Answer:
The length of OR = 3.12
Step-by-step explanation:
In a parallelogram:
LM = 4.12
MN = 4
LN = 5 = 2.5 (divided by 2)
OM = 6.4
where LN and OM are diagonals. We will find the length of OR.
Now by applying the Pythagorean theorem:
b = √c²-a²
OR= √(4)²-(2.5)²
OR = √16-6.25
OR = √9.75
OR = 3.12
Thus the length of OR = 3.12 ...
Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:

Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)

=2/4=1/2
Answer:
135 and 135
Step-by-step explanation:
The computation is shown below:
The number of examiners who passed in only one subject is as follows
= n(E) - n(E ∩M) + n(M) - n(E ∩M)
= (80 - 60 + 70 - 60)%
= 30%
Now the number of students who passed in minimum one subject is
n(E∪M) = n(E) + n(M) - n(E ∩M)
= 80 - + 70 - 60
= 90%
Now the number of students who failed in both subjects is
= 100 - 90%
= 10% of total students
= 45
So total number of students appeared for this 450
So, those who passed only one subject is
= 450 × 30%
= 135
Now the Number of students who failed in mathematics is
= 100% - Passed in Mathematics
= 100% - 70%
= 30% of 450
= 135
Answer:
just plug in
g(x)=7x
g(-7)=7*(-7)
7*(-7)=-49
Step-by-step explanation: