Make a change of coordinates:
The Jacobian for this transformation is
and has a determinant of
Note that we need to use the Jacobian in the other direction; that is, we've computed
but we need the Jacobian determinant for the reverse transformation (from
to
. To do this, notice that
we need to take the reciprocal of the Jacobian above.
The integral then changes to
The effect of Claudia's changing the height of of the triangle from 1 inch
to 3 inches is the option;
- The height of the triangle changed to three inches but the width remained 1 inch
<h3>Which option gives the effect of changing the height?</h3>
The given dimensions of the equilateral triangle Claudia added are;
Height of the triangle = 1 inch
Width of the triangle = 1 inch
The value Claudia typed in the Shape Height box = 3
Required:
What happened to the shape after she press Enter
Solution:
By entering 3 in the Shape Height box, changes the height of the
equilateral triangle to 3 inches but the width remains 1 inches
From a similar question posted online, the correct option is therefore;
- The height of the triangle changed to three inches but the width remained 1 inch
Learn more about triangles here:
brainly.com/question/16430835
Step-by-step explanation:
Using Binomial Expansion,
(x + y)³
= 3C0 * x³ + 3C1 * x²y + 3C2 * xy² + 3C3 * y³.
Therefore the coefficient of xy² is 3C2 = 3.
Answer: The tree was 27 feet tall
Step-by-step Explanation: First of all Sally was standing 30 feet away from the tree and she looks up at an angle of elevation of 38 degrees to the top of the tree. With this bit of information we can determine that a right angled triangle has been formed with the reference angle as 38 degrees, the side facing it as h (the height of the tree) and the adjacent side as 30. We shall apply the trigonometric ratio as follows;
Tan 38 = opposite/adjacent
Tan 38 = h/30
0.7813 = h/30
0.7813 x 30 = h
23.4 = h
We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4
Therefore the tree was 27 feet tall (approximately to the nearest foot)