First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
The inequality for this situation is given by 50 + p > 85
<h3>What is an
inequality?</h3>
An inequality is an expression that shows the relationship between two or more numbers and variables.
Let p represent number of pages from Monday to Friday.
Jerome wants to have read at least 85 pages by the end of the day on Friday, hence:
50 + p > 85
The inequality for this situation is given by 50 + p > 85
Find out more on inequality at: brainly.com/question/24372553
Answer:
no solution
Step-by-step explanation:
For getting the nature of solution of the quadratic equation of the form:
ax² + bx + c = 0
We need to find Discriminant which is:
Discriminant (D) = b² - 4ac
- If D < 0, there is no solution of equation.
- If D = 0, there are two equal and real solution of equation
- If D < 0, there are two real and distinct solution of equation
Here we have equation is:
2x² - 9x + 12 = 0
∴ a=2, b = -9, c = 12
⇒ D = 81 - 4 × 2 × 12 = -16 < 0
Hence, there is no solution of given equation.
Answer:
1/4
Step-by-step explanation:
total balls=7+4+4+5=20
probability of green marble=?
green marbles are 5 so,
Probability=number of favourable outcomes / number of all possible outcomes
total outcomes=20
green ball chances=5
=5/20
=1/4
Answer:
see explanation
Step-by-step explanation:
- 2.3 + (- 5.7)
reminder that + (- ) = -
To obtain - 3.4 it is likely that she added 2.3 to - 5.7
The solution is
- 2.3 - 5.7 = - 8
