57. If you draw a diagram and make a right traveler with the Jacques, the base of the cliff, and the top of the cliff, it should be obvious that tan(35 degrees) = (cliff height)/1200m. Solving, cliff height = 1200 * tan(35 deg) = 840 meters.
59.
Original price = 480
After 20% off, price = 480 - 0.20 * 480 = 384
After 7.5% tax, price = 384 + 0.075 * 384 = 412.80, which is the total desired.
Formula of the point-slope equation for the right line that passes through two points is
y-y1=(y2-y1)/(x2-x1)*(x-x1) In our case (x1,y1)=(-10,-20) and (x2,y2)=(1,-9)
y-(-20)=(-9-(-20))/(1-(-10))*(x-(-10)) => y+20=(-9+20)/(1+10)*(x+10) =>
y+20= 11/11*(x+10) => y+20=x+10 => y=x-10
Good luck!!!
Answer:
quizlet
Step-by-step explanation:
Answer:
It's a scalene triangle!
Step-by-step explanation:
Answer:the number of advance tickets sold is 35
the number of same day tickets sold is 40
Step-by-step explanation:
Let x represent the number of advance tickets sold.
Let y represent the number of same day tickets sold.
For one performance, there were 75 tickets sold in all. This means that
x + y = 75
Advance tickets cost $20 and same-day tickets cost $25. The total amount paid for them was $1700 both tickets. This means that
20x + 25y = 1700 - - - - - - - - - - - 1
Substituting x = 75 - y into equation 1, it becomes
20(75 - y) + 25y = 1700
1500 - 20y + 25y = 1700
- 20y + 25y = 1700 - 1500
5y = 200
y = 200/5 = 40
substituting y = 40 into x = 75 - y, it becomes
x = 75 - 40
x = 35