A lock is using 3 digits from 1 to 7 as its lock combination, the numbers can be repeated. How many different possible lock comb
1 answer:
The question is an illustration of selection (or combination)
The number of lock combination is 343
The given parameters are:
<em /><em> --- the number of digits to select from</em>
<em /><em> --- the number of digits the lock uses</em>
<em />
Because the digits can be repeated, the number of lock combinations is:
So, we have:
Hence, the number of lock combination is 343
Read more about combinations at:
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Answer:
First, find the area of rectangle.
20 × 30 = 600
Next multiply the square
10 × 10 = 100
Now the curve.
100/2 =50
Then Add all of it.
Hope this helps!
-Fishylikeswater
Purple color figure is similar to the original figure.
<u>Solution:</u>
Property of similar polygon:
<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>
(1) <u>Compare original figure with green color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the green color figure:
67°, 23° and 90°
These two angles of the triangles not congruent angles.
Hence these shapes are not similar.
(2) <u>Compare original figure with yellow color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the yellow color figure:
67°, 23° and 90°
These two angles of the triangles are not congruent angles.
Hence these shapes are not similar.
(3) <u>Compare original figure with purple color figure:</u>
Angles of the original figure:
37°, 53° and 90°
Angles of the purple color figure:
37°, 53° and 90°
These two triangles have same shape and congruent angles.
Ratio of the sides:
These two triangles have same ratio.
Hence these shapes are similar.
Hence purple color figure is similar to the original figure.