Answer:
between 8 and 9
Step-by-step explanation:
The square of 8 is 64, which is less than 78.
The square of 9 is 81, which is more than 78.
The square root of 78 will lie between 8 and 9 on the number line.
_____
√78 is near 8.832
Answer:
x = 120°
y = 60°
Step-by-step explanation:
✔️since, lines l and m, area parallel, therefore,
x = 120° (they are corresponding angles having matching corners. Thus, corresponding angles are congruent to each other)
✔️x + y = 180° (linear pair angles)
Plug in the value of x
120 + y = 180
Subtract 120 from each side of the equation
y = 180 - 120
y = 60°
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: reflection
Step-by-step explanation:
A reflection is like a mirror in the middle you can see they are the same in the line down the middle so <em>reflection </em>