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The length of a rectangle is 4 centimeters less than twice its width. The perimeter of the rectangle is 34 cm. What are the dime
yarga [219]

Let l and w be the length and width of the rectangle. We know that l=2w-4

The formula for the perimeter is P=2(w+l)

Using our substitution, it becomes

P=2(w+2w-4)=2(3w-4)=6w-8

We know that the perimeter is 34, so we have

6w-8=34 \iff 6w=42 \iff w=7

The length is 4 less than twice the width, so we have

l=2\cdot 7 - 4 = 10

3 0
3 years ago
If the volume of a cube is increased by a factor of 10 (so that the new volume is 10 times the size of the original volume), by
Alexeev081 [22]

Answer:

surface area of cube 10^{\frac{2}{3} } time

Step-by-step explanation:

given data

new volume =  10 time original volume

to find out

what factor surface area change

solution

we consider here side of cube is a

and volume is V

we consider here a is 2

then volume will be v1 = a³ = 2³ = 8

and surface area = 6a²    = 6(2)² = 24    ..........1

so if volume increase 10 time

than

V = 10 × v1

a³ = 10 × 8

a³= 80

a = 2 × ∛10

and

surface area increase here

surface area = 6a²

surface area = 6( 2 × ∛10 )²

surface area = 24 × 10^{\frac{2}{3} }    ............2

so from equation 1 and 2

surface area / surface area = 24 × 10^{\frac{2}{3} }  / 24

surface area = 10^{\frac{2}{3} }

so here surface area of cube will be 10^{\frac{2}{3} } time

5 0
4 years ago
Simplify the expression (2/9) ^2
prohojiy [21]

Answer:

A 4/81

Step-by-step explanation:

(2/9)² is the same as 2/9×2/9, which is 4/81.

4 0
3 years ago
What is the probability of winning a raffle if there are 500 tickets and you got 5
Elza [17]
Probablity is (desired outcomes)/(total possible)

desired is your tickets: 5
total possible=500

probability is 5/500=1/100=1%
6 0
4 years ago
Help me <br> pleeeeease and please do it fast cause i need it quickly
Luden [163]

Answer:

i think its c

Step-by-step explanation:

Hope this helps!!

6 0
3 years ago
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