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Otrada [13]
2 years ago
12

Which best represents the commutative property of addition?

Mathematics
1 answer:
Alexxandr [17]2 years ago
6 0

Answer:

i think D

Step-by-step explanation:

please mark me brainliest please

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Using addition formula solve tan 15​
salantis [7]

Answer:

2 - \sqrt{3}

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = \frac{tanA-tanB}{1+tanAtanB} and the exact values

tan45° = 1 , tan60° = \sqrt{3} , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= \frac{tan60-tan45}{1+tan60tan45}

= \frac{\sqrt{3}-1 }{1+\sqrt{3} }

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + \sqrt{3} is 1 - \sqrt{3}

= \frac{(\sqrt{3}-1)(1-\sqrt{3})  }{(1+\sqrt{3})(1-\sqrt{3})  } ← expand numerator/denominator using FOIL

= \frac{\sqrt{3}-3-1+\sqrt{3}  }{1-3}

= \frac{-4+2\sqrt{3} }{-2}

= \frac{-4}{-2} + \frac{2\sqrt{3} }{-2}

= 2 - \sqrt{3}

3 0
3 years ago
answer correctly for 70 points but if rong i will report u and get all ur points and mine back and u banned
12345 [234]

Answer:

11) 0.6

12) The maximum height of the ball was 2[ seconds] after it was thrown (I am assuming because the answers are cut off a bit.)

13) $2.50

14) (2,-15)

15) I don't know, since I can't see all the graphs and options. But I want to say the sideways parabola, or the only one shown in the image given

4 0
2 years ago
Pierre uses 30 grams of chocolate to make
Travka [436]

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Step-by-step explanation:

Given,

Chocolate used to make 200 ml of chocolate sauce = 30 grams

Ratio of chocolate to milliliters of chocolate sauce = 30:200

Let,

x be the milliliters of sauce made from 450 grams of chocolate

Ratio of chocolate to ml of sauce = x:450

Using proportion;

Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

30:200::450:x

Product of extreme = Product of mean

30*x=200*450\\30x=90000

Dividing both sides by 30

\frac{30x}{30}=\frac{90000}{30}\\x=3000

450 grams of chocolate will make 3000 milliliters of chocolate sauce.

We will convert this in liters.

1 liter = 1000 ml

3000 ml = \frac{3000}{1000} = 3 liters

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/1414350
  • brainly.com/question/1418853

#LearnwithBrainly

3 0
3 years ago
In 2014, the population of China was 1.39 billion. Compare China’s 2014 population to the world population with a ratio. Write y
pychu [463]

Answer:

Faction of population = 1.39 / 7.2

Percentage of population = 19.3% (Approx.)

Step-by-step explanation:

Given:

China's population in 2014 = 1.39 billion (Approximately)

Find:

Compare China's population to world population

Computation:

World's population in 2014 = 7.2 billion (Approximately)

Faction of population = China's population in 2014 / World's population in 2014

Faction of population = 1.39 / 7.2

Percentage of population = [China's population in 2014 / World's population in 2014]100

Percentage of population = [1.39/7.2]100

Percentage of population = [0.193]100

Percentage of population = 19.3% (Approx.)

6 0
3 years ago
I’m soooo grateful for you guys that’s helping me!!!
nevsk [136]

Answer:

The answer is 10. Hope this helps!

3 0
2 years ago
Read 2 more answers
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