Answer:
The answer is 3-1/9 is the answer.
Answer:
The answer to your question is x = 66.42° and x = 293.6°
Step-by-step explanation:
Data
cos x = 2/5
x = ?
Process
1.- Look at the sign of 2/5.
2/5 is positive so the angle we are looking for is in the first or the fourth quadrant.
2.- Remember the side that the trigonometric function relates
cos x = Adjacent side / hypotenuse
then, adjacent side = 2
hypotenuse = 5
3.- Get cos⁻¹ x
cos⁻¹x = x = 66.42°
4.- If the angle is in the first quadrant x = 66.42°
5.- If the angle is in the fourth quadrant x = 293.6°
Answer:
-30%
Step-by-step explanation:
The percentage change in length is given by ...
percent change = ((new length) -(original length))/(original length) × 100%
= (51.29 -73.3)/73.3 × 100%
= -22.01/73.3 × 100% = -0.30027 × 100%
= -30%
The decrease in the length of the spring was 30%.
Let's assume
number of seats in each row =x
we are given
The number of seats in each row exceeds the number of rows by 20
number of seats = number of rows +20
x = number of rows +20
so, number of rows =x-20
total number of seats = (number of seats in each row)*(number of rows)
so, we can plug values
and we get
now, we can solve for x
since, number of seats can not be negative
so, number of seats in each row is 63.....................Answer
Answer: the rate of the passenger train is 100 mph.
Step-by-step explanation:
Let x represent the rate of the passenger train.
The rate of the freight train was 10 miles per hour slower than the rate of the passenger train. It means that the rate of the freight train is (x - 10) mph
The passenger train traveled 100 miles. It means that the time it took travel 100 miles is
100/x
In the same amount of time, it took a freight train to travel 90 miles. It means that the time it took travel 90 miles is
90/(x - 10)
Since the time is the same, then
100/x = 90/(x - 10)
Cross multiplying, it becomes
100(x - 10) = 90x
100x - 1000 = 90x
100x - 90x = 1000
10x = 1000
x = 100 mph