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:
Length: 11
Width: 5
Step-by-step explanation:
Let W = width
Let L = length
Length is 4 less than 3 times the width ==> L = 3*W - 4
Let P = Perimeter = 2*W + 2*L
Perimeter is 22 more than twice the width ==> P = 2*W + 22
Setting the 2 expressions for the perimeter equal to each other gives
2*W + 2*L = 2*W + 22
2*L = 22
L = 11
So 11 = 3*W - 4
3*W = 15
W = 5
The length is 11 and the width is 5
Check: 3*W - 4 = 11 = Length
Perimeter = 32 = 22 more than 2*5 = 10
Answer:
C) x≥4 and x ≤ -4
Step-by-step explanation:
| 8x | ≥ 32
To remove the absolute values, we get two equations, one positive and one negative
8x ≥ 32 and 8x ≤ -32
Divide each side by 8
8x/8 ≥ 32/8 and 8x/8 ≤ -32/8
x ≥ 4 and x ≤ -4
Answer:
Around 401 students would prefer chocolate milk.
Step-by-step explanation:
500/30=16.66667...
24*16.7=400.8
you cant have an eighth of a vote so you round to 401
