Answer:
T= 2.35 seconds
Step-by-step explanation:
⇒The question is on the time of flight.
⇒Time of flight is the time taken for a projected object to reach the ground.It depends on the <u>projectile angle</u> and the <u>initial velocity</u> of the projectile
Given;
Initial velocity of ball= 110ft./sec.
The projectile angle= 20°
Acceleration due to gravity, g=32 ft./s²
⇒Formulae for time of fright T= (2×u×sin Ф)/g
Where T=time of fright, u=initial velocity of projectile, Ф=projectile angle and g=acceleration due o gravity.
<u>Substituting values</u>
T= (2×u×sin Ф)/g
T=( 2×110×sin 20°) / 32
T= 2.35 seconds
Answer:
y = 312x + 2
Step-by-step explanation:
According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).
(x, y)
(0, 2) ---> y-intercept (b)
Now that we have found the y-intercept, we will now find the slope by using its formula.
Slope formula:-
m = y2 - y1 / x2 - x1
Pick two random (x, y). I will pick the first and last pairs.
(0, 2) and (4, 1250)
Now plug these two pairs in the formula.
m = y2 - y1 / x2 - x1
m = 1250 - 2 / 4 - 0
m = 1248 / 4
m = 312
This means that the slope (m) is 312. Now put that in y = mx + b form.
y = mx + b
y = 312x + 2
Both of the forms are the same. Hope this helps, thank you :) !!
Answer:
-37.5 m
Step-by-step explanation:
If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:
... (15/24)×(-60 m) = -37.5 m
Answer:
1a 3800, 1b 6300 1c 5100
2a 2630, 2b 2600, 2c 3000
3a 4000, 3b 3000, 3c 8000
Answer:
Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dotted line 
The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)
and
-----> inequality B
The solution of the inequality B is the shaded area above the solid line 
The solid line passes through the points (0,5) and (-2,2)
therefore
The solution of the system of inequalities is the shaded area between the dotted line and the solid line
see the attached figure
Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)
