Answer:
The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship ⇒ last answer
Step-by-step explanation:
* Lets explain how to sole the problem
- Proportional relationship describes a simple relation between
two variables
- In direct proportion if one variable increases, then the other variable
increases and if one variable decreases, then the other variable
decreases
- In inverse proportion if one variable increases, then the other variable
decreases and if one variable decreases, then the other variable
increases
- The ratio between the two variables is always constant
- Ex: If x and y are in direct proportion, then x = ky, where k
is constant
If x and y in inverse proportion, then x = k/y, where k is constant
* Lets solve the problem
# Last table
∵ x = 3 and y = 6
∴ x/y = 3/6 = 1/2
∵ x = 5 and y = 10
∴ x/y = 5/10 = 1/2
∵ 1/2 is constant
∵ x/y = constant
∴ x and y are proportion
* The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship
Answer:
10√3 / 3
Step-by-step explanation:
cos 30 = 5 / x
x = 5 / cos 30
= 5 / √3 / 2
= 10 √3
= 10√3 / 3
I believe it is option 2, sorry if incorrect
Answer:
a. 24
b. 2
c. 0.0833 = 8.33%
Step-by-step explanation:
a.
The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.
So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive
b.
If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2
c.
If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%
Answer:
Step-by-step explanation:
Using the formula for calculating the distance between 2 points.
D = √(x2-x1)²+(y2-y1)²
Given
D = 45 units
The coordinates Q(–1, a) and P(3,2)
45 = √(3-(-1))²+(-2-a)²
45 = √4²+(-2-a)²
45 = √16+(-2-a)²
45² = 16+(-2-a)²
45² = 16+4+4a+a²
45² = 20+4a+a²
a²-4a+20-2025 = 0
a²+4a-2005 = 0
a = -4±√16+4(2005)/2
a = -4±√16+8020/2
a = -4±√8036/2
a = -4±90/2
a = -4+90/2
a = 86/2
a = 43
The possible values of a is 43
