Answer:
Volume: 52 Units Squared
Surface Area: 94 units.
Step-by-step explanation:
The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.
The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.
Answer:
Edison will be paid $15,112 for 3 months
Step-by-step explanation:
Edison receives an annual fixed pay = $45,448.
Monthly pay = 45,448/12 = $3787.33
3-month salary = $3787.33 *3 = $11.362
Commission = 15%
Total sale = $25,000 for the first 3 months.
Commission amount = 25,000*0.15 = $3750
Therefore, total pay that Edison received during first 3 months= salary + commission
= $11,362 + $3750
= $15,112
Thank you.
Answer:
50
Step-by-step explanation:
__
We make use of the special form for the difference of squares:
(a+b)(a-b) = a²-b²
Since the sequence is arithmetic, we have an expression of the form:
Where,
a1: first term of the sequence
d: common difference
n: number of terms
We look for the common difference:
Then, setting values we have:
Then, the sum of the terms is:
Substituting values:
Answer:
the sum of the arithmetic sequence 8, 15, 22 is:
Sn = 2483
Hello!
When they are asking for the difference between two numbers, they are meaning basically to find what 192-95=97
So the difference between 96 and 192 is 97
Hope this helps! Thank you so much!!
