Answer:
198 cm²
Step-by-step explanation:
We are given the dimensions of a rectangular prism;
3cm 9cm and 6cm
We are required to determine its surface area;
We need to know that;
Surface area of a rectangular prism is given by;
A = 2(WL+HL+WH)
Where L, W and H are length , width and height respectively;
Assuming;
Width is 3 cm
Length is 9 cm, and
Height is 6 cm
Then;
Area = 2 ( (3×9) + (6×9) + (3×6))
= 2(99)
= 198 cm²
Therefore, the area of the rectangular prism is 198 cm²
Answer:
66045 ways
Step-by-step explanation: There are actually total of 37 student, and total of 4 jobs. But if the jobs are to be done by only one person each, then we are selecting 4 students.
So the number of ways of selecting 4 out of 37 using combination is
=37C4
=37!/(37-4)!(4!)
=37!/33!4!
=66045
Answer:
1/13
Step-by-step explanation:
There exactly 7 seniors 10 Juniors, 12 sophomores and 11 freshman
in which 4 of the juniors are Female , and exactly 2 of the sophomores are male. Therefore,
10-4= 6 juniors are male
12-2 = 10 female sophomores
Total = 7+10+12+11= 40 students
P(male junior then female soph.)= 
P(female soph then male junior)= 
Therefore the final answer will be = 1/26 +1/26= 1/13
Answer:
C
Step-by-step explanation:
We want the equation of the line that passes through (3, 6) and is perpendicular to:

First, convert the second equation into slope-intercept form:

So, we can see that the slope of the line is 3/4.
The slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of the new line is -4/3.
It passes through the point (3, 6).
We can use the point-slope form:

Substitute:

Distribute:

Therefore:

The answer is C.