Refer to the diagram shown below.
Let x = the length of the third side (the hypotenuse) of the right triangle.
From the Pythagorean Theorem, obtain
x² = 9² + 40² = 81 + 1600 = 1681
x = 41
Answer: 41
Answer:
two-fifths over two-sevenths equals one and two-fifths miles per hour .
The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
Answer:
<em>A) similar; SAS similarity.</em>
Step-by-step explanation:
<u>SAS Triangle Similarity</u>
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5
Sides JK and BC have a ratio of 81/18 = 4.5
Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.
A) similar; SAS similarity.