Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle
, is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:

Now, we will use arctan to solve for theta as:


Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.







Therefore, the opposite side to angle theta is 16.4 feet.
Based on the fact that the Polygon ABCD was translated, then the polygon that is a translation of it will be Polygon 3.
<h3>What polygon is the translation of Polygon ABCD?</h3>
When a shape is translated, it is taken as it is from one area of the coordinate plane, to another area of the plane.
This means that it doesn't change in height, or orientation.
The only polygon that still looks like Polygon ABCD is Polygon 3 which means that it is the translated version.
Find out more on transformations at brainly.com/question/4289712
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Answer:
y= 1/4,1/2,1,2,4,8,16,32,64
Step-by-step explanation:
Make negative powers positive by turning them into a fraction so
is really
=
so
is just
. then
=1 [any number to the zero power is = 1],
2^1 = 2, 2^2=4, 2^3=8, 2^4=16, 2^5=32, 2^6 = 2x2x2x2x2x2=64
Answer:
7/1000
Step-by-step explanation:
1 m = 1000 mm
Therefore,
Scale factor = 7/1000