Answer:
secθ = - 2
Step-by-step explanation:
Using the identity
sec²θ = 1 + tan²θ
= 1 + (
)² = 1 + 3 = 4 ( take the square root of both sides )
secθ = ± 
= ± 2
Since secθ < 0 in the third quadrant , then
secθ = - 2
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
Total number of students = 200
Number of females = 110
Number of students under the age of 21 years of age = 125
Number of males under the age of 21 years or older = 45
So, it becomes
Males Females Total
21 years 45 80 125
21 years or older 45 30 75
Total 90 110 200
So, Probability that a female student age 21 or older is selected is given by
Hence, Option 'a' is correct.
Y + 4x < 8
y < -4x + 8
2 points that satisfy this are (0,8) and (2,0)....and those happen to be ur x and y intercepts (where the line crosses the x and y axis)
graph...so go ahead and plot ur x and y intercepts (0,8) and (2,0).....ur slope is - 4.....so start at ur y int (0,8) and go down 4 spaces, and to the right 1...plot that point, then go down 4 spaces and to the right 1, then plot that point...keep doing this and u will have ur line...u should have crossed the x axis at (0,2)......ur line will be a dashed line since the problem has no equal sign.... the shading will go below the line because it is less then.
y - 3 > = 1/2x
y > = 1/2x + 3
2 points that satisfy this are : (0,3) and (-6,0)...ur x and y intercepts
graph : plot ur intercepts (0,3) and (-6,0)....u have a slope of 1/2...so start at ur x intercept (-6,0) and go up 1 space, and to the right 2 spaces, plot that point...then go up 1 and to the right 2, plot that point...keep doing this and u will cross the y axis at (0,3)....this line will be a solid line....the shading will go above the line.
Answer:
(3y+z)/20
Step-by-step explanation:
Begin by moving 3y to the right side of your equation:
20x=3y+z
Then divide both sides by 20 isolating x on one side of your equation:
x=(3y+z)/20
135 x 0.29 = 39.15; $39.15
Hope this helps,
♥Nikki♥
