Final Answer M= 4,12 i think this is adding
The missing side length is c = 25 units.
Step-by-step explanation:
Step 1:
The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.
As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
The length of the hypotenuse is given as c units.
Step 2:
According to Pythagoras theorem,


So the missing length, c of the given triangle is 25 units.
Average (mean) = (sum of all the data) / (# of data)
sum of all the data = (average)(# of data)
Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300
and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500
Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %
Now if there are x # of advanced students and y # of regular students, then
x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)
The second equation can be simplified to x - 2y = 0
Subtracting the two equations yields
x = 60 and y = 90
Therefore you would need 60 advanced and 30 regular students.
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by

We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,

Substituting the values, r = 6.3 and π = 3.14, we have;

Simplifying the values, we have;


Dividing, we have;

Rounding off to the nearest tenth, we get;

Thus, the volume of the hemisphere is 523.5 cm³
C
..................................