The area of a square is (side)².
If the area is 128m², then the side is (√128) meters. (That's 8√2.)
The diagonal is the hypotenuse of the right triangle you get
if you slice the square in half along the diagonal. Its length is
given in the words of Old Pythagoras:
c² = a² + b²
'a' and 'b' are sides of the square, so
c² = (√128)² + (√128)²
= 2 (√128)²
c = √ (2 x 128) = √256 = 16 meters .
Answer:
-The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup(
)
Step-by-step explanation:
Given that the number of events is 25 and 13 are meat dishes, 8 are pasta dishes, and 4 are soups.
-Probability is defined as the number of successful event divide by the total number of events.
#find probability of each event:


Hence, the FALSE choice is:The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup.
Answer:
- The sum of the interior angles of the 15-gon

- Each interior angle of the regular polygon

Step-by-step explanation:
As we know that
In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,
The number of triangles thus formed would always 2 LESS than the number of sides.
As
- The sum of measure of the angles of any triangle is 180°.
Thus,
The sum of the interior angles of the 15-gon will be:

Also
15-gon is regular, it means this total
is shared in equal proportion among the 15 interior angles.
And
Each interior angle of the regular polygon will be: 
Therefore, we conclude that:
- The sum of the interior angles of the 15-gon

- Each interior angle of the regular polygon

Keywords: regular polygon, 15-gon, triangle
Learn more about polygon from brainly.com/question/11932357
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Assuming that's a 40 minutes a lesson the minutes the tennis teacher teaches in a week is 800 minutes
Answer:






Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

Distribution






