The third choice is the correct one.
draw a line from the starting point on the hill to the finishing point, suppose the angel formed by this new line and the slope of the hill is x
sinx/150=sin27.4/200
sinx=(150*sin27.4)/200
x=sin-1[(150*sin27.4)/200]
the angle formed by the slope of the hill and the horizontal line is the sum of x and 27.4
Answer:
Step-by-step explanation:
Answer:
Part a) 3.5 weeks
Part b) 185 tickets
Step-by-step explanation:
Part a) After how much time have the same number of tickets been sold for both festivals?
Let
x -----> the number of weeks
y ----> the number of tickets sold
we have
<em>Country Music Festival</em>
----> equation A
<em>Pop Music Festival</em>
----> equation B
Equate equation A and equation B
solve for x
Part b) What is the number of tickets sold at that time?
substitute the value of x=3.5 weeks in the linear equation A or linear equation B
Example 250
word form:
two hundred and fifty
expanded form:
2+5+0
standard form:
250
Answer:
54 minutes
Step-by-step explanation:
From the question, we are given;
- A room with dimensions 5.2 m by 4.3 m by 2.9 m
- The exchange air rate is 1200 L/min
We are required to determine the time taken to exchange the air in the room;
First we are going to determine the volume of the room;
Volume of the room = length × width × height
= 5.2 m × 4.3 m × 2.9 m
= 64.844 m³
Then we should know, that 1 m³ = 1000 L
Therefore, we can convert the volume of the room into L
= 64.844 m³ × 1000 L
= 64,844 L
But, the rate is 1200 L/min
Thus, time = Volume ÷ rate
= 64,844 L ÷ 1200 L/min
= 54.0367 minutes
= 54 minutes
Therefore, it would take approximately 54 minutes
