Answer:
•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25
•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25
cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗
sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5
Answer:
29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d, d being greater than c, is given by the following formula:
Uniformly distributed between 38 seconds and 79 seconds.
This means that 
What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem
29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem
Lines are neither perpendicular nor parallel.
Step-by-step explanation:
Step 1:
In equation 1, Y = 5X + 7
In equation 2, Y = -2X -5
Step 2:
Slope Intercept form Y =mX +c
Where m = Slope
Slope of line 1 = 5
Slope of line 2 = -2
m1 is not equal to m2. Hence it is not parallel.
m1 × m2 is not equal to -1. Hence they are not perpendicular.
Answer: B- no
Hope this helped
Answer:
3x + y - 3
Step-by-step explanation:
<u>Like Terms</u>: In algebra, like terms are terms that have the same variables and powers.
To simplify this expression and get an expression that is eual to 5x + 3y - 2x - 2y - 3 I used <em>like terms</em> :
(5x - 2x) + (3y - 2y)
(5x - 2x = <em>3x</em>) + (3y - 2y = <em>1y or y</em>)
3x + y
Then we add the <em>- 3 </em>at the end giving us:
<u><em>3x + y - 3</em></u>
