The midpoint between the two points are (0,1/2)
In this case or scenario,
the double-angle identity that should be used is the one for cosine. <span>
In totality, we shall need the following three trigonometric
identities to end up with the equality:
<span>1. cos (2a) = cos² (a) - sin² (a)
2. sin² (a) + cos² (a) = 1
<span>3. tan² (a) + 1 = sec²
(a)
<span>Using identities 1 and 2 on the left-hand side of the
equation, we get the following:</span>
1 + cos (2a) = 1 + cos² (a) - sin² (a) = 2 cos² (a) </span></span></span>
<span>
<span>Recalling that cos² (a) = 1 / sec² (a) and applying identity
3, we find the following:</span>
2 cos² (a) = 2 / sec² (a) = 2 / (1 + tan² (a)) </span>
Therefore giving us:
<span>2 cos² (a) = 2 / (1 +
tan² (a))</span>
Answer:
33 degrees
Step-by-step explanation:
It is 21 degrees inside the command center and negative 12 degrees outside.
You want to find the difference between these, which means you want to subtract.
That will look like:
21 - (-12) = ?
since you have two negative signs next to each other, they will cancel each other out.
Our new equation:
21 + 12 =
21 + 12 = 33
The difference between these two temperatures is 33 degrees.
9514 1404 393
Answer:
B (2 violet)
Step-by-step explanation:
Let the colors be represented by their first letter. Then the balances give rise to two equation:
o +y +b +v = r +g +b
o +y +v = g +v
Subtracting the second equation from the first gives ...
(o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)
b = r +b -v
Adding v-b to both sides, we have ...
b +(v -b) = r +b -v +(v -b)
v = r
Multiplying this result by 2, we can match the final balance:
2r = 2v . . . . . . . choice B
Answer:
5mL would be required to provide a patient with 0.25 mg of the drug substance.
Step-by-step explanation:
The problem states that an injectable solution contains 25μg of a dug substance in each 0.5 mL, and asks how many milliliters would be required to provide a patient with 0.25 mg of the drug substance.
So, the first step is the conversion of 25ug to mg, since the problem asks the answer in mg.
Each mg has 1000ug. So
1mg - 1000ug
xmg - 25ug
1000x = 25
x = 0.025 mg
It means that each 0.5mL of the solution contains 0.025mg of the drug. How many milliliters would be required to provide a patient with 0.25 mg of the drug substance.
0.5mL - 0.025mg
xmL - 0.25mg
0.025x = 0.5*0.25
x = 10*0.5
x = 5mL
5mL would be required to provide a patient with 0.25 mg of the drug substance.
