Answer:
48m
Step-by-step explanation:
12m - 4m = 8m / 2 = 4
12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48
Answer:
16
Step-by-step explanation:
This problem requires PEMDAS
Parentheses ( )
Exponents ^
Multiplication
Division
Add
Subtract
Start by solving anything in parentheses. There's an exponent within the parentheses, so we change that 2^2 into 4 and also make sure to multiply 5 x 2 before subtracting.
-4 - (2 + -24 - 4 - (4-10))
-4 - (2 + -24 - 4 - (-6))
Again, solve parentheses first.
-4 - (-22 - 4 - (-6))
-4 - (-26 + 6)
-4 - (-20)
-4 + 20
Answer is 16
Rearrange the equation as
cos(x) - √(1 - 3 cos²x) = 0
cos(x) = √(1 - 3 cos²x)
Note that both sides have to be positive, since the square root function is non-negative. If we end up with any solutions that make cos(x) < 0, we must throw them out.
Take the square of both sides.
(cos(x))² = (√(1 - 3 cos²(x))²
cos²(x) = 1 - 3 cos²(x)
4 cos²(x) = 1
cos²(x) = 1/4
cos(x) = ± √(1/4)
cos(x) = ± 1/2
We throw out the negative case and we're left with
cos(x) = 1/2
This has general solution
x = arccos(1/2) + 360° n or x = -arccos(1/2) + 360° n
(where n is any integer)
x = 60° + 360° n or x = -60° + 360° n
Now just pick out the solutions that fall in the interval 0° ≤ x < 360°.
• From the first solution set, we have x = 60° when n = 0.
• From the second set, we have x = 300° when n = 1.
So the answer is D.
Answer:
0.00967
Step-by-step explanation:
9.67 x 10^-3 = 0.00967
Answer:
16.1513
Step-by-step explanation:
16.1513 hundred thousandth place is at the three 16.151<u>3</u>
there is nothing following the three so there is nothing to round up or down.
