Answer:
2 - 
Step-by-step explanation:
Using the addition formula for tangent
tan(A - B) =
and the exact values
tan45° = 1 , tan60° =
, then
tan15° = tan(60 - 45)°
tan(60 - 45)°
= 
=
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 1 +
is 1 -
=
← expand numerator/denominator using FOIL
= 
= 
=
+ 
= 2 - 
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
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

Product of extreme = Product of mean

Dividing both sides by 30

450 grams of chocolate will make 3000 milliliters of chocolate sauce.
We will convert this in liters.
1 liter = 1000 ml
3000 ml =
= 3 liters
Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.
Keywords: ratio, proportion
Learn more about proportion at:
#LearnwithBrainly
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.)
Answer:
The answer is 10. Hope this helps!