Answer:
d = 233.23 feet
Step-by-step explanation:
Given that,
Justin walks 200 feet to the east, then turns and walks 120 feet due south.
We need to find the total distance walked by Justin. Let the distance be d.
We can use the Pythagoras theorem to find it such that,
So, he walk 233.23 feet in all.
Answer:
Region D.
Step-by-step explanation:
Here we have two inequalities:
y ≤ 1/2x − 3
y < −2/3x + 1
First, we can see that the first inequality has a positive slope and the symbol (≤) so the values of the line itself are solutions, this line is the solid line in the graph.
And we have that:
y ≤ 1/2x − 3
y must be smaller or equal than the solid line, so here we look at the regions below the solid line, which are region D and region C.
Now let's look at the other one:
y < −2/3x + 1
y = (-2/3)*x + 1
is the dashed line in the graph.
And we have:
y < −2/3x + 1
So y is smaller than the values of the line, so we need to look at the region that is below de dashed line.
The regions below the dashed line are region A and region D.
The solution for the system:
y ≤ 1/2x − 3
y < −2/3x + 1
Is the region that is a solution for both inequalities, we can see that the only region that is a solution for both of them is region D.
Then the correct option is region D.
Answer:
Option A.
Step-by-step explanation:
According to this survey results :
Students : 80 like viking and 20 like patriot.
Teachers : 5 like viking and 15 like patriot.
In Option B it is given that patriot is more popular in students while viking is more popular in teachers which is not correct.
In option c patriot is equally popular in students and teachers, which is also not correct. because patriot is popular in 20% of students but 80% in teachers, which is not correct.
In option d there is no difference between students and teachers, this statement is also not correct because there is lots of differences in their choices.
In Option A it is said that viking is more popular in students but patriot is more popular in teachers. this is correct.
Answer: 2%
Step-by-step explanation:
1600/80000. Simplifying by 100:
16/800. Simplifying by 8, comes to:
2/100 = 2%
