Answer:
Time t = 1.39 seconds
Step-by-step explanation:
Given;
Initial velocity v = 20 ft/sec
height equation;
h = -16t^2 + 20t + 6
How long does it take for the disc to be caught 3 feet off the ground;
At this point h = 3
Substituting h = 3 into the height equation;
3 = -16t^2 + 20t + 6
-16t^2 + 20t + 6 - 3 = 0
-16t^2 + 20t + 3 = 0
Solving the quadratic equation;
t = 1.39 or t = -0.14
Since t cannot be negative;
Time t = 1.39 seconds
Answer:
Step 1
Step-by-step explanation:
it should've been 4×
Answer:
10√2
Step-by-step explanation:
A(1, 4), B(3, 6), C(6, 3), D(4, 1)
The distance formula tells you the distance d between two points (x1, y1) and (x2, y2) is given by ...
d = √((x2-x1)² +(y2-y1)²
Then the side lengths are ...
AB = √(2² +2²) = √8 = 2√2
BC = √(3² +(-3)²) = √18 = 3√2
The perimeter is twice the sum of these sides, so is ...
P = 2(2√2 +3√2) = 10√2 . . . the perimeter of the rectangle
<span>200 < 225 + 80x < 550
The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.
225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours
225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
<span>
The number of hours for the sound technician will range from 1 hour to 4 hours.
Assuming they will use 6 hours.
225 + 80(6) = 225 + 480 = 705
705 - 550 = 155
Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.
</span>
Answer:
1.45 m
Step-by-step explanation:
Convert 1.5 metre into cm
1.5 metre =150 center meters
150 cm -5=145
145 into metres is 1.45 m
