Answer:
22.8 m/s at 17.4°
Step-by-step explanation:
You want to find the resultant of ...
3 cis 0° +20 cis 20° = (3, 0) +(18.794, 6.840) = (21.794, 6.840)
The magnitude is the root of the sum of the squares of the velocities in the horizontal and vertical directions:
s = √(21.794² +6.840²) ≈ 22.8
The direction is found from the fact that the tangent of the angle is the ratio of vertical to horizontal coordinates:
angle = arctan(6.840/21.794) ≈ 17.4°
The resultant velocity is 22.8∠17.4° meters per second.
Answer:
1
Step-by-step explanation:
: P.
1mile because 1/5 X 5 = 1/1 or 1 :)
Properties of a rhombus:
1. the all sides are equal
2. opposite angles are equal
3. consecutive angles are supplementary
4. The diagonals bisect the angles.
5. The diagonals are perpendicular bisectors of each other.
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∵ abcd is <span>a rhombus:
</span>
<span>∴ ∠ abc = 2 ∠ebc = 2 * 36° = 72° ⇒⇒⇒ property number (4)
</span>
<span>∴ ∠ dab = 180 - ∠abc = 180° - 72° = 108° </span><span>⇒⇒⇒ property number (3)
</span>
∴ ∠ dae = 108°/2 = 54° <span>⇒⇒⇒ property number (4)
</span><span>
</span><span>
</span><span>See the attached figure.</span>
Answer:
y = - 2x + 4
Step-by-step explanation:
Assuming you require the equation of the line.
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
To find c substitute (- 1, 6) into the partial equation
6 = 2 + c ⇒ c = 6 - 2 = 4
y = - 2x + 4 ← equation of line