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eduard
2 years ago
14

A circle has a radius of 20 centimeters and a central angle that measures 216 degrees. What is the length of the arc defined by

this central angle. The arc length is___cm.
Mathematics
1 answer:
Bumek [7]2 years ago
8 0

Answer:4320cm

Step-by-step explanation:

(length of the arc)/(length of the radius)=central angle

lengthof the arc/20=216

lengthof the arc=216×20

length of the arc=4320cm

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The length of a rectangular portrait is 1.5 times the width. The perimeter is 10 feet what is the length of the portrait
snow_tiger [21]
The length of the portrait is 3 feet because 2+2= 4 and 3+3= 6 and 4+6= 10 feet
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3 years ago
Points X and Y are in plane Z. Any point collinear with X and Y is also in plane Z
mars1129 [50]

Answer:

yes above statement is true

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no mor
kirill [66]

Answer:

A.) A person weights 80 kg can consume Haddock fish = 149 grams

B.) A person weights 80 kg can consume Swordfish fish = 8 grams

C.) A person weights 80 kg can consume Tuna fish = 23 grams

D.) A person weights 80 kg can consume Snapper fish = 50 grams

Step-by-step explanation:

Given - Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no more than 0.1 microgram for every kilogram of their weight per day. Fish generally carry high levels of mercury, although certain fish have higher mercury content than others. Fish, however, are healthy sources of many other nutrients, so nutritionists recommend keeping them in the human diet. The figure below shows the average mercury content of several types of fish.

To find - If a person weighs 82 kg, how much of each fish can they safely consume? round to the nearest gram.

A.Haddock

B.Swordfish

C.Tuna

D.Snapper​

Proof -

Firstly, determine how many micro grams of mercury a person can consume who weighs 82 kilograms.

⇒82 × 0.1 =  8.2 micro grams.

Now,

a.)

For Haddock fish-

It consumes 0.055 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.055

                                              = 149.09 ≈ 149 grams

So,

A person weights 80 kg can consume Haddock fish = 149 grams

b.)

For Swordfish fish-

It consumes 0.995 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.995

                                              = 8.24 ≈ 8 grams

So,

A person weights 80 kg can consume Swordfish fish = 8 grams

c.)

For Tuna fish-

It consumes 0.350 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.350

                                              = 23.43 ≈ 23 grams

So,

A person weights 80 kg can consume Tuna fish = 23 grams

d.)

For Snapper fish-

It consumes 0.165 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.165

                                              = 49.697 ≈ 50 grams

So,

A person weights 80 kg can consume Snapper fish = 50 grams

6 0
3 years ago
Simplify 3p^4(4p^4 7p^3 4p 1
inessss [21]
I hope this helps you




3p^4(84p^8)


3.84.p^12


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3 0
3 years ago
Identify the graph of (x+3)^2 - 4y for T(-7,2) and write and equation of the translated or rotated graph in general form.
Firlakuza [10]

Answer:

Step-by-step explanation:

C

4 0
3 years ago
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