<h3>
Answer: 168 square feet</h3>
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Explanation:
The front triangular face is a triangle with base 8 and height 6. Its area is
A = 0.5*base*height
A = 0.5*8*6
A = 24 square feet
The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.
The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet
The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.
Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet
Overall, the total surface area is: 24+24+50+30+40 = 168 square feet
We just add up all the individual areas of each face to get the total surface area.
Answer:
6 3/5 would become 33/5
Step-by-step explanation:
2 + 4 = 6
2/5 + 1/5 = 3/5
6 * 5 = 30
30 + 3 = 33
33/5
Answer: The answer is 
Step-by-step explanation: Given that in a small auditorium, 320 peoples can sit. The number of peoples who can sit in the auditorium is represented by 'p'.
Since no more that 320 people can sit in the auditorium, so the number of persons who can sit there lies between 0 and 360.
Therefore, the inequalities are

Combining both of the above inequalities, we get

Thus, the required inequality is
.
Answer:
8) 18.84 ft
9) 87.92 in
Step-by-step explanation:
circumference=
× 2 × radius
8) 3.14 × 2 × 3 = 18.84 ft
9) 3.14 × 2 × 14 = 87.92 in
Hope this helps youuu! :D
<h2>
There are a total 65,780 ways in which the committee can be made of 5 members.</h2>
Step-by-step explanation:
Here, the total number of technicians in the lab = 15
The total number of chemists in the lab = 11
So, the total members in the lab = 15 + 11 = 26
So, there are total 26 eligible candidates in the lab from which committee of 5 people has to be made.
Now, since there is <u>no restrictions</u> on the choice, so the committee can be formed in nay way, such that:
It may or may not have any technician.
It may or may not have may chemists.
So, the number of ways 5 member can randomly be chosen from a committee of 26 people = 
= 
Hence, there are a total 65,780 ways in which the committee can be made of 5 members.