Answer:
46.63 ft
Step-by-step explanation:
I've drawn and attached a triangle diagram to represent this elevation and distance of balloons.
Now, from the diagram attached, we can see the angle at which June must look up to see Armando is 25°.
Also, the height of Armando above June is represented by "x".
Thus, using pythagoras theorem, we can find x.
Thus;
x/100 = tan 25
x = 100 × tan 25
x = 100 × 0.4663
x = 46.63 ft
Answer: y = 800
Step-by-step explanation:
3(y+200) = 3000
y+200 = 1000 (dividing 3 from both sides)
y = 800
Answer: $ 38.69 ; There are 12 people in the crew
Answer:
y = 2x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation of the line
To find c substitute (2, 1) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = 2x - 3 ← equation of line
Answer:
c=80
Step-by-step explanation:
Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.
So let's see that characteristic equation:
20r^2+cr+80=0
The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.
a=20
b=c
C=80
c^2-4(20)(80)
We want this to be 0.
c^2-4(20)(80)=0
Simplify:
c^2-6400=0
Add 6400 on both sides:
c^2=6400
Take square root of both sides:
c=80 or c=-80
Based on further reading damping equations in form
ay′′+by′+Cy=0
should have positive coefficients with b also having the possibility of being zero.
