Answer:
39
Step-by-step explanation:
difference=28
other number=11
so:
11+28=39
39 is your other number
Yes the table represents a linear function because doing x1-y1/ x2-y2 gives you linear equation
Answer:
- r(0) = <0, 100> . . . . . . . .meters
- r'(0) = <7.071, 7.071> . . . . meters per second
Step-by-step explanation:
<u>Initial Position</u>
The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...
r(0) = <0, 100>
<u>Initial Velocity</u>
The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...
r'(0) = <10·cos(π/4), 10·sin(π/4)>
r'(0) ≈ <7.071, 7.071>
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.
Answer: 37 km per hour
Step-by-step explanation: 96/4=24
24+50=74
74/2=37