Answer:
a=3, b=3, c=5
Step-by-step explanation:
4÷1
=a
=÷
=×
=
=3
=3
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
2 answers:
Answer:
<u>Figure A</u>
Step-by-step explanation:
See the attached figure which represents the given options
We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.
As shown: point A will map to point L, point R will map to point P and point Q will map to point K.
we will check the options:
<u>Figure A</u>: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.
<u>Figure B: </u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.
<u>Figure C:</u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.
<u>Figure D:</u> the triangle ARQ and LPK can be mapped to each other using a rotation about point A.
So, the answer is figure A
<u>The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.</u>
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Answer:
Step-by-step explanation:
The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.
<h3>Area of each triangle:</h3>From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:
From the figure, we know that and the radius is
. So, the are would be calculated with this formula:
Replacing all values:
Remember that
Therefore,
Now, the total are of the figure is:
Therefore the area of the symmetrical pool is