Answer:
a) 0.6435 radians
b) 80.1 feet/sec
Step-by-step explanation:
a) 75 = (50²/16)sin(theta)cos(theta)
sin(theta)cos(theta) = 0.48
2sin(theta)cos(theta) = 0.96
sin(2theta) = 0.96
2theta = 1.287002218
Theta = 0.6435011088 radians
b) 200 = (v²/16)sin(0.75)cos(0.75)
6416.072347 = v²
v = 80.10038918 feet/sec
Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters
Answer:
we plot first the data and find the equation. The equation is c(x) = 7x2 - 3x + 5. when x is equal to 5, then c(x) is equal to $165
Step-by-step explanation:
Answer:
As an equation: 15 × x = -75
Solved: x = -5
Step-by-step explanation:
15*x = -75
= 
, Divide by 15 on both sides to solve for x
x=, The 15 in the numerator cancels out with the denominator
x= -5, because 75/15=5
As we can tell, the first number is 3, so we'll have a y-intercept in our equation and overall. Secondly, we can tell it's increasing by 7 each time, so we can tell that's the rate. But, it won't just be 3+7x, if we plug 1 in, it would be 10 and not 3. We need to put in the parenthesis 3+7(x-1). If we put one in, we would receive three. Let's make sure this works.
3+7(5-1)
3+7(4)
3+28
31
31 is the fifth terms.
So the expression would be 3+7(x-1).
Let's find the 100th term.
3+7(100-1)
3+7(99)
3+693
696
So the 100th term would be 696.
