Answer:
Option d. is correct answer.
Step-by-step explanation:
<em>f(x) = [x]</em><em> </em>is the absolute value parent function.
4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
Answer:
Step-by-step explanation:
Volume of the butter in the cardboard = 31.25 cubic inches
Length of the Molded Square Prism =5 Inches
Let the length of the square cross sectional area = x
Volume of the Prism
Since l=5 Inches
Next, we determine the surface area of the New Cardboard box to be made.
Length of the Cardboard Box=5 Inches
Length of the square cross sectional area = 2.5 Inches
Total Surface Area
Therefore, of cardboard is needed,
Answer:
A) 11/36
Step-by-step explanation:
x + 4/9 = 3/4
get a common denominator of 36 (4*9 = 36)
x + 4/9 * 4/4 = 3/4 * 9/9
x + 16/36 = 27/36
subtract 16/36 from each side
x + 16/36 - 16/36 = 27/36 -16/36
x = (27-16)/36
x = 11/ 36
