Answer:
Step-by-step explanation:
Sinθ = 
If, sinθ = -
and π < θ < 
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°)
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) = 
tan(210°) = 
csc(210°) = 
sec(210°) = 
cot(210°) = √3
Answer:
number of $20 bill = 4
Number of $5 bill = 5
Step-by-step explanation:
Given that:
Total number of $5 and $20 bills = 9
Let :
Number of $5 bills = x
Number of $20 bills = y
Combined worth of all bills = $105
x + y = 9 - - - (1)
5x + 20y = 105 - - - (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
5(9 - y) + 20y = 105
45 - 5y + 20y = 105
15y = 105 - 45
15y = 60
y = 60/15
y = 4
x = 9 - y
x = 9 - 4 = 5
Hence,
number of $20 bill = 4
Number of $5 bill = 5
Answer:
2.68 pints
Step-by-step explanation:
The fraction of white paint is 1 -3/5 = 2/5, so the quantity of white paint is ...
(2/5)(6.7 pints) = 2.68 pints
Kimberly used 2.68 pints of white paint.
This question is incomplete
Complete Question
A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. How many people came to each of the other activities?
Attendance at the drama play was 140% of attendance at the concert. How many people came to the drama play?
Answer:
350 people
Step-by-step explanation:
Percentage of people that attended a drama play =
Number of people that attended the drama play/Total number of people at the concert × 100
Attendance at the drama play was 140% of attendance at the concert.
The music concert was attended by 250 people
Let the number of people that came to the drama play = x
Hence:
140% = x/250 × 100
140/100 = x/250
Cross Multiply
140 × 250 = 100 × x
x = 140 × 250/100
x = 350 people
Therefore, the number of people that came to the drama play = 350 people
