Answer:
Step-by-step explanation:
question no . 5
ratio of angle L
take angle as reference angle
using cos rule
cos L = base / hypotenuse
= 4/5
ratio of angle N
take angle N as reference angle
using sin rule
sin N = opposite / hypotenuse
= 4/5
for measure of angle L
cos L = 4/5
cos L = 0.8
L = 
L = 36.9
for meanure of angle N
sin N = 4/5
sin N = 0.8
N = 
N = 53.1
Answer:
The area between the two functions is approximately 1.333 units.
Step-by-step explanation:
If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).
To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.
First we need to find where they intersect:
2x = x²
2 = x
So they intersect at (2, 4) and (0, 0)
Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):

So the correct answer is C, the area between the two functions is 4/3 units.
Answer: 4.83
Step-by-step explanation:
2.3*2.1= 4.83
Answer:



Step-by-step explanation:
<u>Verify each statement</u>
case A) 
The statement is True
we know that
The measure of angle A is equal to the angle marked
by corresponding angles
case B) ∠B and the angle marked
are alternate exterior angles
The statement is False
Because, ∠B and the angle marked
are corresponding angles
case C)
because it is a vertical angle to the angle marked 
The statement is True
we know that
------> by vertical angles
case D) ∠B and ∠C are supplementary angles
The statement is False
we know that
---> the sum is less than
case E) 
The statement is True
we know that

and remember that

so
substitute

Answer:
0.28
Step-by-step explanation:
Refer the attached figure
Given :
People who live in their hometown and graduated from the college =8
People who do not live in their hometown and graduated from the college = 10
People who did not graduate from college and lives in home town = 6
People who did not graduate from college and do not live in home town = 4
To Find : Among people who do not live in their hometown, what is the relative frequency of not graduating from college?
Solution :
The total no. of people who do not live in home town whether they are graduated or not graduated = 14
People who did not graduate from college and do not live in home town = 4
Thus Among people who do not live in their hometown the relative frequency of not graduating from college :
People who did not graduate from college and do not live in home town/total no. of people who do not live in home town whether they are graduated or not graduated
⇒
⇒
⇒
Thus , Among people who do not live in their hometown the relative frequency of not graduating from college = 0.28