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2 years ago

Make a hypothesis about the sum of the interior angles of any triangle. Explain why your hypothesis works for all triangles.

Mathematics

2 answers:

jolli1 [7]2 years ago

9 0

Answer:

Sample Response: The sum of the three angles of any triangle will always be 180 degrees because when all three angles are put together, they form a straight line.

Step-by-step explanation:

ad-work [718]2 years ago

6 0

Answer:

Step-by-step explanation:

The sum of the three angles of any triangle will always be 180 degrees because when all three angles are put together, they form a straight line.

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Kazeer [188]

Answer:

Question 13: For age groups y=1 and y=1.3 response is 8 microseconds.

Question 14: The club was making a loss between 11.28 and 4.88 years.

Step-by-step explanation:

Question 13:

The age group y for which the response rate R is 8 microseconds is given by the solution of the equation

$8=y^4 +2y^3 - 4y^2 -5y +14.$

We graph this equation and find the solutions to be

$y=1;$ $y=1.302;$ $y=-2;$ $y=-2.302.$

Since only positive solutions for y are valid in the real world we take only those.

Thus only for age groups y=1 and y=1.3 the response is 8 microseconds.

Question 14:

The footbal club is making a loss when $p(t)$

$t^3 -14t^2 +20t +120$

We graph this inequality and find the solutions to be

$t$ and $4.88$

Since in the real world only positive values for t are valid, we take the the second solution to be true.

Thus the club was making a loss in years $4.88$

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