The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.
Step-by-step explanation:
The given is,
Seats filled by students are 570 seats
Which is 95% of the total number of seats in the theater
Step: 1
Let, x - Total number of seats available in theater
Percentage of seats filled, y= 95%
Seats filled by students = 570
Formula to calculate total number of seats in theater,
95% of seats
570 = ![0.95 (x)](https://tex.z-dn.net/?f=0.95%20%28x%29)
x = ![\frac{570}{0.95}](https://tex.z-dn.net/?f=%5Cfrac%7B570%7D%7B0.95%7D)
= 600
x = 600 seats
Step: 2
Check for solution,
5% of seats ![= \frac{5}{100} (600)](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%7D%7B100%7D%20%28600%29)
= (0.05 × 600)
= 30 seats
Total no. of seats = 5% of seats + 95% of seats
= 30 + 570
600 = 600
Result:
The total number of seats in the theater is 600 seats.
The second equation, its setup is correct
Answer:
The correct option in this case is A.) more than one.
Step-by-step explanation:
All formulas have how many variables?
The correct option in this case is A.) more than one.
10 to the 5th power means 5 times zero, place 8 before that and it will be 800000 then multiply with 0.5 it will be 400000. In scientific notation it will be like 4x10 the 5th power.
The correct answer is B.
Determine and recall first the trigonometric functions:
Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent
If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z.
Use this test to answer:
Sin Y = Y/X
where:
Y = opposite
X = hypotenuse
Cos (90 - y) = cos (90 - 50) = cos 40
where Z = 40
we look for cos Z = Y/X
Therefore,
Sin Y = Cos (90 - Y)