Answer:
The values of theta where cos(theta) is 0 is equal to π/2 or 3π/2 so, the value of tan(theta) will be zero.
Step-by-step explanation:
As we know,
tan(theta) = sin(theta)/ cos(theta)
tan(theta) will be undefined whenever cos(theta) = 0
as anything divided by zero is undefined.
We need to find the values of theta where cos(theta) is 0.
cos(0) = 1
cos (π/2) = 0
cos(π) = 1
cos(3π/2) = 0
The values of theta where cos(theta) is 0 is equal to π/2 or 3π/2 so, the value of tan(theta) will be zero.
Answer:
b
Step-by-step explanation:
100 dollars month
100
plus
100+
0.15 per text
100+15t
So if 3/4 of the seats are filled, there are a few methods we can use.
The simplest method:
Just multiply 3/4 by 500, to get 1500/4, or 375.
So 375 seats are filled.
A method that can be used with harder problems and will be more efficient in those cases:
Using proportions.
You could say,
?/500 = 3/4
And then cross multiply,
500 * 3 = 4 * x (say the ? = x)
1500 = 4x
/4 /4
x = 375
So either way we get the answer, 375 seats were filled.
Answer:
Jamie will have covered a distance of 45.08 km while Cori will be 4.8 km away
Step-by-step explanation:
Here, we want to know how far will each of both riders be in 2 hours time.
Jamie is riding 14 mph
This means the number of miles covered in two hours will be 14 mph * 2 = 28 miles
For comparison purposes, let’s convert this to kilometer.
Since 1 mile = 1.61 km, then 28 miles will be 28 * 1.61 km = 45.08 km
For Cori, he is riding at 0.04 km per minute
1 hour = 60 minutes
so 2 hours = 2 * 60 = 120 minutes
Since the speed is 0.04 km in a minute
Then the distance in 120 minutes will be 0.04 * 120 = 4.8 km
Answer: B
Step-by-step explanation:
Multiply 4 x 8 which is 32.
Then divide it by 1/2.
The answer is 16.
