Answer:
True.
Step-by-step explanation:
Given,
4cos2 (4x) - 3 = 0
Now, 4π/24 = π/6
Or, cos π/6 = √3/2
Or, cos^2 π/6 = 3/4
Or, 4 cos^2 π/6 = 3
Now, Left Hand Side= 4cos2 (4x) - 3
= 3-3 =0 = Right Hand Side (Proved)
Here, Left Hand Side= Right Hanad Side. So, 4cos2 (4x) - 3=0 is true.
Answer:
Step-by-step explanation:
The formula ogf a volume of a pyramid:
B - area of a base
H - height
We have a base length a = 5 in and a height H = 9 in.
In the base we have a square. The formula of an area of a square is:
Substitute:
Calculate the volume:
Answer:
350 miles
Step-by-step explanation:
Let x represent the miles driven
The cost with the first plan will be represented by 0.40x + 70
The second plan will be represented by 0.60x
Set these 2 expressions equal to each other and solve for x:
0.40x + 70 = 0.60x
70 = 0.20x
350 = x
So, Susan will have to drive 350 miles for the cost to be the same
Answer:
x = 9/11
Step-by-step explanation:
x + 5 = 12x - 4
Subtract x from both sides
x + 5 - x = 12x - x - 4
5 = 11x - 4
Add 4 to both sides
5+ 4 = 11x - 4 + 4
9 = 11x
Divide both sides by 11
9/11 = 11x/11
9/11 = x
x = 9/11
