Answer:
tanΘ = -
Step-by-step explanation:
Using the trigonometric identity
tan²Θ + 1 = sec²Θ, thus
tan²Θ + 1 = ( )² =
( subtract 1 from both sides )
tan²Θ = ( take the square root of both sides )
tanΘ = ±
Since 270 < Θ < 360 , that is the fourth quadrant where tan Θ < 0, thus
tanΘ = -
30 pounds of raspberries and 50 pounds of blueberries are sold
<em><u>Solution:</u></em>
Let "a" be the pounds of raspberries sold
Let "b" be the pounds of blueberries sold
Cost per pound of raspberry = $ 1
Cost per pound of blue berry = $ 3.25
<em><u>Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries</u></em>
Therefore,
a + b = 80
a = 80 - b ------- eqn 1
<em><u>Maya made $192.50. Therefore, frame a equation as:</u></em>
pounds of raspberries sold x Cost per pound of raspberry + pounds of blueberries sold x Cost per pound of blue berry = 192.50
a + 3.25b = 192.50 ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
80 - b + 3.25b = 192.50
2.25b = 192.50 - 80
2.25b = 112.5
Divide both sides by 2.25
b = 50
<em><u>Substitute b = 50 in eqn 1</u></em>
a = 80 - 50
a = 30
Thus 30 pounds of raspberries and 50 pounds of blueberries are sold