4. To determine if a triangle is a right triangle, given that you know the length of its sides, you have to check if its lengths follow the Pythagorean theorem.
This theorem states that the square of the hypothenuse (c) is equal to the sum of the squares of the legs of the triangle (a and b), following the expression:
The triangle is:
We have to check that a²+ b² is equal to c².
The square of the hypothenuse is:
The sum of the squares of the legs of the triangle is:
As you can see, the sum of the squares of the legs of the triangle is 100, which is the same as the square of the hypothenuse. The triangle follows the Pythagorean theorem and can be considered a right triangle.
40/50=0.8
0.8*100=80%
Hope this helps!
Answer:
The carnival is losing (on average) $0.15 on each play
Step-by-step explanation:
To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.
Expected is the sum of the payouts of each bet multiplied by its likelihood:
Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:
The carnival is losing (on average) $0.15 on each play
Answer:
(c) or 10 is the answer
Step-by-step explanation:
In order to find slope you have to follow the formula
(y2-y1) / (x2-x1)
That would give you the slope which in this case is 10.
Answer: 9/25 or 36%
Step-by-step explanation:
72 + 28 + 62 + 38 = 200
There are 200 people in total and 72 are youngsters who like sport cars.
So, the number of youngsters who like cars out of the total number of people is 72/200.
Now, find a greatest common divisor. In this case, the greatest common divisor is 8.
72 / 8 = 9
200 / 8 = 25
9/25 (fraction)
25 * 4 = 100
9 * 4 = 36
36/100 = 36% (percentage)
