Answer:
The final velocity v is 21.74 m/s.
Step-by-step explanation:
Given:

To find:

Solution:
As we know the third equation of motion is represented as

Substituting the values u, a and s in the above equation we get


Answer:
Rotation
Step-by-step explanation:
Given:
Triangle DEF is congruent to Triangle GHJ by the SSS theorem
To find: transformation required to map Triangle DEF onto Triangle GHJ
Solution:
Two figures are said to be congruent if they overlap each other.
Two polygons are said to be congruent if they have same size and shape.
A rotation is a transformation that turns a figure about the center of rotation.
Rotation transformation is required to map Triangle DEF onto Triangle GHJ
Answer:
Step-by-step explanation:
the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.
They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.
We should recall:
diameter = 2 times the radius circumference of a cirlce = 2π r
How do we find the diameter of the of the semi circle?
The perimeter of the semi circle is given as 108 cm
Perimeter of the semicirle = 2r + π r diameter plus semi circumference
108 = r ( 2 + π) factor out the r and solve for r
108 / (2 + π) = r divide both sides by ( 2 + r)
Now we know r, the perimeter of the squqre is 4 times 2r or 8r
perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14
= 864 / 5.14
= 168.1 cm I got rounded to nearest tenth
<em>When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.</em>