For this case we have that by definition, it is called arcsine (arcsin) from a number to the angle that has that number as its sine.
We must find the 
. Then, we look for the angle whose sine is 
.
We have to, by definition:
So, we have to:
Answer:
Option B
Answer:
a) Profit = 84000
b) at break even number of pens sold = 46
Step-by-step explanation:
Profit = Selling price - Cost price
Total revenue generated = 99 * 1000
Total revenue generated = 99000
Total cost on making the pen = 11 * 1000
Total cost on making the pen = 11000
Total cost including the initial cost = 11000 + 4000
Total cost including the initial cost = 15000
Profit = 99000 - 15000
Profit = 84000
Break even is when the cost are equal to Revenue thus no profit or loss
Revenue = total cost (break even)
9x = 1x + 4000
9x - x = 4000
8x = 4000
x = 500
At breakeven Revenue = 9 * 500
At breakeven Revenue = 4500
since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)
at break even number of pens sold = 46
Answer:
Final image L"M" will lie in the fourth quadrant.
Step-by-step explanation:
Coordinates of the ends of segment LM,
L → (-3, 4)
M → (-3, 2)
Rule to reflect a point across x-axis is,
(x, y) → (x, -y)
By this rule, coordinates of the image point of L and M will be,
L(-3, 4) → L'(-3, -4)
M(-3, 2) → M'(-3, -2)
Further these image points are translated along the vector <4, 1>
Rule for this translation will be,
(x, y) → (x + 4, y + 1)
Now the image points of the points L' and M' will be,
L'(-3, -4) → L"(-3 + 4, -4 + 1)
→ L"(1, -3)
M'(-3, -2) → M"(-3 + 4, -2 + 1)
→ M"(1, -1)
Therefore, final image L"M" will lie in the fourth quadrant.
Answer: you sold 10 adult tickets and 11 children tickets.
Step-by-step explanation:
Let x represent the number of adult tickets that you sold.
Let y represent the number of children tickets that you sold.
You sold a total of 21 tickets. This means that
x + y = 21
Admission prices are six dollars for adults and four dollars for children. You sell tickets for admission to your school play and collect a total of $104. This means that
6x + 4y = 104 - - - - - - - - - -1
Substituting x = 21 - y into equation 1, it becomes
6(21 - y) + 4y = 104
126 - 6y + 4y = 104
- 6y + 4y = 104 - 126
- 2y = - 22
y = - 22/ -2 = 11
Substituting y = 11 into x = 21 - y, it becomes
x = 21 - 11 = 10
