Answer:
The length of the hypotenuse ≈ 39.7 cm
Explanation:
Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.
The equation for Pythagorean calculation is:
(hypotenuse)² = (first leg)² + (second leg)²
In the given, we have:
first leg = 30 cm
second leg = 26 cm
Substitute with the givens in the above equation to get the hypotenuse as follows:
(hypotenuse)² = (30)² + (26)²
(hypotenuse)² = 1576
This means that:
either hypotenuse = √1576 = 39.69 ≈ 39.7 cm ..........> accepted
or hypotenuse = -√1576 = -39.69 ......> rejected as length can't be negative
Hope this helps :)
Answer:
Explanation:
The general formula to calculate the probability of each event is:
- Probability = number of positive (desired) outcomes / number of total outcomes
Number of apples = 4
Number of peaches = 5
Number of fruits = 9
Since the three times you return the radomly selected fruit, and then mix it, the three times the probability is not affected by the previous selection; so, these are independent events, and you can calculate the probability of the joint event as the product of the probabilities of each individual event.
Probability of getting an apple = number of apples / number of fruits = 4 / 9
Probability of getting a peach = number of peaches / number of fruits = 5 / 9
<u />
Probability of getting a peach = number of peaches / number of fruits = 5 /9
- <u>Joint probability:</u>
= (4/9) × (5/9) × (5/9) = (4 × 5 × 5) / (9 × 9 × 9) = 100 / 729
Answer:
Step-by-step explanation:
Let c be the number.
We are asked to write an expression for given verbal description.
7 times the number c would be 
.
Two less than seven times a number means 2 subtracted from .
Two less than seven times a number c would be .
Therefore, our required expression would be .
Answer:
B
Step-by-step explanation:
because there's one square on the bottom and four triangles on the sides
