Answer:
Step-by-step explanation:
Ratio is an expression that shows the relationship between two items in terms of quantity. It shows how much of one item can be found in another.
Simon used 3 pears and 9 apples to make a fruit salad.
This is expressed in terms of quantity.
The ratio of the number of pears which simon used to the number of apples which simon used will be
Number of pears which simon used ÷ the number of apples which simon used.
The ratio is 3/9.
Simplifying further to its lowest term,
It becomes 1/3
This is done by dividing the numerator and denominator by 3
Answer:
6/5
Step-by-step explanation:
I hope that it's a clear solution.
FIRST PARTWe need to find sin α, cos α, and cos β, tan β
α and β is located on third quadrant, sin α, cos α, and sin β, cos β are negative
Determine ratio of ∠α
Use the help of right triangle figure to find the ratio
tan α = 5/12
side in front of the angle/ side adjacent to the angle = 5/12
Draw the figure, see image attached
Using pythagorean theorem, we find the length of the hypotenuse is 13
sin α = side in front of the angle / hypotenuse
sin α = -12/13
cos α = side adjacent to the angle / hypotenuse
cos α = -5/13
Determine ratio of ∠β
sin β = -1/2
sin β = sin 210° (third quadrant)
β = 210°

SECOND PARTSolve the questions
Find sin (α + β)
sin (α + β) = sin α cos β + cos α sin β



Find cos (α - β)
cos (α - β) = cos α cos β + sin α sin β



Find tan (α - β)


Simplify the denominator


Simplify the numerator


Simplify the fraction

Answer:
Steve
Step-by-step explanation:
steve is buying 200 minutes which is more than 150 minutes
Hope i helped :) :) :)