Answer:
<I= 15degrees
Step-by-step explanation:
Using the cosine rule formulae;
j² = i²+k²-2i cos <J
j² = 37²+57² - 2(37)(57)cos <141
j² = 1369+ 3249- 4218cos <141
j² = 4618- 4218cos <141
j² = 4618-(-3,278)
j²= 7,896
j = √7,896
j = 88.86inches
Next is to get <I
i² = j²+k²-2jk cos <I
37² = 88.86²+57² - 2(88.86)(57)cos <I
1369 = 7,896.0996+ 3249- 10,130.04cos <I
1369 = 11,145.0996 - 10,130.04cos <I
1369 - 11,145.0996 = - 10,130.04cos <I
-9,776.0996=- 10,130.04cos <I
cos <I =9,776.0996 /10,130.04
cos<I = 0.96506
<I = 15.19
<I= 15degrees
The square's diagonal is the triangle's hypotenuse.
the original Pythagorean theorem is
where
a and
b are the two sides and
c is the hypotenuse.
that means the Pythagorean theorem for this question is:
or
<u>Answer:</u>
The chance that any single department is chosen for auditing in a given week is 0.04%
<u>Explanation:</u>
Given that a department within an agency is randomly chosen per week for auditing and we are given total number of departments are 25 departments of which 1 is to be chosen.
Now chance of any single department to be chosen in any particular week will be given by 1 dividing by total no. of departments
which is equal to 1/25
1/25 = 0.04%
which is the chance of percentage of choosing a department
70% of 60 is just 60 multiplied by 0.7:
Then you add to get the total days:
So, in total, you have
102 days.
