Answer:
Letter A.
Step-by-step explanation:
One way to know that two lines are perpendicular IF their slopes are reciprocals of one another and one slope is negative.
Slope AB is -3/4 and the slope of CD is 4/3.
- 3/4 is the reciprocal of 4/3
- One slope is negative (-3/4)
Answer:
31.42 cm (rounded up to two decimal places)
Step-by-step explanation:
We first find the circumference of the semi-circle segment:
The circumference will be given by; × π × D (where D is the diameter)
The diameter is 6 cm so circumference is;
× π × 6 cm = 9.42 cm (rounded up to two decimal places)
The perimeter of the figure therefore is;
8cm + 6 cm + 8 cm + 9.42 cm = 31.42 cm
Answer:
Step-by-step explanation:
Let's imagine the following situation, if we want to distribute 100 coins between three pirates we could represent this situation with a line arrangement. For example if we had7 coins and 3 pirates one possible distribution of coins would be given by CC|CCCC|C, the C's represent coins and the bars the boundaries between two pirates, for the particular line arrangement shown, we have that pirate A has 2 coins, B has 4 coins and C has a single coin. Another possible arrangement is,
|CCC|CCCC, where pirate A has no coin, pirate B has 3 coins and C has 7 coins. If we take notice of the fact that the arrangement representing a distribution is composed of 9 elements, that is 7 C's and 2 | (bars), then a way to make an arrangement would be to fill 9 empty boxes with our available coins and bars in all the possible ways. This means that if we first choose to fill 7 out of 9 boxes with coins then the number of possible combinations is . In general if we want to distribute n elements in k boxes, where the boxes can either be filled with any number of elements (including 0 number of elements), we have that the number of possible distributions will be possible divisions.
Bonus:
If every pirate wants to have the maximum number of coins possible without being executed, here's how pirate A has to divide the coins in order to keep the largest amount of coins.
We have to think backwards to figure this out. Imagine pirate A was executed and there are only two remaining players. Pirate B should propose to keep all the coins, pirate C could oppose but pirate B's vote would break the vote and keep all the loot. Pirate A, B and C are all aware of this, so pirate A should propose to keep 99 coins and give the remaining gold piece to pirate C, Pirate B will of course oppose the division, but pirate C should accept because if not he would get no coins. Thus the division would be.
A: 99 coins
B: 0 coins
C: 1 coins
Answer:
42
Step-by-step explanation:
Uh, I'm guessing what is being asked here is to solve, so, time to distribute.
(6 - 2.5)(8 + 4)
48 + 24 - 20 - 10
42
Answer:
The answer will be:
b ≥ 10
Step-by-step explanation:
The bracelets cost $2 and the earrings cost $3.
She needs to make at least $60.
She will need to sell more than 10 bracelets.
b = bracelets
e = earrings
2b+3e ≥ 60