Robert has $50 to spend on his utility bills each month. The basic monthly charge is 23.77 electricity costs 0.1117 for each kil
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Answer:
procedure always produces 6
Step-by-step explanation:
Let 'n' be the unknown number
Add 4 to the number : n+4
multiply the sum by 3.
multiply the sum n+4 by 3
Now subtract 6, so we subtract 6 from 3n+12
finally decrease the difference by the tripe of the original number
triple of original number is 3n
so the procedure always produces 6
For a better understanding of the solution, please follow the diagram in the attached file.
A regular quadrilateral is basically a square.
So, if the base of the prism has a perimeter of 60 cm, then the length of the side of the square will be . It is shown of the diagram.
Now, from the diagram, it is clear that the lateral face area, which is given as 105 cm^2, is the product of the side of the square, which is known, and the unknown height, let us call it h. Thus, we will get the following equation:
This is depicted on the diagram.
Now, all our required parameters are in place. Thus, let us find what has been asked.
<u>SURFACE AREA</u>
Surface Area (SA) will be the sum of the areas of the two bases (squares) and the areas of the four lateral faces.
Since the side of one square base is 15 cm, therefore, the area of one square base will be .
Likewise, the area of one lateral surface is actually the area of a rectangle with length 15 cm and height 7 cm. Thus, it's area will be given as: .
Thus, our equation will be:
Therefore, Surface Area=870 cm^2
<u>VOLUME OF THE PRISM</u>
The volume of the prism will simply be the area of the base times the height of the prism.
Thus, the volume is:
Answer:
atleast 52
Step-by-step explanation:
Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.
An applicant scored 70%, 77%, and 81% on the first three exams,
Since weightages are not given we can assume all exams have equal weights
Let x be the score on the 4th test
Then total of all 4 exams =
Average should exceed 70%
i.e.
Comparing the two totals we have
Hemust score on the fourth test a score atleast 52 to maintain a 70% or better average.