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FinnZ [79.3K]
4 years ago
5

The entire class held hands forming a big circle if the circle was 40 feet across the center then it was how many feet around ro

und the answer to the nearest foot
Mathematics
1 answer:
Virty [35]4 years ago
4 0

The circle was 126 meters around.

Step-by-step explanation:

Step 1; It is given that the big circle was 40 feet across the center. This implies the distance from any particular point on the circle to any other point is 40 feet. This means the diameter of this given circle is 40 feet. Any given circle's radius is 0.5 times the diameter of that same circle. So we divide 40 by 2 to get the circle's radius. So the radius is 40/2=20 feet. So the radius of this given circle is 20 feet.

Step 2; To find how many feet around means we need to find perimeter and not area. Area means the region inside the circle whereas perimeter is how long the circle is i.e how long the circle around is. So the distance around this circle is 2 multiplied with pi and its radius. The distance around any given circle = 2πr.

Perimeter of this circle = 2 × 3.141592 × 20 = 125.6637 feet.

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yes, this forms a right angle

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Find the slope of the line graphed below.
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Slope: -3/5

Step-by-step explanation:

6 0
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What is the difference? −43−(−18) Enter your answer in the box.
gulaghasi [49]

Hello!

Answer:

-25

Step-by-step explanation:

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An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 44 and σ = 5.0. (a) What is
aalyn [17]

Answer:

Step-by-step explanation:

Using normal distribution,

z = (x - μ)/σ

μ= mean = 44 and

σ = standard deviation= 5.0

a) The probability that yield strength is at most 40=

P( x lesser than or equal to 40)

z = (40-44)/5= -0.8

Looking at the normal distribution table,

P( x lesser than or equal to 40) =0.2119

b) P(x greater than 62) = 1 - P(x lesser than or equal to 62)

z = (62-44)/5= 3.6

Looking at the normal distribution table,

P(x greater than 62) = 1 -0.99984

= 0.00016

c)P( 42 lesser than or equal to x lesser than or equal to 62)

= P(x lesser than or equal to 62) - P( x lesser than or equal to 40)

= 0.99987-0.2119= 0.78797

d) What yield strength value separates the strongest 75% from the others.

To get x for strongest 75, we get the z value corresponding to 0.75 from the table

z = 0.675= (x-44)/5

x = 3.375+44 = 47.375

The rest is 25% = 0.25

we get the z value corresponding to 0.25 from the table)

z = -0.67 = (x-44)/5

-3.35= x -44

x = -44+3.35= 40.65

yield strength value that separates the strongest 75% from the others

=47.375-40.65= 6.725

3 0
3 years ago
An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the
DedPeter [7]

<em><u>The inequality can be used to find the interval of time taken by the object to reach the height  greater than 300 feet above the ground is:</u></em>

d = -16t^2 + 1000

<em><u>Solution:</u></em>

<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the  formula:</u></em>

d = -16t^2 + 1000

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

-16t^2 + 1000 > 300

Solve the inequality

Subtract 1000 from both sides

-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700

16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61

Time cannot be negative

Therefore,

t < 6.61

And the inequality used  is: -16t^2 + 1000>300

6 0
3 years ago
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