Answer: 4^3
Step-by-step explanation: A number (4 in this case) is raised to the number of times it is multiplied by itself. 4 is multiplied by itself 3 times so 3 is the exponent.
Answer:
A = B + 52
Step-by-step explanation:
A is the total amount each week. 52 is the initial amount that she earns each week. Then, B represents the amount of books she sells. So, 15 books can be represented by
A = 15 + 52 = 67
Answer:
B
Step-by-step explanation:
a table must have 108 blue shirts in total and 96 green shirts
first you add them to find out if the blue shirts have 108
you also need to make sure if green has 96 shirts too
i hope this was helpful
Answer:
- 13 - 23 = - 13 + (-23)
= -36
- 13 - (- 23) = - 13 + 23
= 10
Step-by-step explanation:
In any order of operation (i.e. addition, subtraction, multiplication, devision) the following rules apply for two values for instance <em>a </em>and <em>b </em>where <em>a > b </em>:
→ <em>If +a and +b then the final sign will be + (positive)</em>
→ <em>If +a and -b then the final sign will be + (positive) since a>b</em>
→ <em>If -a and +b then the final sign will be - (negative) since a>b</em>
→ <em>If -a and -b then the final sign will be - (negative)</em>
In the given question we have two cases.
Case 1:
- 13 - 23 = - 13 + (-23) <em>→ since it is given that we add a negative value of -23, therefore it keeps its sign (so this would be a negative addition i.e. adding two negative values)</em>
Thus we have:
- 13 - 23 = - 13 + (-23)
= -36
Case 2:
- 13 - (- 23) = - 13 + 23 <em>→ since we stated earlier that - and - gives positive sign (i.e. we subtract two negative values)</em>
Thus we have:
- 13 - (- 23) = - 13 + 23
= 10
<em>So we can see that: </em>
<em>Adding two Negative values gives a Negative value (Case 1)</em>
Subtracting two Negative values gives a Positive value (Case 2)
the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.
from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.
the standing up sides are simply rectangles of 8x3.
if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.
![\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20regular%20polygon%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Dap~~%20%5Cbegin%7Bcases%7D%20a%3Dapothem%5C%5C%20p%3Dperimeter%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%3D5%5C%5C%20p%3D24%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%285%29%2824%29%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bjust%20for%20one%20octagon%7D%7D%7BA%3D60%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Btwo%20octagon%27s%20area%7D%7D%7B2%2860%29%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Beight%20rectangle%27s%20area%7D%7D%7B8%283%5Ccdot%208%29%7D%5Cimplies%20120%2B192%5Cimplies%20312)
