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Kitty [74]
2 years ago
14

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the c

ircle was 14 feet.Which expression best represents the value of x?

Mathematics
1 answer:
Alchen [17]2 years ago
4 0

Answer:

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?

The expression which represents the value of π is option C from the attachment that is π = 43.96/14

Step-by-step explanation:

Given:

Circumference of the circle = 43.96 feet

Diameter f the circle = 14 feet

So,

We know that :

Circumference of the circle = 2(\pi )r or (\pi)d

Re-arranging the formula:

⇒ (\pi)d = Circumference\ (C)  

⇒ (\pi )d =C

⇒ \frac{\pi\times d}{d}=\frac{C}{d}

⇒ \pi =\frac{C}{d}

Plugging the numeric values:

⇒ \pi =\frac{43.96}{14}

So the expression for π is 43.96/ 14,and option C is the correct choice.

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For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.

We have then:

h = \frac {1} {2} gt ^ 2 + vo * t + h0

Where,

  • <em>g: acceleration of gravity </em>
  • <em>vo: initial speed </em>
  • <em>h0: initial height </em>

For the first body:

h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21

For the second body:

h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

By the time both bodies have the same height we have:

h1 = h2\\

\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

Rewriting we have:

\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50

\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21

\frac {19} {12} * t = 29

Clearing time:

t = 29 (\frac {12} {19})\\t = 18.31s

Answer:

 it takes 18.31s for the two window washers to reach the same height

6 0
2 years ago
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Answer:

a) 51.4

b) answer attached

c) 48.59% female

Step-by-step explanation:

a) Male driver = 100-48.6 = 51.4%

b) answer attached below

c) probability that out of 20-64 group a randomly selected sample is female

( 39.54 ÷ 81.36 ) x 100

= 48.59% chance of her being a female

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A hummingbird can travel up to 15 meters per second. What is the hummingbirds speed in miles per hour? 1 mile = 1609 meters
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A hummingbird flies at an average speed of 25-30 miles per hour and can do a fast dive at up to 60 miles per hour. A: Yes. A cheetah will run at about 70 miles per hour and a hummingbird flies at about 25-30 miles per hour.
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Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π and r ≥ 0. Order your answers from smallest to largest θ
DerKrebs [107]

Answer:

∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,

∅8=345°

Step-by-step explanation:

Data

r = 8 sin(2θ), r = 4 and r=4

iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°

according the graph 2, the cut points are:

I quadrant:

0+15° = 15°

90°-15°=75°

II quadrant:

90°+15°=105°

180°-15°=165°

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180°+15°=195°

270°-15°=255°

IV quadrant:

270°+15°=285°

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No intersection whit the pole (0)

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Answer:

Option C is the correct answer.

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We have perimeter = 4a , where a is the side of square.

Equating

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Area of current office = a x a = 22 x 22 = 484 square feet.

Area of new office is twice the area of current office.

Area of new office = 2 x 484 = 968 square feet.

Option C is the correct answer.

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