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lyudmila [28]
3 years ago
14

the tallest tree in the forest is 150 feet from the water tower. unfortunatly in a lightning storm the tallest tree was struck a

nd caught on fire. the ranger needs to go from his tower to the water tower to get the water to put out the fire. how far is it from the rangers tower to the water tower

Mathematics
1 answer:
gogolik [260]3 years ago
3 0
The interior angles of a triangle add up to 180

180 - 97 - 34 = 49

150 / Sin 34 =  b / Sin 49

multiply both sides by Sin 49

(Sin (49)* 150) / Sin 34 = b

b = 270.39 feet


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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
You record the type of clothing worn by people you see at a store. Identify the data set as numerical or categorical​
mixas84 [53]

Answer:

categorical data

5 0
3 years ago
Read 2 more answers
Help please bad please ​
Sergio [31]

Answer:

\displaystyle A .20

Step-by-step explanation:

<u>By </u><u>tangent</u><u> </u><u>theorem</u><u> </u>we acquire:

\displaystyle  x + 10 = 9 + 21

simplify addition:

\displaystyle  x + 10 = 30

cancel 10 from both sides:

\displaystyle  x = 20

hence,

our answer is A

4 0
3 years ago
Show an equation to find out how many milliliters are in 3.4 L
Allisa [31]

Answer:

3,400 ml

Step-by-step explanation:

Conversion factor: 1000

2) mL = L * 1000

3) mL = 3.4 * 1000

4) mL = 3400

3 0
3 years ago
What is the greatest common factor of 30 and 50
siniylev [52]

Hi,

The greatest common factor of 30 and 50 is 10.

Have a great day!


5 0
3 years ago
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