I'll start 18 and 22 for you, and you should then be able to do the rest on your own!
For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!
For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
Answer:
Surface area is the area inside of a shape or closed place. There are differnet formulas in math to get the surface area like length X width
Answer:
9.25 or or 9 1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the probability that when two cards are drawn from a deck of cards without
replacement that both of them will be 8’s?
(ℎ 8
′
) = ( 8) ∙ ( 8)
( 8) =
4
52
There are three 8’s left in the deck if one is pulled and not replaced, and 51 total
cards remaining.
( 8) =
3
51
(ℎ 8
′
) =
4
52 ∙
3
51 =
12
2652 =
1
221 = .0045 .45%
The total balance in Raul's account after 40 years when he retires is $65,714.90.
<h3>What is the total balance?</h3>
The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 1.5/12
- n = number of periods = 12 x 40 = 480
$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90
Here is the complete question:
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?
To learn more about annuites, please check: brainly.com/question/24108530
