Answer:
Step-by-step explanation:
According to the diagram ,
Hypotenuse = 10√3
Opposite = x
Adjacent = y
α = 60
Using SOHCAHTOA ,
Sin α = opp / hyp
Sin 60= x/10√3
√3/2= x/10√3
x = 15
Pythagoras theorem ;
Hypotenuse ^2 = Opposite ^2 +Adjacent ^2
10√3 ^2 = 15^2+ y^2
300 = 225 +y ^2
300 -225 = y^2
75 = y^2
y = √75y
y = 5√3
Answer:
There is a positive correlation between these two variables.
Step-by-step explanation:
Positive correlation is an association amid two variables in which both variables change in the same direction.
A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
As the distance covered by the vehicle increases the amount of gas consumed also increases. Thus, the weekly cost of gas will also increase.
Thus, there is a positive correlation between these two variables.
Answer:
Profit = $ 5
Step-by-step explanation:
Money spent on supplies = $ 20
Number of cups of lemonade sold by her = 100
Selling price for 1 cup of lemonade = 1 quarter = $ 0.25
∴ Selling price for 100 cups of lemonade = 
So, Christie can make $ 25 from 100 cups of lemonade.
Profit made by her = Selling price - Money spent on supplied
= $ 25 - $ 20 = $ 5.
Answer:
2(a-2)
Step-by-step explanation:
12 + 2a – 8 = 2a +12-8
= 2a-4
=2(a-2)
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>
