Recall that 
and 
for all 
. So
For 
, we expect both 
and 
(i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, 
if 
.
So we have
making H the answer.
C is always true, because the inequality reduces to x > y.
Answer:
∠A = 84°
Step-by-step explanation:
Since AB and AC are tangent to the circle, ∠ABK = 90° and ∠ACK = 90°.
Angles of a quadrilateral add up to 360°, so:
∠A + 90° + 90° + 96° = 360°
∠A = 84°
You have to multiply and add!
You’ve got to work out 3/4 of the year first, that’s 75%, after you need to work out how many weeks are in those days so you divide it by 7 then divide that answer by $50 and hopefully you get your answer. hope this helps
Step 1: Factor
1. <span> Multiply 2 by -2, which is -4.</span>
2. <span>Ask: Which two numbers add up to -3 and multiply to -4?
</span>3. <span>Answer: 1 and -4
</span>4. Rewrite
as the sum of
and
Step 2: <span>Factor out common terms in the first two terms, then in the last two terms.
</span>
<span>
Step 3: </span>Factor out the common term
Step 4: Solve for
1. Ask: When will
equal zero?
2. Answer: When
or
3. <span>Solve each of the 2 equations above:
</span>
<span>
Step 5: </span>From the values of
<span>above, we have these 3 intervals to test.
x = < -1/2
-1/2 < x < 2
x > 2
Step 6: P</span><span>ick a test point for each interval
</span>For the interval
Lets pick
Then,
After simplifying, we get
, Which is false.
Drop this interval.
<span>
For this interval
Lets pick
. Then,
. After simplifying, we get
which is true. Keep this <span>interval.
For the interval </span>
Lets pick
Then,
After simplifying, we get
, Which is false. Drop this interval.
.Step 7: Therefore,
Done! :)</span>
