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3 years ago

How do you work out the circumference of a circle using diameter?

1 answer:

azamat3 years ago

5 0

We can get the Circumference of a circle with the diameter by using the formula:

Circumference = Diameter * pie
Where, pie = 22/7 = 3.14

Hope this helps!

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The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean o

Elis [28]

<span>mean of 3.2 pounds and standard deviation of 0.8 pound</span>

5 0

3 years ago

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$

$side = \frac{36}{\sqrt{3}}$

Hence, area of the hexagon will be: $648\sqrt{3}$ square units

(24)

Given is the inradius of an equilateral triangle.

$Inradius = \frac{\sqrt{3}}{6}*side$

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = $\frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3}$ square units

4 0

3 years ago

One jar holds 16 red marbles and 4 blue marbles. A second jar holds 75 white marbles and 25 blue marbles. What is the probabilit

bezimeni [28]

Jar 1 : 16 red, 4 blue....total = 20
P(blue) = 4/20 reduces to 1/5

jar 2 : 75 white,25 blue...total = 100
P(blue) = 25/100 reduces to 1/4

P(blue,blue) = 1/5 * 1/4 = 1/20 or 0.05 or 5%

7 0

2 years ago

Read 2 more answers

Lakeview is 101 miles from Springfield. Irania must go to the law library in Springfield to get a document for the law firm for

Arlecino [84]

Answer: Approximately 4.1224 hours

4.1224 hours = 4 hours, 7 minutes, 21 seconds approximately

===========================================

Work Shown:

d = distance = 2*101 = 202 miles

r = rate or speed = 49 mph

t = time = unknown

d = r*t

202 = 49*t

49t = 202

t = 202/49

t = 4.1224 hours approximately

--------------

If you want to convert to hours,minutes,seconds, then...

4.1224 hours = 4 hours + 0.1224 hours

4.1224 hours = 4 hours + (0.1224*60) min

4.1224 hours = 4 hours + 7.344 min

4.1224 hours = 4 hours + 7 min + 0.344 min

4.1224 hours = 4 hours + 7 min + (0.344*60) sec

4.1224 hours = 4 hours + 7 min + 20.64 sec

4.1224 hours = 4 hours + 7 min + 21 sec ..... approximate

4.1224 hours = 4 hours, 7 min, 21 sec .... also approximate

Note: this time value is driving time only. It does not take into account any time spent at the law library or any other stops.

4 0

3 years ago

1: a 24 ounce box of cornflakes cost $4.59?

mestny [16]

The unit rate for the 1st one is: $0.19 / ounce

The unit rate for the 2nd one is: $0.16 / ounce

The 36 ounce box would be the better buy because it is less per ounce than the 24 ounce box

8 0

3 years ago

Read 2 more answers