Answer:
The players ran 150 meters
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:
90² + 120² = c²
8100 + 14400 = c²
c² = 22500
√c² = √22500
c = 150
Answer:
3B
Step-by-step explanation:
The greatest common factor is the greatest number that will divide two values. We have two values 3B and 30B. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:
3B: 1,3,B
30B: 1, 3, 5, 6, 10, B
Both have 3 and B has factors. Our GCF is these two factors.
Answer:
The probability is
≅ 
Step-by-step explanation:
Let's analyze the question.
There are 15 students in the 8th grade.
The students are randomly placed into three different algebra classes of 5 students each.
We are looking for the probability that Trevor, Terry and Evan will be in the same algebra class.
One possible way to solve this question is to think about the product probability rule.
We can use it because we are in an equiprobable space. (And also the events are independent).
Let's set for example a class for Evan.
The probability that Evan will be in a class is 
Then for Terry there are
places out of
that puts Terry in the Evan's class.
We write 
Finally for Trevor there are
places out of the remaining
that puts Trevor in the same class with Evan and Terry.
Using the product rule we write :

The probability of the event is
≅ 
Answer:
Ella got the highest marks.
Step-by-step explanation:
Given that:
Camilla got 4/5 of the 200 marks.
Marks of Camilla = 
Marks of Camilla = 160 marks
Lincoln got 44% of the 200 marks.
Marks of Lincoln = 
Marks of Lincoln = 88 marks
Ella got 198 out of 200.
On comparing,
198 is the highest out of 200.
Hence,
Ella got the highest marks.
Answer:
y=-x/3-8
Step-by-step explanation:
First we find 2 points:
(0,-8) and (6,-10)
then substitute in y=ax+b equation
-8=0a+b, b=-8
-10=6a-8
a= -1/3