Answer:
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
Answer:
b < -1
Step-by-step explanation:
Step 1: Write inequality
-3(6b - 1) > 18 - 3b
Step 2: Solve for <em>b</em>
<u>Distribute -3:</u> -18b + 3 > 18 - 3b
<u>Add 18b to both sides:</u> 3 > 18 + 15b
<u>Subtract 18 on both sides:</u> -15 > 15b
<u>Divide both sides by 15:</u> -1 > b
<u>Rewrite:</u> b < -1
Answer:
2
Step-by-step explanation:
one+one=two
Answer:
The triangles are congruent by SAS.
Step-by-step explanation:
The triangle have two congruent sides because it is given. The congruent angle is the angle at which they connect, these two angles are congruent because they are vertical angles.
Answer:
5. 120 pages in 1 day
6. 16 inches in 1 hour
7. $10 for 1 gift
8. $4 for 1 gallon
Step-by-step explanation:
The unit rate is basically # per 1 thing