The answer is B. 16.1 square meters
The region has triangular shape. To calculate the area of the triangle when three sides are known, we will use the Heron's formula:
A = √s(s-a)(s-b)(s-c)
where:
A - the area of the triangle
a, b, and c - the sides of the triangle
s - half of the triangle's perimeter: s = (a+b+c)/2
It is given:
a = 13 m
b = 5 m
c = 9 m
First, calculate s:
s = (a+b+c)/2 = (13+5+9)/2 = 13.5
Now, it is easy to calculate the area:
A = <span>√s(s-a)(s-b)(s-c) = </span>√13.5(13.5-13)(13.5-5)(13.5-9) = √13.5×0.5×8.5×4.5 = √258.19 = 16.07 ≈ 16.1
Answer:
(0,10) and (2,4) and (3,1)
Step-by-step explanation:
All I did was substitute the x value
Have a great day!
:)
Answer:
0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
The probability of independent events happening at the same time is the multiplication of the probabilities of each events.
First card:
A standard deck has 52 cards, of which 13 are diamonds. So

Second card:
The first card is replaced, so still 52 cards, of which 13 are clubs. So

What is the probability that the first card drawn is a diamond and the second card is a club?
Each drawing is independent, so

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club
Answer:
Both flow rapidly down a slope and can be triggered by an earthquake. Landslides contain only rock and soil, while mudflows contain rock, soil, and a high percentage of water.
Step-by-step explanation: