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Temka [501]
3 years ago
7

Can anyone please help : show that cos^{2} (θ)= 1 + cos(2θ) / 2 , using the compound angle formula

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

Below

Step-by-step explanation:

Let's prove that cos^2(O) = 1+ cos(2O)/2

We khow that cos(2O) = 2 cos^2-1

● cos(2O) = 2 cos^2-1

Add one to both sides:

● cos(2O) +1 = 2 cos^2-1+1

● cos(2O) +1 = 2 cos ^2

Divide both sides by 2

● [cos(2O)+1]/2 = cos^2

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Two weeks ago the cost to fly was 210 now it is 300 what is the percent increase. What would be the percent increase if the airl
Lunna [17]

Answer:

42.86%    and          61.91%

Step-by-step explanation:

90/210=9/21=42.86%

130/210=13/21=61.91%

8 0
3 years ago
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
Which costs the most: 12 cat toys, 4 bags of cat food, or 3 litter boxes? Explain.
lukranit [14]

Answer:

3 litter boxes

Step-by-step explanation:

It depends what type it is

7 0
3 years ago
15.
abruzzese [7]

<span>Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is the ____ , and the part following then is the ____.
</span>
<span>conditional; hypothesis; conclusion

16 ) </span><span>If a triangle has three sides, then all triangles have three sides</span>
7 0
3 years ago
Read 2 more answers
What is the distributive property of 4 × 14
xxTIMURxx [149]
4x10+4x4 is an example
6 0
3 years ago
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