Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
Answer:
30 hours is the right answer
Step-by-step explanation:
1. a + 130 =.180 ---> a = 50°
b + 130 + 120 = 360 ---> b = 110°
c + 120 = 180 ---> c = 60°
2. p + 44 = 180 ---> p = 136°
q + 44 = 180 ---> q = 136°
r = 44° (definition of vertical angles)
t = 34° (definition of vertical angles)
3. x = 50° (definition of vertical angles)
y = 50° (definition of alternate external angles)
9514 1404 393
Answer:
$3
Step-by-step explanation:
The cost that hasn't been covered by bake sale proceeds is ...
$750 -150 = $600
If that cost is divided among 200 students, the amount each student needs to pay is ...
$600/(200 students) = $3/student
They need to charge $3 per ticket.
Answer: p = 1/5
Step-by-step explanation:
-5(p + 3/5) = -4
Distribute
-5p - 3 = -4
Add 3 to both sides
-5p = -1
Divide by -5 on both sides
p = 1/5
