Answer:
38.60mm
Step-by-step explanation:
Step one:
Given data
We are given that the dimension of the triangles are length 23 mm and 31 mm
Let us assume that the triangle is a right angle triangle
Step two:
Applying the Pythagoras theorem we can find the third as
square both sides
z= √ 1490
z= 38.60mm
Hence a possible dimension of the third side is 38.60mm
Answer:
Step-by-step explanation:
Use the slope formula:
where m = slope
Given the coordinates
(-4, 4) ---> this means x1 = -4 , y1 = 4
(2, -5) ---> this means x2 = 2 , y2 = -5
Substitute these values into the slope formula:
(a) You can parameterize <em>C</em> by the vector function
<em>r</em><em>(t)</em> = (<em>x(t)</em>, <em>y(t)</em> ) = <em>P</em> (1 - <em>t </em>) + <em>Q</em> <em>t</em> = (2 - 2<em>t</em>, 7<em>t</em> )
where 0 ≤ <em>t</em> ≤ 1.
(b) From the above parameterization, we have
<em>r</em><em>'(t)</em> = (-2, 7) ==> ||<em>r</em><em>'(t)</em>|| = √((-2)² + 7²) = √53
Then
d<em>s</em> = √53 d<em>t</em>
and the line integral is
(c) The remaining integral is pretty simple,
