Answer:
x =39°
the total interior angles of a triangle is 180°
let the unknown angle be x,
solve:
x + 39 + 102 = 180°
x = 180° - 39° - 102°
x = 39°
Therefore the unknown angle is 39°
1) Determine the horizontal force, Fx, exerted by the block on Usain
cos(20°) = Fx / F => Fx = F*cos(20) = 1700N*cos(20) = 1597.48 N
2) Determine the Impulse of that force on Usain.
I = F*t = 1597.48N * 0.32s = 511.19 N*s
3) Determine change in momentum of Usain, Δp
Δp = I = 511.19 N*s
4) Find change if velocity
Δp = Δ(mV) = mΔV => ΔV = Δp / m = 511.19 N*s / 86 kg = 5.94 m/s
Given the Usain started from rest, the velocity is ΔV - 0 = 5.94 m/s
Answer: 5.94 m/s
Answer:
359.94 = 59.99 * X
Step-by-step explanation:
The situation is determined by the following equation:
T = M * X
Being M the monthly value, that is to say 59.99
T the total value, that is 359.94
And X would be the number of months, and at the same time the variable.
In this case it would be like this:
359.94 = 59.99 * X
If we solve for X, we are left with:
X = 359.94 / 59.99
X = 6
That is to say that Megan went to the gym for 6 months of the year
Answer:
Step-by-step explanation:
Given
i.e. first to fifth
Required
Determine number of selection
1st position = Any of the 30 students
2nd position = Any of the 29 students
3rd position = Any of the 28 students
4th position = Any of the 27 students
5th position = Any of the 26 students
Number of selection is then calculated as:
Answer:
Length = 3 cm
Width = 1 cm
Step-by-step explanation:
Let the length of rectangle be l and width of rectangle be w.
According to problem,
l = 3w {Length of rectangle is equal to triple the width}
And Perimeter,P = 8 cm
Since, P = 2 ( l + w )
or 8 = 2( l + w)
Plug l =3w in the above perimeter equation.
We get:
8 = 2( 3w + w)
8 = 2(4w)
8 = 8w
or w = 1 cm
Then length ,l = 3w =3 * 1 = 3 cm
Hence length of rectangle is 3cm and width of rectangle is 1cm.
