The total area of the figure is 139.20 square centimeters
Areas
The area of a shape is the amount of space it occupies
<h3>Composite figure</h3>
The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure
The shape has 6 equilateral triangles, each of which has an area of:
Where:
--- the length of each toothpick
The area of the rectangle is then represented as:
So, the total area of the figure is:
This gives
Substitute 6 for s
Hence, the total area of the figure is 139.20 square centimeters
Read more about areas at:
brainly.com/question/21135654
Ideal timeline of the dance routine = 4 minutes = 4 × 60 seconds = 240 seconds
Variation allowed in the dance routine timeline = +- 5 seconds
Let the timeline of the dance routine be T
⇒ 240 seconds - 5 seconds < T < 240 seconds + 5 seconds
⇒ 235 seconds < T < 245 seconds
⇒ 
minutes < T < 
minutes
⇒ 3.92 minutes < T < 4.08 minutes
So the least possible time of the dance routine can be 3.92 minutes (or 235 seconds) and the greatest possible time of the dance routine can be 4.08 minutes (or 245 seconds)
'Pi' ( π ) is the ratio of the circumference of a circle to its diameter.
The exact value of 'pi' can't be completely written with numbers, so whenever
we use 'pi', we always use an approximation.
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Rate = miles / time
8/t = 7/ 35
Dividing by 7
8/t = 7/ 35
8/ 7t = 1/ 35
Multiplying by t
8/7 = t/35
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Options
1) 8/t = 35/ 7 (False, t/8 = 35/ 7 )
2) t/8 = 7/ 35 (False, t/8 = 35/ 7 )
3) 8/7 = t/ 35 (TRUE)
4) 7/8 = t/35 (False, 8/7 = t/ 35 )
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Answer
3) 8/7 = t/ 35 (TRUE)
If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
